Commemorazione di Carlo Cercignani
La Matematica nella società e nella cultura, Série 1, Tome 4 (2011) no. 2, pp. 275-303.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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Lampis, Maria. Commemorazione di Carlo Cercignani. La Matematica nella società e nella cultura, Série 1, Tome 4 (2011) no. 2, pp. 275-303. http://geodesic.mathdoc.fr/item/RIUMI_2011_1_4_2_a5/

1 C. Cercignani, ``Elementary solutions of the linearized gas dynamics Boltzmann equation and their application to the slip flow problem'', Annals of Physics 20, 219 (1962). | DOI | MR | Zbl

2 C. Cercignani, ``Plane Poiseuille flow and Knudsen minimum effect'', in ``Rarefied Gas Dynamics'', J. A. Laurmann ed., Vol II, 92, Academic Press, New York (1963). | MR

3 C. Cercignani, ``Shear flow for gas molecules interacting with an arbitrary central force'', Nuovo Cimento 27, 1240 (1963). | Zbl

4 S. Albertoni, C. Cercignani and L. Gotusso,``Numerical evaluation of the slip coefficient'', Phys. Fluids 6, 993 (1963).

5 C. Cercignani and A. Daneri, ``Flow of a rarefied gas between two parallel plates'', Jour. Appl. Phys. 34, 3509 (1963). | MR

6 C. Cercignani and F. Sernagiotto, ``Rayleigh's problem at low Mach number according to kinetic theory'' in ``Rarefied Gas Dynamics'', J. H. de Leeuw ed., Vol I, 332, Academic Press, New York (1965). | MR

7 C. Cercignani and F. Sernagiotto, ``The method of elementary solutions for time-dependent problems in linearized kinetic theory'', Annals of Physics 30, 154 (1964). | DOI | MR

8 C. Cercignani, ``The Kramers problem for a not completely diffusing wall'', J. Math. Anal. Appl 10, 568 (1965). | DOI | MR

9 C. Cercignani, ``Plane Poiseuille flow according to the method of elementary solutions'', J. Math. Anal. Appl. 11, 93 (1965). | DOI | MR

10 C. Cercignani, ``Plane Couette flow according to the method of elementary solutions'', J. Math. Anal. Appl. 12, 254 (1965). | DOI | MR

11 C. Cercignani, ``Flows of rarefied gases supported by density and temperature gradients'', University of California Report N AS-64-18 (1964).

12 C. Cercignani, ``Higher order slip according to the linearized Boltzmann equation'', University of California Report N AS-64-18 (1964).

13 C. Cercignani, ``Elementary solutions of linearized kinetic models and boundary value problems in the kinetic theory of gases'', Brown University Report (1965).

14 C. Cercignani, ``Metodi di soluzione dell'equazione di Boltzmann nella dinamica dei gas rarefatti'', Atti del Convegno AIR/IBM, 237, IBM (1963).

15 S. Albertoni, C. Cercignani, L. Guerri and A. Taroni, ``Problemi fluidodinamici connessi con il calcolo di onde d'urto: aspetti generali e recenti esperienze numeriche'', Atti del Convegno AIR/IBM, 207, IBM (1963).

16 C. Cercignani and A. Daneri, ``Sul flusso piano alla Poiseuille ad alti numeri di Knudsen'', Atti del Convegno AIR/IBM, 189, IBM (1963).

17 C. Cercignani, ``Sugli integrali impropri nel senso di Hadamard e su alcuni operatori ad essi collegati'', Acc. Naz. Lincei, Rend. Cl. Sc. Fis, Mat. Nat., Serie VIII, 38, 39 (1965). | MR | Zbl

18 C. Cercignani and G. Tironi, ``Linearized Rayleigh's problem in magnetogasdynamics'', Phys. Fluids 9, 343 (1966). | Zbl

19 C. Cercignani and C. D. Pagani, ``Wall and collision effects in plasma capacitors'', Nuovo Cimento, X, 40. 140 (1965).

20 S. Albertoni and C. Cercignani, ``Sur un problème mixte dans la dynamique des fluides'' C.R. Acad. Sci. (Paris) 261, 312 (1965). | MR | Zbl

21 S. Albertoni and C. Cercignani, ``Metodi Matematici per Fisici'', Vol. 3, Quattri, Milano (1964).

22 C. Cercignani and F. Sernagiotto, ``Cylindrical Poiseuille flow of a rarefied gas'', Phys. Fluids 9, 40 (1966).

23 S. Albertoni, C. Cercignani, L. Guerri and A. Taroni, ``Numerical methods of calculation for implosion processes'', in ``Proceedings of the Conference on Megagauss Magnetic Fields Generation by Explosives and Related Experiments''. Euratom (1966).

24 C. Cercignani and C. D. Pagani, ``Variational approach to boundary-value problems in kinetic theory'', Phys. of Fluids 9, 1167 (1966).

25 P. Bassanini, C. Cercignani and F. Sernagiotto, ``Flow of a rarefied gas in a tube of annular section'', Phys. Fluids 9, 1174 (1966).

26 C. Cercignani and G. Tironi, ``Some applications of a linearized kinetic model with correct Prandtl number'', Nuovo Cimento, X, 43, 64 (1966). | Zbl

27 C. Cercignani, ``Alcune osservazioni sull'equazione del trasporto'' in ``Fisica del Reattore'', 633, CNR (1966).

28 S. Albertoni, C. Cercignani, R. Giovannelli and A. Tozzi, ``Alcuni aspetti tecnologici della generazione e delle applicazioni delle alte temperature'' in ``Fisica del Plasma'', 247, CNR (1966).

29 P. Bassanini, C. Cercignani and C.D. Pagani,``Comparison of kinetic theory analyses of heat transfer between parallel plates'', Int. J. Heat Mass Transfer 10, 47 (1967).

30 C. Cercignani, ``Linear Representation of spinors by tensors'', J. Math. Phys. 8, 417 (1967). | Zbl

31 C. Cercignani and F. Sernagiotto, ``Cylindrical Couette flow of a rarefied gas'', Phys. Fluids 10, 1200 (1967).

32 C. Cercignani, ``The method of elementary solutions for kinetic models with velocity-dependent collision frequency'', Annals of Physics 40, 469 (1967). | DOI | MR

33 C. Cercignani, ``Unsteady solutions of kinetic models with velocity-dependent collision frequency'', Annals of Physics 40, 454 (1967). | DOI | MR

34 C. Cercignani and F. Sernagiotto, ``Some results about a kinetic models with velocity-dependent collision frequency'', in ``Rarefied Gas Dynamics'', C. L. Brundin ed., Vol I, 381, Academic Press, New York (1967).

35 C. Cercignani and C. D. Pagani, ``Variational approach to rarefied flows in cylindrical and spherical geometry'', in ``Rarefied Gas Dynamics'' C. L. Brundin ed., Vol I, 555, Academic Press, New York (1967).

36 C. Cercignani and G. Tironi, ``Nonlinear heat transfer between two parallel plates according to a model with correct Prandtl number'', in ``Rarefied Gas Dynamics'' C. L. Brundin ed., Vol I, 441, Academic Press, New York (1967).

37 P. Bassanini, C. Cercignani and P. Schwendimann, ``The problem of a cylinder rotating in a rarefied gas'', in ``Rarefied Gas Dynamics'', C. L. Brundin ed., Vol I, 505, Academic Press, New York (1967).

38 P. Bassanini, C. Cercignani, F. Sernagiotto and G. Tironi, ``Scattering of waves by a medium with strong fluctuations of refractive index''. Radio Science 2, 1 (1967).

39 S. Albertoni and C. Cercignani, ``Metodi approssimati per la risoluzione dell'equazione di Boltzmann. Aspetti generali e loro applicazioni'', Suppl. al Nuovo Cimento, Serie I, 5, 890 (1967).

40 S. Albertoni, C. Cercignani, P. Stella and A. Taroni, ``Tecniche di simulazione e loro applicazioni a certi problemi di fluidodinamics'', Calcolo 3 (Suppl. 2, 89 (1966).

41 C. Cercignani and R. Tambi, ``Diffusion of a velocity discontinuity according to kinetic theory'', Meccanica 2, 25 (1967). | Zbl

42 C. Cercignani, ``Reply to the comments by A. S. Berman'', Phys. Fluids 10, 1859 (1967).

43 C. Cercignani, ``On Boltzmann equation with cutoff potentials'', Phys. Fluids 10, 2097 (1967).

44 C. Cercignani and C. D. Pagani, ``Tecniche variazionali nella dinamica dei gas rarefatti'' Atti del Congresso Nazionale AIDA-AIR 1965, 163 (AIDA-AIR, 1967).

45 P. Bassanini, C. Cercignani and F. Sernagiotto, ``Flussi di gas rarefatti in geometria cilindrica'', Atti del Congresso Nazionale AIDA-AIR 1965, 97 (AIDA-AIR, 1967).

46 C. Cercignani and G. Tironi, ``Alcune applicazioni di un nuovo modello linearizzato dell'equazione di Boltzmann'', Atti del Congresso Nazionale AIDA-AIR 1965, 174 (AIDA-AIR, 1967).

47 C. Cercignani, ``Existence and Uniqueness in the Large for boundary value problems in kinetic theory'', J. Math. Phys. 8, 1653 (1967). | MR | Zbl

48 C. Cercignani, ``Existence, Uniqueness and convergence of the solutions of models in kinetic theory'', J. Math. Phys. 9, 4 (1968). | Zbl

49 C. Cercignani, ``Stokes paradox in kinetic theory'', Phys. Fluids 11, 303 (1968). | Zbl

50 C. Cercignani and G. Tironi, ``New boundary conditions in the transition regime'', J. Plasma Phys. 2, 293 (1968).

51 C. Cercignani, P. Foresti and F. Sernagiotto, ``Dependence of the slip coefficient on the form of the collision frequency'', Nuovo Cimento, X, 57B, 297 (1968).

52 C. Cercignani, ``Metodi di soluzione dell'equazione di Boltzmann'' Suppl. Nuovo Cimento, I, 6, 780 (1968).

53 C. Cercignani, ``Mathematical Methods in Kinetic Theory'', Plenum Press, New York (1969). | MR | Zbl

54 C. Cercignani and C. D. Pagani, ``Rarefied flows in presence of fractionally accommodating walls'', in ``Rarefied Gas Dynamics'', L. Trilling and H. Y. Wachman eds., Vol I, 269, Academic Press, New York (1969).

55 C. Cercignani and G. Tironi, ``Some applications to the transition regime of a new set of boundary conditions for Navier-Stokes equations'', in ``Rarefied Gas Dynamics'', L. Trilling and H. Y. Wachman, Vol I, 281, Academic Press, New York (1969).

56 C. Cercignani, ``Boundary value problems in linearized kinetic theory'' in ``Transport Theory'', G. Birkhoff ed., SIAM-AMS Proceedings, I, 249, AMS, Providence (1969). | MR | Zbl

57 C. Cercignani and C. D. Pagani, ``Flow of a rarefied gas past an axi-symmetric body. I. General remarks'', Phys. Fluids 11, 1395 (1968). | Zbl

58 C. Cercignani, C. D. Pagani and P. Bassanini, ``Flow of a rarefied gas past an axisymmetric body. II. Case of a Sphere'', Phys. Fluids 11, 1399 (1968). | Zbl

59 P. Bassanini, C. Cercignani and C. D. Pagani, ``Influence of the accommmodation coefficient on the heat transfer in a rarefied gas'', Int. J. Heat Mass Transfer 11, 1359 (1968). | Zbl

60 C. Cercignani, ``The transition regime of rarefied gas dynamics: a survey of recent progress and present trends'' in ``Fluid Dynamic Transactions'', vol. 4, 471, Polish Academy of Sciences, Warsaw (1969).

61 C. Cercignani, ``A variational principle for boundary value problems in kinetic theory'', J. Stat. Phys. 1, 297 (1969). | Zbl

62 C. Cercignani, ``Sull'universalità del profilo d'onde d'urto deboli in gas ionizzati e miscele'', Acc. Naz. Lincei, Rend. Cl. Sc. Fis, Mat. Nat., Serie VIII, 47, 206 (1969).

63 C. Cercignani, ``Bifurcation problems in fluid mechanics'', Meccanica 5, 7 (1970). | DOI | MR | Zbl

64 C. Cercignani, ``Methods of solution of the linearized Boltzmann equation for rarefied gas dynamics'', J. Quant. Spectr. Rad. Transf. 11, 973 (1971). | MR

65 C. Cercignani, ``Sul più generale tensore doppio a divergenza nulla su una superficie comunque curva'', Rend. Ist. Lomb. Sci. Lett., Cl. Sc. (A), 105, 932 (1971). | MR

66 M. Greppi and C. Cercignani, ``Computer simulation of a viscous channel flow'', Meccanica 6, 125 (1971). | Zbl

67 C. Cercignani and M. Lampis, ``Kinetic models for gas-surface interactions'', Transp. Th. Stat. Phys. 1, 101 (1971). | DOI | MR | Zbl

68 C. Cercignani and M. Lampis, ``Influence of gas-surface interaction on drag and lift in free-molecular flow'', Entropie 44, 40 (1972). | MR

69 C. Cercignani and M. Lampis, ``Free molecular flow past a flat plate in the presence of a nontrivial gas-surface interaction'', J. Appl. Math. Phys. (ZAMP) 23, 715 (1972). | MR

70 C. Cercignani, ``Comments on «Stokes problems in kinetic theory»'', Phys. Fluids 15, 957 (1972).

71 C. Cercignani, L. Galgani and A. Scotti, ``Zero-point energy in classical non-linear mechanics'', Phys. Letters 38A, 403 (1972).

72 C. Cercignani, ``On the Boltzmann equation for rigid spheres'', Transp. Th. Stat. Phys. 2, 211 (1972). | DOI | MR | Zbl

73 C. Cercignani, ``Scattering kernels for gas-surface interactions'', in Hypersonic flows for reentry problems. V.1: Survey Lectures and Test Cases Analysis, p. 35-54, Springer, (1991).

74 C. Cercignani, ``Models of gas-surface interactions: comparison between theory and experiments'', in ``Rarefied Gas Dynamics'', D. Dini ed., Vol I, 75, Editrice Tecnico Scientifica, Pisa (1971). | MR

75 J. W. Cipolla and C. Cercignani, ``Effect of molecular model and boundary conditionson linearized heat transfer'', in ``Rarefied Gas Dynamics'', D. Dini ed., Vol II, 767, Editrice Tecnico Scientifica, Pisa (1971).

76 C. Cercignani, ``Mathematical methods for boundary value problems in kinetic theory'', in ``Rarefied Gas Dynamics'', K. Karamcheti ed., 55, Academic Press, New York (1974).

77 C. Cercignani and M. Lampis, ``Half space models for gas-surface interactions'', in ``Rarefied Gas Dynamics'', K. Karamcheti ed., 361, Academic Press, New York (1974).

78 C. Cercignani, ``On a Master equation in the space inhomogeneous case'', in ``Théorie Cinétique Classiques et Relativistes'', G. Pichon ed., Colloque C.N.R.S. n. 236, Paris (1975).

79 C. Cercignani, ``Problemi matematici connessi con l'equazione di Boltzmann'', Rend. Sem. Mat. Fis. Milano, 43, 35 (1974). | DOI | MR | Zbl

80 C. Cercignani, ``Theory and Application of the Boltzmann Equation'', Scottish Academic Press, Edinburgh (1975). | MR | Zbl

81 C. Cercignani, ``On the general solution of the steady linearized Boltzmann equation'', in ``Rarefied Gas Dynamics'', M. Becker and M. Fiebig eds., Vol. I, A.9-1, DFLVR Press, Porz-Wahn (1974).

82 C. Cercignani, ``Sull'integrale generale delle equazioni indefinite d'equilibrio per una membrana'', Atti 3° Congresso AIMETA, Cagliari (1976). | Zbl

83 C. Cercignani and M. Lampis, ``On the recovery factor in free-molecular flow'', J. Appl. Math. Phys. (ZAMP) 27, 733 (1976).

84 C. Cercignani, ``Knudsen layers; some problems and a solution technique'', in ``Rarefied Gas Dynamics'', J. L. Potter, ed., Part II, 795, AIAA, New York (1977).

85 C. Cercignani, ``Analytical solution of the temperature jump problem for the BGK model'', Transp. Th. Stat. Phys. 6, 29 (1977). | DOI | MR | Zbl

86 C. Cercignani, ``Solitons. Theory and application'', Riv. Nuovo Cim. 7, 429 (1977). | MR

87 C. Cercignani, ``Closed-form solutions for some two-group problems with an isotropic scattering'', Nucl. Sci. Eng. 64, 882 (1978).

88 C. Cercignani, ``Three lectures on the Boltzmann equation'', in ``Fundamental Problems in Statistical Mechanics'', E. G. F. Cohen and W. Fiszdon, ed., Ossolinskich Wydawnictwo, Warsaw (1978).

89 C. Cercignani, ``Knudsen layers; theory and experiment'', in ``Recent Developments in Theoretical and Experimental Fluid Mechanics'', U. Müller, K. G. Rösner and B. Schmidt, eds., Springer, Berlin (1979).

90 C. Cercignani, ``Transition regime and Boltzmann equation'', in ``Rarefied Gas Dynamics'', R. Campargue, ed., Vol. I, 141, CEA, Paris (1979).

91 C. Cercignani and I. Neudacin, ``Rarefied gas flow through long slots'', J. Appl. Math. Phys. (ZAMP) 30, 943 (1979). | Zbl

92 C. Cercignani, W. Greenberg and P. F. Zweifel, ``Global solution of the Boltzmann equation on a lattice'', J. Stat. Phys. 20, 449 (1979). | DOI | MR

93 C. Cercignani, ``Heat transfer in a Knudsen gas'', Physica 97A, 440 (1979).

94 C. Cercignani and M. Lampis, ``Wall induced polarization in plane Couette flow of a polyatomic gas in the Knudsen regime'', Physica 99A, 305 (1979).

95 C. Cercignani, ``Esistenza e unicità della funzione di distribuzione per un gas di Knudsen tra due lastre parallele'', Riv. Mat. Univ. Parma 5, 363 (1979). | MR | Zbl

96 C. Cercignani, ``A nonlinear criticality problem in the kinetic theory of gases'', in ``Mathematical Problems in the Kinetic Theory of Gases'', D. C. Pack and H. Neunzert, eds., 129, P. Lang, Frankfurt (1980). | MR | Zbl

97 M. D. Arthur and C. Cercignani, ``Nonexistence of a steady rarefied supersonic flow in a half-space'', J. Appl. Math. Phys. (ZAMP) 31, 634 (1980). | DOI | MR | Zbl

98 C. Cercignani and M. Lampis, ``Polarization of a polyatomic gas due to gas-surface interaction'', in ``Rarefied Gas Dynamics'', S. S. Fisher ed., Part I, 109, AIAA, New York (1981).

99 C. Cercignani, ``Strong evaporation of a polyatomic gas'', in ``Rarefied Gas Dynamics'', S. S. Fisher ed., Part I, 305, AIAA, New York (1981).

100 C. Cercignani, ``Methods of solution of the Boltzmann equation for rarefied gases'', in ``Rarefied Gas Flows. Theory and Experiment'', W. Fiszdon ed., 3, Springer, Wien (1981).

101 C. Cercignani and M. Lampis, ``On the H-theorem for polyatomic gases'', J. Stat. Phys. 26, 795 (1981). | DOI | MR

102 C. Cercignani and C. E. Siewert, ``On partial indices for a matrix Riemann-Hilbert problem'', J. Appl. Math. Phys. (ZAMP) 33, 297 (1981). | DOI | MR | Zbl

103 C. Cercignani, ``Polarization creep in polyatomic gas'', Physica 115A, 143 (1982).

104 C. Cercignani and V. Protopopescu, ``The spectral decomposition for a class of linear transport operators'', J. Stat. Phys. 29, 363 (1982). | DOI | MR | Zbl

105 C. Cercignani, L. Geppert and M. Lampis, ``Computation of the polarization creep tensor'', Physica 121A, 531 (1983). | MR

106 V. Battarra and C. Cercignani, ``One-dimensional unsteady flows of solid-liquid suspensions'', Meccanica 17, 67 (1982). | Zbl

107 K. Aoki and C. Cercignani, ``Evaporation and condensation on two parallel plates at finite Reynolds numbers'', Phys. Fluids 26, 1163 (1983). | MR

108 C. Cercignani, ``Speed of propagation of infinitesimal disturbances in a relativistic gas'', Phys. Rev. Lett. 50, 1122 (1983). | DOI | MR

109 C. Cercignani, ``The Grad limit for a system of soft spheres'', Comm. Pure Appl. Math. 36, 479 (1983). | DOI | MR | Zbl

110 C. Cercignani, ``H-theorem and trend to equilibrium in the kinetic theory of gases'', Arch. Mech. 34, 231 (1982). | MR | Zbl

111 C. Cercignani, ``Solution of the Boltzmann equation'', in ``Nonequilibrium phenomena I. The Boltzmann equation'', J. L. Lebowitz and E. W. Montroll, eds., North Holland, Amsterdam (1983). | MR

112 K. Aoki and C. Cercignani, ``A technique for time-dependent boundary value problems in the kinetic theory of gases. Part I. Basic analysis'', J. App. Math. Phys. (ZAMP) 35, 127 (1984). | DOI | MR | Zbl

113 K. Aoki and C. Cercignani, ``A technique for time-dependent boundary value problems in the kinetic theory of gases. Part II. application to sound propagation'', J. App. Math. Phys. (ZAMP) 35, 345 (1984). | DOI | MR | Zbl

114 C. Cercignani and A. Majorana, ``Propagation of infinitesimal disturbances in a gas according to a relativistic model'', Meccanica, 19, 175 (1984). | DOI | MR | Zbl

115 K. Aoki and C. Cercignani, ``On the matrix Riemann-Hilbert problem relevant to Rayleigh scattering'', J. App. Math. Phys. (ZAMP) 36, 61 (1985). | DOI | MR

116 C. Cercignani and M. Lampis, ``Variational approach to rarefied gas flows in an external force field with an application to the gas centrifuge'', in ``Rarefied Gas Dynamics'', H. Oguchi ed., Vol. I, 89, University of Tokyo Press, Tokyo (1984).

117 C. Cercignani, L. Galgani, E. Montaldi and M. Sirtori, ``Quantization à la Nernst for the plane rotator'', Lett. Nuovo Cimento 40, 235 (1984).

118 C. Cercignani, ``Boltzmann Equation and Rarefied Gas Dynamics'' in ``Recent Advances in the Aerospace Sciences'', C. Casci Ed., p. 75 Plenum Publishing Corporation New York (1986). | DOI | MR

119 C. Cercignani, ``Sur des critéres d'existence globale en théorie cinétique discrète'' C.R. Acad. Sc. Paris 301, Série I, no. 3, 89 (1985). | MR | Zbl

120 C. Cercignani, ``Collision Models in Classical and Relativistic Kinetic Theory'' Nuovo Cimento 87A, 96 (1985).

121 C. Cercignani and A. Majorana ``Analysis of thermal sound and shear waves according to a relativistic kinetic model'' Phys. Fluids 28, 1673 (1985). | DOI | MR | Zbl

122 C. Cercignani and A. Majorana ``Analysis of thermal and shear waves according to BGK kinetic model'', ZAMP 36, 699 (1985). | DOI | MR | Zbl

123 C. Cercignani, W. Fiszdon and A. Frezzotti ``The paradox of the inverted tempera- ture profiles between an evaporating and a condensing surface'', Phys. Fluids 28, 3237 (1985).

124 C. Cercignani and M. Lampis ``A new boundary phenomenon in kinetic theory'' in ``Rarefied Gas Dynamics'' Vol. I. p. 830, M. Belotserkovski, M. N. Kogan, S. S. Kutateladze and A. K. Rebrov eds., Plenum Press, New York (1985).

125 C. Cercignani ``Recenti sviluppi nella teoria cinetica relativistica'' in ``atti del VI Convegno Nazionale di Relatività Generale e Fisica della Gravitazione'' a cura di R. Fabbri e M. Modugno, p. 83, Pitagora Bologna (1986).

126 C. Cercignani, ``Mathematical Problems in the Kinetic Theory of Gases'' in ``Mathematical Models and Methods in Mechanics'' Banach Center Publications, Vol. 15, p. 97, PWN Polish Scientific Publishers, Warsaw (1985). | fulltext EuDML | MR | Zbl

127 C. Cercignani, ``Methods in the Kinetic Theory of Gases Relevant to Nuclear Dynamics'' in ``Phase Space Approach to Nuclear Dynamics'', M. Di Toro, W. Nrenberg, M. Rosina and S. Stringari Eds., p. 153, World Scientific Publishing Co., Singapore (1986).

128 C. Cercignani, ``Solutions of a Linearized Kinetic Model for an Ultrarelativistic Gas'', Jour. Stat. Phys. 42, 601-620(1986). | DOI | MR

129 C. Cercignani, ``Half-space problems in the Kinetic Theory of Gases'' in ``Trends in Applications of Pure Mathematics to Mechanics'', E. Krner and K. Kirchgssner Eds., Springer, Berlin (1986). | DOI | MR | Zbl

130 C. Cercignani, ``Kinetic Theory of a Dense Gas of Rough Spheres'' J. Non Equilib. Thermodyn. 11, 145 (1986). | Zbl

131 C. Cercignani, A. Frezzotti and M. Lampis ``High Mach Number Flow of a Rarefied Gas Past an Almost Speculaly Reflecting Plate'' Transp. Theory Stat. Phys. 15, 973 (1986). | Zbl

132 C. Cercignani and M. Lampis ``Kinetic Theory Analysis of the Scott Effect'' in ``Rarefied Gas Dynamics'', V. BOFFI and C. CERCIGNANI, Eds., Vol. I, p. 336, B.G. Teubner, Stuttgart (1986). | MR | Zbl

133 G. M. Kremer and C. Cercignani, ``Wave Propagation in a Rarefied Gas of Rough Spheres'' in ``Rarefied Gas Dynamics'', V. BOFFI and C. CERCIGNANI, Eds., Vol. I, p. 110, B.G. Teubner, Stuttgart (1986). | Zbl

134 C. Cercignani and M. Shinbrot, ``Global Existence for Some Discrete Velocity Models'', Comm. in PDE 12, 307-314 (1987). | DOI | MR | Zbl

135 C. Cercignani and A. Palczewski,``Existence and Uniqueness for Nonlinear Boundary Value Problem'', J. Stat. Phys. 46, 273 (1987). | DOI | MR | Zbl

136 C. Cercignani, ``Existence of Global Solutions for the Space Inhomogeneous Enskog Equation'', Transp. Theory Stat. Phys., 16, 213 (1987). | DOI | MR | Zbl

137 C. Cercignani, ``Global existence for a Model Boltzmann Equation'', J. Stat. Phys. 49, 1083 (1987). | DOI | MR | Zbl

138 C. Cercignani, R. Illner and M. Shinbrot, ``A Boundary Value Problem for Discrete Velocity Models'', Duke Math. J. 51, 889-900 (1987). | DOI | MR | Zbl

139 C. Cercignani, R. Illner and M. Shinbrot, ``A Boundary Value Problem for the Two Dimensional Broadwell Model'', Comm. Math. Phys. 114 687-698 (1988). | MR | Zbl

140 C. Cercignani and A. Majorana, ``Structure of shock waves in relativistic simple gases'', Phys. Fluids 31, 1064 (1988). | Zbl

141 C. Cercignani, M. Lampis, C. Sgarra, ``$L^{1}$ Stability near Equilibrium of the Solution of the Homogeneous Boltzmann Equation in the Case of Maxwellian Molecules'', Meccanica 23, 15 (1988). | DOI | MR | Zbl

142 C. Cercignani, ``Small Data Existence for the Enskog equation in $L^{1}$``, J. Stat. Phys. 51, 291 (1988). | DOI | MR | Zbl

143 C. Cercignani, `` Problemi di evoluzione e stazionari nella teoria cinetica dei gas'', Boll. U.M.I.(7) 21A, 319 (1988).

144 C. Cercignani, C. Sgarra and M. Lampis ``On the Relation between the Scattering Kernel and the Standard Formulation of the Boltzmann Equation'', Il Nuovo Cimento 101B, 523 (1988). | DOI | MR | Zbl

145 C. Cercignani, ``Nonlinear Problems in the Kinetic Theory of Gases'' in ``Trends in Applications of Mathematics to Mechanics'', J. F. Besseling and W. Eckhaus Eds., Springer, Berlin (1988). | MR

146 C. Cercignani and M. Lampis, ``On the Kinetic Theory of a Dense Gas of Rough Spheres'', J. Stat. Phys. 53, 655 (1988). | DOI | MR | Zbl

147 C. Cercignani, R. Illner, M. Pulvirenti and M. Shinbrot, ``On Nonlinear Stationary Half-Space Problems in Discrete Kinetic Theory'' J. Stat. Phys. 52, 885-896 (1988). | DOI | MR | Zbl

148 C. Cercignani, ``Existence of Homoenergetic Affine Flows for the Boltzmann Equation'', Arch. Rat. Mech. Anal. 105, 377 (1989). | DOI | MR | Zbl

149 C. Cercignani, ``Recent Results in The Kinetic Theory of Gases'' Rend. Sem. Mat. Univers. Politecn. Torino, Fascicolo Speciale ``Hyperbolic Equations'', 47 (1988). | MR | Zbl

150 C. Cercignani, ``Meccanica dei materiali granulari e teoria cinetica dei gas: una notevole analogia'', Atti Sem. Mat. Fis. Univ. Modena XXXVII, 481 (1989).

151 C. Cercignani, ``Discrete models in kinetic theory'' in ``Discrete Kinetic Theory Lattice Gas Dynamics and Foundations of Hydrodynamics'' edited by R. Monaco p.62, World Scientific, Singapore (1989). | MR

152 C. Cercignani, ``A singular inverse scattering approach to nondispersive hyperbolic systems'' in ``Nonlinear Wave Motion'' edited by A. Jeffrey, Longman Scientific and Technical, Harlow (1989). | MR | Zbl

153 C. Cercignani, ``Kinetic Theory with ``Bounce-Back'' Boundary Conditions'', Transp. Theory Stat. Phys. 18, 125 (1989). | DOI | MR | Zbl

154 C. Cercignani, ``Onde di piccola ampiezza in teoria cinetica classica e relativistica'' in Atti del III Meeting Waves and Stability in Continuous Media a cura di M. Maiellaro e L. Palese, Bari (1989).

155 L. Arkeryd and C. Cercignani, ``On the Convergence of Solutions of the Enskog Equation to Solutions of the Boltzmann Equation'' Comm. in PDE 14, 1071 (1989). | DOI | MR | Zbl

156 C. Cercignani and M. Lampis, ``Variational Calculation of the Slip Coefficient and the Temperature Jump for Arbitrary Gas Surface Interactions'' in ``Rarefied Gas Dynamics: Space Related Studies'', Edited by E.P. Muntz, D.P. Weaver and D. H. Campbell, p. 553 AIAA Washington (1989).

157 C. Cercignani and A. Frezzotti, ``Numerical Simulation of Supersonic Rarefied Gas Flows Past a Flat Plate: Effects of the Gas Surface Interaction Model on the Flowfield'' in ``Rarefied Gas Dynamics: Theoretical and Computational Techniques'', Edited by E.P. Muntz, D.P. Weaver and D. H. Campbell, p. 552 AIAA Washington (1989).

158 C. Cercignani, ``Are There More than Five Linearly-independent Collision Invariants for the Boltzmann Equation?'', J. Stat. Phys. 58, 817-824 (1990). | DOI | MR | Zbl

159 C. Cercignani, ``Equilibrium States and Trend to Equilibrium in a Gas According to the Boltzmann Equation'', Rendiconti di Matematica Serie VII 10, 77-95 (1990). | MR | Zbl

160 L. Arkeryd and C. Cercignani, ``Global Existence in L1 for the Enskog Equation and Convergence of the Solutions to Solutions of the Boltzmann Equation'', J. Stat. Phys. 59, 845-867 (1990). | DOI | MR | Zbl

161 L. Arkeryd and C. Cercignani, ``On a functional equation arising in the kinetic theory of gases'', Rend. Mat. Acc. Lincei s. 9, 11, 139-149 (1990). | fulltext bdim | fulltext EuDML | MR | Zbl

162 C. Cercignani, ``Physical problems and rigorous results in kinetic theory'' in ``Applied and Industrial Mathematics'' R. Spigler Ed., 314 Kluwer, Dordrecht (1991). | MR | Zbl

163 C. Cercignani, ``Case's method and linearized kinetic theory'' in ``Operator Theory: Advances and Applications'' Vol. 51, W. GREENBERG Ed., p. 719, Birkhuser Basel (1991). | DOI | MR | Zbl

164 C. Cercignani, ``Mathematics and the Boltzmann Equation'' in ``Rarefied Gas Dynamics'' Edited by A. E. Beylich, p. 3, VCH, Weinheim (1991). | Zbl

165 C. Cercignani and M. Lampis ``Variational Calculation of the Temperature Jump for a Binary Mixture'' in ``Rarefied Gas Dynamics'' Edited by A. E. Beylich, p. 1379-1384, VCH, Weinheim (1991).

166 C. Cercignani and C. Lancellotti ``Velocity Slip for Curved Shock Waves'' in ``Rarefied Gas Dynamics'' Edited by A. E. Beylich, p. 153-160, VCH, Weinheim (1991).

167 M. Cannone and C. Cercignani, ``The inverse conjecture for the revised Enskog equation'', J. Stat. Phys. 63, 363-387 (1991). | DOI | MR

168 C. Cercignani, ``Trend to Equilibrium in a Gas According to the Boltzmann Equation'' in ``Advances in Kinetic Theory and Continuum Mechanics'', R. Gatignol and Soubbaramayer Eds., Springer-Verlag Berlin-Heidelberg (1991). | DOI | MR

169 C. Cercignani, ``The trend to equilibrium in discrete and continuous kinetic theory: a comparison'' in ``Discrete Models of Fluid Dynamics'' A. S. Alves Ed. 12-21, World Scientific, Singapore (1991). | MR

170 C. Cercignani, ``Mathematical models in rarefied gas dynamics'' in Surveys on Mathematics for Industry 1, 119-143 (1991). | MR | Zbl

171 M. Cannone and C. Cercignani, ``A Trace Theorem in Kinetic Theory'', Appl. Math. Lett. 4, 63-67 (1991). | DOI | MR | Zbl

172 C. Cercignani, ``On the initial-boundary value problem for the Boltzmann equation'', Arch. Rat. Mech. Anal. 116, 30-7315 (1991). | DOI | MR

173 L. Arkeryd, C. Cercignani and R. Illner ``Measure Solutions of the Steady Boltzmann Equation in a Slab'', Commun. Math. Phys. 142, 285-296 (1991). | MR | Zbl

174 C. Cercignani, ``Problemi ai valori al contorno in teoria cinetica discreta'', Atti Acc. Peloritana 68 Suppl., 277-290 (1991).

175 C. Cercignani and C. Sgarra, ``Half-Range Completeness for the FokkerPlanck Equation with an External Force'', J. Stat. Phys. 66, 1575-1582 (1992). | DOI | MR | Zbl

176 C. Cercignani, ``L'impercettibile confine tra caso e necessità'' in ``Fluidodinamica Stocastica'', Atti della III Riunione del Gruppo AIMETA di ``Meccanica Stocastica'', 302- 314, CUEN, Napoli (1991).

177 C. Cercignani and F. Sharipov, ``Gaseous mixture slit flow at intermediate Knudsen Numbers'', Phys. Fluids A 4, 1283-1289 (1992). | Zbl

178 S. Stefanov and C. Cercignani, ``Monte Carlo Simulation of Benard's Instability in a Rarefied Gas'', Euro. J. of Mechanics B 11 543-553 (1992). | MR | Zbl

179 C. Cercignani, ``A remarkable inequality for the solutions of the Boltzmann equation'', Appl. Math. Lett. 5, 59-62 (1992). | DOI | MR | Zbl

180 C. Cercignani, ``Measure Solutions of the Steady Boltzmann Equation in a Slab'' in ``Probabilistic Methods in Mathematical Physics'' F. Guerra, M. I. Loffredo and C. Marchioro, Eds., 155-165, World Scientific, Singapore (1992). | MR

181 C. Cercignani, A. Frezzotti and B. Mignemi, ``Direct Simulation of Hypersonic Rarefied Flows Past a Delta Wing'', Transp. Th. Stat. Phys. 21, 343-356 (1992). | Zbl

182 C. Cercignani and S. Stefanov, ``Bénard's instability in Kinetic Theory'', Transp. Th. Stat. Phys. 21, 371-381 (1992). | Zbl

183 C. Cercignani, ``On a criterion for the existence of traces in kinetic theory'' in ``Nonsmooth Optimization Methods and Applications'' F. Giannessi ed., Gordon and Breach, Philadelphia (1992). | MR | Zbl

184 C. Cercignani, ``Une histoire de la Théorie cinetique des gaz'', La Vie des Sciences 9, 275-285 (1992). | MR

185 C. Cercignani, ``Dinamica dei gas rarefatti: concetti problemi e metodi di calcolo'', Atti Acc. Sci. Torino 127, Suppl. 1, 716 (1993).

186 C. Cercignani, A. Frezzotti and M. N. Kogan, ``On the absence of motion in certain nonequilibrium states of gases and vapors in free-molecular regime: general considerations and pipe flow'', Phys. Fluids 5, 2551-2556 (1993). | DOI | MR | Zbl

187 C. Cercignani, ``Exact solutions of the Boltzmann equation'', in ``Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics'', N. H. Ibragimov et al., eds., p. 125-126, Kluwer, Dordrecht (1993). | MR

188 C. Cercignani, ``Hyperbolic problems in kinetic theory'', in ``Nonlinear Hyperbolic Problems: Theoretical, Applied and Computational Aspects'', A. Donato and F. Oliveri, Eds. (1993). | MR | Zbl

189 S. Stefanov and C. Cercignani, ``Monte Carlo simulation of the Taylor-Couette flow of a rarefied gas'', J. Fluid Mech. 256, 199-213 (1993). | DOI | MR | Zbl

190 L. Arkeryd and C. Cercignani, ``A global existence theorem for the initial boundary value problem for the Boltzmann equation when the boundaries are not isothermal'', Arch. Rat. Mech. Anal. 125, 271-288 (1993). | DOI | MR | Zbl

191 C. Cercignani, ``On the thermodynamics of a discrete velocity gas'', Transp. Th. Stat. Phys. 23, 1-8 (1994). | DOI | MR | Zbl

192 C. Cercignani, ``Resolution of the paradoxes related to the Boltzmann equation in the light of recent mathematical developments'', in ``Proceedings of the International Symposium on Ludwig Boltzmann'', G. Battimelli, M. G. Ianniello and O. Kresten, eds., 203-213, Verlag der österreischen Akademie der Wissenschaften, Wien (1993). | MR

193 C. Cercignani, ``Turbulence and rarefied gas dynamics'', Acta Mechanica Suppl. 4, 39-46 (1994).

194 S. Stefanov and C. Cercignani, ``Monte Carlo Simulation of a channel flow of a rarefied gas'', Euro. J. of Mechanics B 13 93-114 (1994). | MR | Zbl

195 S. Stefanov and C. Cercignani, ``Taylor-Couette flow of a rarefied gas'', in ``Proceedings of the International Symposium on Aerospace and Fluid Science'', p. 490-500, Institute of Fluid Science, Tohoku University, Sendai (1994). | DOI | MR

196 C. Cercignani, ``Methods of the kinetic theory of gases relevant to the kinetic models for semiconductors'', in ``Semiconductors Part II'', W. M. Coughran, Jr., p. 109-121 et al., Springer, New York (1994). | Zbl

197 C. Cercignani and S. Cortese, ``Validation of a Monte Carlo Simulation of the Plane Couette Flow of a Rarefied Gas'', J. Stat. Phys. 75, 817-838 (1994). | Zbl

198 C. Cercignani, ``An explicitly solvable kinetic model for semiconductors'', J. Stat. Phys. 77, 1039-1048 (1994). | DOI | MR | Zbl

199 C. Cercignani, ``Mathematical problems in the gas-dynamics of high-altitude flight'', in Applied Mathematics in Aerospace Science and Engineering, 35-47, A. Miele and A. Salvetti, eds., Plenum Press, New York (1994). | MR | Zbl

200 C. Cercignani, ``Inverted temperature gradient in a vapor'', in Rarefied Gas Dynamics: Theory and Simulations, B. D. Shizgal and D. P. Weaver, eds., pp. 515-520, AIAA, Washington (1994).

201 C. Cercignani, M. Lampis and A. Lentati, ``Calculation of the slip coefficient for a mixture'', in Rarefied Gas Dynamics: Theory and Simulations, B. D. Shizgal and D. P. Weaver, eds., pp. 565-573, AIAA, Washington (1994).

202 C. Cercignani, A. Frezzotti and S. Sibilla, ``Hypersonic Rarefied Flows DSMC Analysis by a Simplified Chemical Model'', Meccanica, 30, 93-104 (1995).

203 C. Cercignani, ``Weak solutions of the Boltzmann equation and energy conservation'', Appl. Math. Lett. 8, 53-59 (1995). | DOI | MR | Zbl

204 C. Cercignani, M. Lampis and A. Lentati, ``Variational calculation of the temperature jump for a polyatomic gas'', in Rarefied Gas Dynamics 19, J. Harvey and G. Lord, eds., Vol. II, pp. 1023-1029, Oxford University Press, Oxford (1995). | MR

205 C. Cercignani and S. Stefanov, ``Vortices and turbulence in hyppersonic rarefied flows'', in Rarefied Gas Dynamics 19, J. Harvey and G. Lord, eds., Vol. II, pp. 1146-1153, Oxford University Press, Oxford (1995). | MR

206 C. Cercignani, M. Lampis and A. Lentati, ``On the drag and heat transfer coefficients in free-molecular flow'', in Rarefied Gas Dynamics 19, J. Harvey and G. Lord, eds., Vol. II, pp. 1190-1196, Oxford University Press, Oxford (1995).

207 C. Cercignani, ``Existence globale pour un modèle semi-continu de l'équation de Boltzmann'', C.R. Acad. Sci. (Paris), Série I, 321, 125-129 (1995). | MR | Zbl

208 C. Cercignani, ``Errata: Weak solutions of the Boltzmann equation and energy conservation'', Appl. Math. Lett. 8, 95-99 (1995). | DOI | MR | Zbl

209 C. Cercignani, A. Frezzotti and C. Sgarra, ``Comments on «Extension of the Mott-Smith method to denser gases» [Phys. Fluids A 4, 1856 (1992)]'', Phys. Fluids A 7, 1507- 1509 (1995).

210 M. N. Kogan and I. N. Bobrov, C. Cercignani and A. Frezzotti, ``Interaction of evaporating and condensing particles in the free-molecular regime'', Phys. Fluids 7, 1775-1781 (1995). | DOI | MR | Zbl

211 C. Cercignani, ``Recent developments in the mechanics of granular materials, in Fisica matematica e ingegneria del le strutture: rapporti e compatibilità, G. Ferrarese, ed., 119-132, Pitagora Editrice, Bologna (1995).

212 C. Cercignani, ``Aerodynamical Applications of the Boltzmann Equation'', La Rivista del Nuovo Cimento 18, 7, 1-40 (1995). | DOI | MR

213 C.Cercignani, M. Lampis and A. Lentati, ``A new scattering kernel in kinetic theory of gases'', Transp. Th. Stat. Phys. 24, 1319-1336 (1995). | DOI | MR | Zbl

214 A. Abbà, R. Bucci, C. Cercignani, L. Valdettaro, ``New variants to the dynamic subgrid model'', in Small scale structures in three-dimensional hydrodynamic and magnetohydrodynamic turbulence, Meneguzzi et al. eds., 231-237, LNP 462, Springer, Berlin (1995). | Zbl

215 C. Cercignani, ``On global existence theorems for the initial value problem for the Boltzmann equation'', in Asymptotic modelling in fluid mechanics, P. A. Boisetal. eds., 165-178, LNP 442, Springer, Berlin (1995). | DOI | MR | Zbl

216 C. Cercignani, ``Mathematical problems in rarefied gas dynamics'', in ICIAM 95, K. Kirchgässner et al. eds., 19-38, Akademie Verlag, Berlin (1996). | MR | Zbl

217 C. Cercignani and R. Illner, ``Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions'', Arch. Rational Mech. Anal. 134, 1-16 (1996). | DOI | MR | Zbl

218 C. Cercignani, ``Trend to equilibrium of global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions'', Jour. Stat. Phys. 84, 875-888 (1996). | DOI | MR | Zbl

219 A. Abbà, C. Cercignani, L. Valdettaro and P. Zanini, ``LES of thermal convectionand investigation in soft/hard turbulent regimes'', in Computational Fluid Dynamics, J. A. Désidéri et al. eds., 877-883, Wiley, Chichester (1996).

220 C. Cercignani, ``Initial-Boundary Value Problems for the Boltzmann equation'', Transp. Th. Stat. Phys. 25, 425-436 (1996). | DOI | MR | Zbl

221 C. Cercignani, ``Recent results on the Boltzmann equation'', Rend. Acc. Lincei, 7, 83-112 (1996). | fulltext bdim | fulltext EuDML | MR | Zbl

222 P. Biscari, C. Cercignani, ``Stress and heat flux in non-inertial reference frames'', Continuum Mech. Thermodyn. 9, 1-11 (1997). | DOI | MR | Zbl

223 C. Cercignani, ``The Boltzmann equation and high altitude aerodynamics'' in Boltzmann's legacy 150 years after his birth, 25-40, Atti dei Convegni Lincei 131, Accademia Nazionale dei Lincei, Roma (1997). | MR | Zbl

224 C. Cercignani, ``Instabilities of the solutions of the Boltzmann equation'', Rend. Circolo Mat. Palermo, serie II, 45, 101-110 (1996). | MR

225 C. Cercignani and M. Lampis, ``New scattering kernel for gas-surface interaction'', AIAA Journal, 35, 1000-1001 (1997). | Zbl

226 C. Toepffer and C. Cercignani, ``Analytical results for the Boltzmnann equation'', Contrib. Plasma Phys., 37, 279-291 (1997).

227 C. Cercignani, I. M. Gamba and C. D. Levermore, ``High field approximations to a Boltzmann-Poisson System and Boundary Conditions in a Semiconductor'', Appl. Math. Lett. 10, n. 4, 111-118 (1997). | DOI | MR | Zbl

228 C. Cercignani and M. Lampis, ``A new model for the differential cross-section of a polyatomic gas'', in Rarefied Gas Dynamics 19, Ching Shen, ed., pp. 731-736, Peking University Press, Beijing (1997).

229 C. Cercignani, ``Temperature, entropy and kinetic theory'', Jour. Stat. Phys. 87, 1097-1109 (1997). | DOI | MR | Zbl

230 A. Abbà, C. CERCIGNANI, L. VALDETTARO and P. ZANINI, ``LES of turbulent thermal convection'', in Direct and Large Simulation II, J.-P. Chollet, P.R. Voke and L. Kleiser, eds., 147-156, Kluwer Academic Publishers, Dordrecht (1997).

231 C. Cercignani, ``Existence and trend to equilibrium of weak solutions of the Boltzmann equation'', Nonlinear Analysis, 30, 3749-3761 (1997). | DOI | MR | Zbl

232 C. Cercignani, ``Recent developments in the theory of the Boltzmann equation'', in Recent Advances in Partial Differential Equations, Venice 1996, R. Spigler and S. Venakides, eds., Proceedings of Symposia in Applied Mathematics, Vol. 54, American Mathematical Society, Providence, R.I. (1998). | DOI | MR

233 C. Cercignani, R. Marra and R. Esposito, ``The Milne problem witha force term'', Transp. Th. Stat. Phys. 27, 1-34 (1998). | DOI | MR | Zbl

234 S. Stefanov and C. Cercignani, ``Monte Carlo Simulation of the propagation of a disturbance in the channel flow of a rarefied gas'', Computers Math. Applic. 35 41-53 (1998). | DOI | MR | Zbl

235 S. Stefanov, P. Gospodinov, C. Cercignani, ``Monte Carlo Simulation and Navier- Stokes Finite Difference Calculation of Unsteady-State Rarefied Gas Flows'', Phys. Fluids 10, pp. 289-300, 1998.

236 C. Cercignani, M. Lampis and J. Struckmeier, ``New models for the differential cross section of a polyatomic gas in the frame of the scattering kernel theory'', Mech. Res. Comm. 25, 231-236 (1998). | DOI | MR | Zbl

237 A. V. Bobylev and C. Cercignani, ``Discrete velocity models for mixtures'', Jour. Stat. Phys. 91, 327-342 (1998). | DOI | MR | Zbl

238 C. Cercignani, ``Measure solutions of the steady nonlinear Boltzmann equation in a slab'', Commun. Math. Phys. 197, 199-210 (1998). | DOI | MR | Zbl

239 C. Cercignani, I. Gamba, J.W. Jerome and C.-S. Shu. ``Applicability of the high field model: an analytic study via asymptotic parameters defining domain decomposition'', VLSI Design 8, 135-141 (1998). | DOI | MR

240 C. Cercignani, I. Gamba, J.W. Jerome and C.-S. Shu. ``Applicability of the high field model: an preliminary numerical study'', VLSI Design 8, 275-282 (1998). | DOI | MR

241 C. Cercignani, ``A first approach to solutions for the steady nonlinear Boltzmann equation'', Suppl. Rend. Circolo Mat. Palermo, serie II, 57, 121-131 (1998). | MR | Zbl

242 C. Cercignani and G.M. Kremer, ``On relativistic collision invariants'', Jour. Stat. Phys. 96, 439-445 (1999). | DOI | MR | Zbl

243 C. Cercignani, A. Frezzotti and P. Grosfils, ``The structure of an infinitely strong shock wave'', Phys. Fluids 11, 2757- 2764 (1999). | DOI | MR | Zbl

244 A. V. Bobylev and C. Cercignani, ``Discrete velocity models for mixtures'', in Rarefied Gas Dynamics, R. BRUN, R. CAMPARGUE, R. GATIGNOL and J.-C. LENGRANDE, eds., Vol. I, pp. 71-78, Cépaduès éditions, Toulouse (1999).

245 S. Stefanov, V. Roussinov, C. Cercignani, M.C. Giurin, J. Struckmeier, ``Ray-leigh- Bénard chaotic convection of a rarefied gas'', in Rarefied Gas Dynamics, R. Brun, R. Campargue, R. Gatignol, J.-C. Lengrande, eds., Vol. I, pp. 697-694, Cépaduès éditions, Toulouse (1999).

246 C. Cercignani, M. Lampis, J. Struckmeier, ``Homogeneous relaxation and shock wave structure for a polyatomic gas'', in Rarefied Gas Dynamics, R. Brun, R. Campargue, R. Gatignol, J.-C. Lengrande, eds., Vol. II, pp. 61-68, Cépaduès éditions, Toulouse (1999).

247 C. Cercignani, M. Lampis, ``A new model for the boundary conditions of the Boltzmann equation'', Mech. Res. Comm. 26, 451-456 (1999). | DOI | MR | Zbl

248 C. Cercignani, M.C. Giurin, ``Measure solutions for the steady linear Boltzmann equation in a slab'', Transport Theory Statist. Phys. 28 521-529 (1999). | DOI | MR | Zbl

249 A. V. Bobylev, C. Cercignani, ``On the rate of entropy production for the Boltzmann equation'', J. Statist. Phys. 94, 603-618 (1999). | DOI | MR | Zbl

250 A. V. Bobylev and C. Cercignani, ``Discrete velocity models without nonphysical invariants'', Jour. Stat. Phys. 97, 677-686 (1999). | DOI | MR | Zbl

251 C. Cercignani and G.M. Kremer, ``Trend to equilibrium of a degenerate relativistic gas'', Jour. Stat. Phys. 98, 441-456 (2000). | DOI | MR | Zbl

252 C. Cercignani, ``Il secondo principio della termodinamica e la meccanica statistica'', Riv. Mat. Univ. Parma, 2*, 117-122 (1999). | MR

253 C. Cercignani and H. Cornille, ``Shock waves for a discrete velocity mixture'', Jour. Stat. Phys. 99, 115-140 (2000). | DOI | MR | Zbl

254 C. Cercignani, ``Propagation phenomena in classical and relativistic rarefied gases'', Transport Theory Statist. Phys. 29 607-614 (2000). | DOI | MR | Zbl

255 C. Cercignani, I. Gamba, J. W. Jerome and C.-S. Shu, ``A domain decomposition method for silicon devices'', Transport Theory Statist. Phys. 29 525-536 (2000). | Zbl

256 C. Cercignani, M. Lampis and J. Struckmeier, ``Applications of a new model for the differential cross section of a classical polyatomic gas'', Transport Theory Statist. Phys. 29, 355-374 (2000). | Zbl

257 H. Cornille and C. Cercignani, ``A class of planar discrete velocity models for gas mixtures'', Jour. Stat. Phys. 99, 967-991 (2000). | DOI | MR | Zbl

258 S. Takata, K. Aoki, C. Cercignani, ``The velocity distribution function in an infinitely strongshockwave'', Phys. Fluids 12, 2116-2127 (2000). | DOI | MR | Zbl

259 P. Biscari, C. Cercignani, M. Slemrod, ``Time-derivatives and frame-invariance beyond Newtonian fluids'', C.R. Acad. Sci. (Paris), IIb (Mcanique), 1-6, 328, (2000). | Zbl

260 C. Cercignani and R. Illner, ``Discrete velocity models with general boundary conditions in a slab'', Math. Meth. Appl. Sci. 24, 137-141 (2001). | DOI | MR | Zbl

261 C. Cercignani and G.M. Kremer, ``Moment closure of the relativistic Anderson and Witting model equation'', Physica A 290, 192-202 (2001). | DOI | MR | Zbl

262 C. Cercignani, ``Shear flow of a granular material'', Jour. Stat. Phys. 102, 1407-1415 (2001). | DOI | MR | Zbl

263 J. A. Carrillo, C. Cercignani and I. M. Gamba, ``Steady states of a Boltzmann equation for driven granular media'', Phys. Rev. E. 62, part A, 7700-7707 (2000). | DOI | MR

264 C. Cercignani and G.M. Kremer, ``Dispersion and absorption of plane harmonic waves in a relativistic gas'', Continuum Mech. Thermodyn. 71, 171-182 (2001). | DOI | MR | Zbl

265 C. Cercignani and H. Cornille, ``Large Size Planar Discrete Velocity Models for Gas Mixtures'', Jour. Phys. A (Math. Gen.), 34, 2985-2998 (2001). | DOI | MR | Zbl

266 H. Cornille and C. Cercignani, ``A class of planar discrete velocity models for gas mixtures'' in Proceedings ``WASCOM 99'' 10th Conference on Waves and Stability in Continuous Media V. Ciancio, A. Donato, F. Oliveri, S. Rionero, eds. World Scientific, Singapore (2001). | MR | Zbl

267 C. Cercignani, R. Illner, C. Stoica, ``On Diffusive Equilibria in Generalized Kinetic Theory'', Jour. Stat. Phys. 105, 337-352 (2001). | DOI | MR | Zbl

268 S. Takata, K. Aoki, C. Cercignani, ``The velocity distribution function in an infinitely strong shock wave''. RGD22, 2116-2127 (2000). | DOI | MR | Zbl

269 A. V. Bobylev and C. Cercignani, ``Moment equations for a granular material in a thermal bath'', Jour. Stat. Phys. 106, 547-567 (2002). | DOI | MR | Zbl

270 A. V. Bobylev and C. Cercignani, ``Exact eternal solutions of the Boltzmann equation'', Jour. Stat. Phys. 106, 1019-1038 (2002). | DOI | MR | Zbl

271 A. V. Bobylev and C. Cercignani, ``Self-similar solutions of the Boltzmann equation and their applications'', Jour. Stat. Phys. 106, 1039-1071 (2002). | DOI | MR | Zbl

272 A. V. Bobylev and C. Cercignani, ``Self-similar solutions of the Boltzmann equation for non-Maxwell molecules'', Jour. Stat. Phys. 108, 713-718 (2002). | DOI | MR | Zbl

273 C. Cercignani, ``Il secondo principio della termodinamica e la meccanica statistica'', Nuovi progressi nella fisica matematica dall'eredità di Dario Graffi, Atti dei convegni lincei, 177, 27-32 (2002). | MR

274 S. Stefanov, V. Roussinov and C. Cercignani, ``Rayleigh-Benard Flow of a Rarified Gas and its Attractors. Part 1: Convection regime'', Phys. Fl. 14, 2255-2269 (2002). | DOI | MR | Zbl

275 S. Stefanov, V. Roussinov and C. Cercignani, ``Rayleigh-Benard Flow of a Rarified Gas and its Attractors. Part 2: Chaotic and periodic convective regimes'', Phys. Fl. 14, 2270-2288 (2002). | DOI | MR | Zbl

276 A. V. Bobylev and C. Cercignani, ``The Inverse Laplace Transform of Some Analytic Functions with an Application to the Eternal Solutions of the Boltzmann Equation,'' Appl. Math. Lett. 15, 807-813 (2002). | DOI | MR | Zbl

277 C. Cercignani, ``The Boltzmann equation approach to the shear flow of a granular material'' (Discrete modelling and simulation of fluid dynamics, Corse, 2001), R. Soc. Lond. Philos. Trans. Ser. A, Math. Phys. Eng. Sci. 360, no. 1792, 407-414. (2002). | DOI | MR | Zbl

278 A. V. Bobylev and C. Cercignani, ``Self-Similar Asymptotics for the Boltzmann Equation with Inelastic and Elastic Interactions'', Journal of Statistical Physics 110, 333-375 (2003). | DOI | MR | Zbl

279 A. V. Bobylev, C. Cercignani, G. Toscani, ``Proof of an asymptotic property of self-similar solutions of the Boltzmann for granular materials'', Journal of Statistical Physics 111, 403-416 (2003). | DOI | MR | Zbl

280 C. Cercignani, ``Recent results in the kinetic theory of granular materials'', in ``Perspectives and problems in nonlinear science'', E. Kaplan, J. E. Marsden, K. R. Sreenivasan, eds., 217-228, Springer, New York (2003). | MR | Zbl

281 C. Cercignani, ``Discrete velocity models for gas mixtures'' in ``Lecture notes on the discretization of the Boltzmann equation'', N. Bellomo and R. Gatignol, eds., 17-28, World Scientific, Singapore (2003). | DOI | MR

282 C. Cercignani, M. Lampis, S. Lorenzani, ``Variational Approach to Plane Poiseuille Flow with General Boundary Conditions'', in ``Rarefied Gas Dynamics'', 23rd Int. Symp., A.D. Ketsdever and E.P. Muntz Eds., AIP Conf. Proc. 663, pp. 141-148, New York (2003). | Zbl

283 A. V. Bobylev and C. Cercignani, ``Eternal Solutions of the Boltzmann Equation'', in ``Rarefied Gas Dynamics'', A.D. Ketsdever and E.P. Muntz Eds., AIP Conf. Proc. 663, pp. 19-26, New York (2003). | DOI | MR | Zbl

284 S. Stefanov, V. Roussinov and C. Cercignani, ``The Attractors of the Rayleigh-Benard Flow of a Rarefied Gas'', in ``Rarefied Gas Dynamics'', 23rd Int. Symp., A.D. Ketsdever and E.P. Muntz Eds., AIP Conf. Proc. 663, pp. 194-201, New York (2003). | DOI | MR | Zbl

285 C. Cercignani, ``Ivan KuÏÏscer and gas-surface interaction'', Transport Theory Statist. Phys. 32, 215-226 (2003). | DOI | MR | Zbl

286 A. V. Bobylev and C. Cercignani, ``Self-Similar Asymptotics for the Boltzmann Equation with Inelastic Interactions'', in ``Granular Gas Dynamics'', 119-130, T. Pöschel, N. Brilliantov eds., LNP624, Springer (Berlin, 2003).

287 A. Abbà, L. Valdettaro and C. Cercignani, ``Analysis of Subgrid Scale Models'', Computers and Mathematics with applications, vol. 46, n. 4, 521-536 (2003). | DOI | MR | Zbl

288 C. Cercignani, M. Lampis and S. Lorenzani, ``Variational approach to gas flows in microchannels'', Phys. Fl., 14, 3426-3437 (2004). | DOI | MR | Zbl

289 C. Cercignani, M. Lampis, S. Lorenzani, ``Plane Poiseuille Flow with Symmetric and Nonsymmetric Gas-Wall Interactions'', Transport Theory Statist. Phys. 33, 545-562 (2004). | DOI | MR | Zbl

290 C. Cercignani, M. Lampis, S. Lorenzani, ``Plane Poiseuille flow with general boundary conditions: Numerical and variational approach'', Transport Theory and Statistical Physics, Vol. 33, N. 5-7, pp. 545-562 (2004). | DOI | MR | Zbl

291 C. Cercignani, ``Global Weak Solution of the Boltzmann Equation'', Journal of Statistical Physics 118, 333-342 (2005). | DOI | MR | Zbl

292 C. Cercignani, ``From Nice 1958 to Bari 2004: 46 years of RGD Symposia'', in ``Rarefied Gas Dynamics'', 24th Int. Symp., M. Capitelli Ed., AIP Conf. Proc. 762, pp. 3-7, New York (2005).

293 S. Stefanov, V. Roussinov and C. Cercignani, ``Three-Dimensional Rayleigh-Benard Convection of a Rarefied Gas: DSMC and Navier-Stokes Calculations'', in ``Rarefied Gas Dynamics'', 24th Int. Symp., M. Capitelli Ed., AIP Conf. Proc. 762, pp. 529-534, New York (2005).

294 C. Cercignani, M. Lampis, S. Lorenzani, ``Flow of a Rarefied Gas between Parallel and Almost Parallel Plates'', in ``Rarefied Gas Dynamics'', 24th Int. Symp., M. Capitelli Ed., AIP Conf. Proc. 762, pp. 719-724, New York (2005).

295 C. Cercignani, ``Onsager relations'', in ``Handbook of Condensed Matter'', Elsevier (2005).

296 C. Cercignani, ``Stochastic processes in physics and chemistry'', in ``Handbook of Condensed Matter'', Elsevier (2005).

297 C. Cercignani, ``Weak Solutions of the Boltzmann equation without angle cutoff'', Journal of Statistical Physics 123, 753-762 (2006). | DOI | MR | Zbl

298 C. Cercignani, ``Existence and energy conservation for the Boltzmann Equation'', in Proceedings ``WASCOM 2005'' 13th Conference on Waves and Stability in Continuous Media, 101-109, R. Monaco, G. Mulone, S. Rionero, T. Ruggeri, eds., World Scientific, Singapore (2006). | DOI | MR | Zbl

299 C. Cercignani, ``Boltzmanns Vermächtnis'', Physik Journal 5, 47-51 (2006).

300 C. Cercignani, M. Lampis, S. Lorenzani, ``Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects'', Physics of Fluids, 18, pp. 087102-087102 (2006). | DOI | MR | Zbl

301 C. Cercignani, ``Ludwig Boltzmann: atomic genius'', Physics World, 19, pp.34-38 (2006). | MR

302 C. Cercignani, ``Existence Theory for the Boltzmann equation'', Rendiconti Accademia Nazionale delle Scienze detta dei XL, XXIX, 111-122 (2005). | MR

303 C. Cercignani, ``Rigorous Results for Conservation Equations and Trend to Equilibrium in Space-Inhomogeneous Kinetic Theory'', in ``Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems'', C. CERCIGNANI and E. GABETTA, eds., 3-17, Birkhäuser, Boston, (2006). | DOI | MR

304 C. Cercignani, ``Estimating the Solutions of the Boltzmann equation'', Journal of Statistical Physics 124, 1491-1497 (2006). | DOI | MR | Zbl

305 C. Cercignani, A. Frangi, S. Lorenzani, B. Vigna, ``BEM approaches and simplified kinetic models for the analysis of damping in deformable MEMS'', Engineering Analysis with Boundary Elements, 31, pp.451-457 (2007). | Zbl

306 C. Cercignani, ``The Boltzmann equation: mathematics and applications'', Bollettino U.M.I., 10B, 293-315 (2007). | fulltext bdim | fulltext EuDML | MR | Zbl

307 C. Cercignani, ``Microscopic Foundations of the Mechanics of Gases and Granular Materials'', 63-79, in ``Material Substructures in Complex Bodies'', Elsevier, G. Capriz and P.M. Mariano, eds. (2007).

308 C. Cercignani, M. Lampis, S. Lorenzani, ``On the Reynolds equation for linearized models of the Boltzmann operator'', Transport Theory Statist. Phys. 36, 257-280 (2007). | DOI | MR | Zbl

309 C. Cercignani, A. Frezzotti, L. Gibelli, S. Lorenzani, A. Frangi, ``Kinetic approach to gas flows in microchannels'', Nanoscale and Microscale Thermo-Physical Engineering, 211-226, 11, (2007).

310 C. Cercignani, M. Lampis, S. Lorenzani, ``Mathematical Models and Methods in Micro-Nano Technologies'', in ``Applied and industrial mathematics in Italy II'', 247-258, World Scientific, Singapore, V. Cutello, G. Fotia, L. Puccio, eds., 8th SIMAI Conference (2007). | DOI | MR

311 S. Stefanov, V. Roussinov and C. Cercignani, ``Rayleigh-Bnard flow of a rarefied gas and its attractors. III. Three-dimensional computer simulations'', Phys. Fluids 19, 124101 (2007) (13 pages). | DOI | MR | Zbl

312 C. Cercignani, M. Lampis and S. Lorenzani, ``Generalized Reynolds Equation based on the Ellipsoidal Statistical Model'', in ``Rarefied Gas Dynamics'', 1093-1098, Publishing House of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, M.S. Ivanov, A. K. Rebrov, eds. (2007).

313 C. Cercignani, ``La fisica e la matematica di Eugenio Beltrami'', in ``Un grande matematico dell'Ottocento. Omaggio a Eugenio Beltrami'', LED, Milano (2007). | MR

314 C. Cercignani, ``Kinetic approach to the study of MEMS'', Bull. Inst. Math., Academia Sinica, 3, 99-114, 11, (2008). | MR | Zbl

315 C. Cercignani, A. Frezzotti, S. Lorenzani, ``Using the Kinetic Equations for MEMS and NEMS'', in ``Advances in Multiphysics Simulation and Experimental Testing of MEMS'', 37-80, Imperial College Press, London, A. FRANGI et al., eds. (2008).

316 A.V. Bobylev, C. Cercignani, I.M. Gamba, ``Generalized Kinetic Maxwell Type Models of Granular Gases'', in ``Mathematical Models of Granular Gases'', 23-58, Elsevier, G. Capriz, P. Giovine and P. M. Mariano, eds., Lecture Notes in Mathematics 1937 (2008). | DOI | MR | Zbl

317 C. Cercignani, ``134 years of Boltzmann equation'', in ``Boltzmann's Legacy'', 107-127, G. Gallavotti, W.L. Reiter, J. Yngvason, eds., European Mathematical Society (2008). | DOI | MR | Zbl

318 C. Cercignani, ``The Boltzmann equation in the 20th century'', Discrete and Continuous Dynamical Systems, 24, 83-94 (2009). | DOI | MR | Zbl

319 A. V. Bobylev, C. Cercignani and I. M. Gamba, ``On the Self-Similar Asymptotics for Generalized Nonlinear Kinetic Maxwell Models'', Communications in Mathematical Physics, 291 599-644 (2009). | DOI | MR | Zbl

320 C. Cercignani, S. Lorenzani, ``Variational derivation of the second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules'', Phys. Fluids, 22: 062004-062004-8, 2010, pubblicato postumo. | Zbl