Problemi parabolici a frontiera libera
Bollettino della Unione matematica italiana, Série 8, 3B (2000) no. 1, pp. 11-29.

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

@article{BUMI_2000_8_3B_1_a1,
     author = {Lunardi, Alessandra},
     title = {Problemi parabolici a frontiera libera},
     journal = {Bollettino della Unione matematica italiana},
     pages = {11--29},
     publisher = {mathdoc},
     volume = {Ser. 8, 3B},
     number = {1},
     year = {2000},
     zbl = {0954.35156},
     mrnumber = {1195918},
     language = {it},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2000_8_3B_1_a1/}
}
TY  - JOUR
AU  - Lunardi, Alessandra
TI  - Problemi parabolici a frontiera libera
JO  - Bollettino della Unione matematica italiana
PY  - 2000
SP  - 11
EP  - 29
VL  - 3B
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2000_8_3B_1_a1/
LA  - it
ID  - BUMI_2000_8_3B_1_a1
ER  - 
%0 Journal Article
%A Lunardi, Alessandra
%T Problemi parabolici a frontiera libera
%J Bollettino della Unione matematica italiana
%D 2000
%P 11-29
%V 3B
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2000_8_3B_1_a1/
%G it
%F BUMI_2000_8_3B_1_a1
Lunardi, Alessandra. Problemi parabolici a frontiera libera. Bollettino della Unione matematica italiana, Série 8, 3B (2000) no. 1, pp. 11-29. http://geodesic.mathdoc.fr/item/BUMI_2000_8_3B_1_a1/

[1] F. Alabau, A. Lunardi, Behavior near the travelling wave solution of a free boundary system in Combustion Theory, Dynamic Systems and Applications, 1 (1992), 391-418. | MR | Zbl

[2] H. Amann, Linear and Quasilinear Parabolic Problems, Vol. 1, Birkhäuser Verlag (1995). | MR | Zbl

[3] O. Baconneau, Tesi di Dottorato, Université Bordeaux 1 (1997).

[4] C. M. Brauner-J. Hulshof-A. Lunardi, A general approach to stability in free boundary problems, preprint University of Leiden (1998). In corso di stampa su J. Diff. Eqns. | Zbl

[5] C.M. Brauner, A. LUNARDI, Bifurcation of non planar travelling waves in a free boundary problem, Preprint Mathématiques Appliquées de Bordeaux 97022 (1997). In corso di stampa su Nonlinear Analysis T.M.A. | Zbl

[6] C. M. Brauner-A. Lunardi, Instabilities in a combustion model with free boundary in $\mathbb{R}^{2}$, In corso di stampa su Arch. Rat. Mech. Anal. | Zbl

[7] C.-M. Brauner-A. Lunardi, Cl. Schmidt-Lainé, Stability of travelling waves with interface conditions, Nonlinear Analysis T.M.A., 19 (1992), 465-484. | MR | Zbl

[8] C.-M. Brauner-A. Lunardi, Cl. Schmidt-Lainé, Multidimensional stability analysis of planar travelling waves, Appl. Math. Letters, 7 (1994), 1-4. | MR | Zbl

[9] C.-M. Brauner-A. Lunardi, Cl. Schmidt-Lainé, Stability of travelling waves in a multidimensional free boundary problem, Preprints di Matematica, Sc. Norm. Sup. Pisa (1996). In corso di stampa su Nonlinear Analysis T.M.A. | MR | Zbl

[10] C. M. Brauner-S. Noor Ebad-Cl. Schmidt-Lainé, Nonlinear stability analysis of singular travelling waves in combustion-a one-phase problem, Nonlinear Analysis, 16 (1991), 881-892. | MR | Zbl

[11] J.D. Buckmaster-G. S. S. Ludford, Theory of laminar flames, Cambridge University Press, Cambridge (1982). | MR | Zbl

[12] J. D. Buckmaster-G. S. S. Ludford, Lectures on mathematical combustion, CBMS-NSF Conference Series in Applied Mathematics, SIAM (1983). | MR | Zbl

[13] L. A. Caffarelli-J. L. Vazquez, A free boundary problem for the heat equation arising in flame propagation, Trans. Amer. Math. Soc., 347 (1995), 411-441. | MR | Zbl

[14] M. Crandall-I. Ishii-P.-L. Lions, A user's guide to viscosity solutions of nonlinear PDE's, Bull. Amer. Math. Soc., 27 (1992), 1-67. | fulltext mini-dml | MR | Zbl

[15] S. Crank, Free and Moving Boundary Problems, The Clarendon Press, Oxford Univ. Press, New York (1987). | MR | Zbl

[16] G. Da Prato-P. Grisvard, Equations d'évolution abstraites non linéaires de type parabolique, Ann. Mat. Pura Appl. (IV) 120 (1979), 329-396. | MR | Zbl

[17] A. Fasano, M. Primicerio, General free boundary problems for the heat equation, Part I: J. Math. Anal. Appl., 57 (1977), 694-723; Part II: J. Math. Anal. Appl., 58 (1977), 202-231; Part III: J. Math. Anal. Appl., 57 (1977), 1-14. | Zbl

[18] A. Van Harten-B. J. Matkowski, A new model in flame theory, SIAM J. Appl. Math., 42 (1982), 850-867. | MR | Zbl

[19] D. Henry, Geometric theory of parabolic equations, Lect. Notes in Math., 840, Springer, Berlin (1980). | Zbl

[20] Y. Kortsarts-I. Brailovsky-S. Gutman-G. I. Sivashinsky, On the stability of stretched flames, Combust. Theory Modelling, 1 (1997), 143-156. | MR | Zbl

[21] N. Krylov, Nonlinear Elliptic and Parabolic Equations of the Second Order, Nauka, Moscow (1985). Traduzione in inglese: D. Reidel Publishing Co., «Mathematics and Its Applications», Dordrecht (1987). | MR | Zbl

[22] A. Lunardi, Analytic semigroups and optimal regularity in parabolic problems, Birkhäuser, Basel (1995). | MR | Zbl

[23] A. Lunardi-E. Sinestrari-W. Von Wahl, A semigroup approach to the time-dependent parabolic initial boundary value problem, Diff. Int. Eqns., 5 (1992), 1275-1306. | MR | Zbl

[24] G. I. Sivashinsky, Nonlinear analysis of hydrodynamics instability in laminar flames - I. Derivation of basic equations, Acta Astronautica, 4 (1977), 1177-1206. | MR | Zbl

[25] G. I. Sivashinsky, On flame propagation under conditions of stoichiometry, SIAM J. Appl. Math., 39 (1980), 67-82. | MR | Zbl

[26] V. A. Solonnikov, On the boundary value problems for linear parabolic systems of differential equations of general form, Proc. Steklov Inst. Math., 83 (1965). English transl.: Boundary Value Problems of Mathematical Physics III, O.A. Ladyzhenskaja Ed., AMS (1965). | MR | Zbl

[27] H. B. Stewart, Generation of analytic semigroups by strongly elliptic operators under general boundary conditions, Trans. Amer. Math. Soc., 259 (1980), 299-310. | MR | Zbl

[28] D. S. Stewart-G. S. S. Ludford, The acceleration of fast deflagration waves, Z.A.M.M., 63 (1983), 291-302. | Zbl