Geodesic
On evolution inequalities of a modified Navier-Stokes type. III
Applications of Mathematics, Tome 24 (1979) no. 2, pp. 81-92
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

This is the last from a series of three papers dealing with variational equations of Navier-Stokes type. It is shown that the theoretical results from the preceding parts (existence and regularity of solutions) can be applied to the problem of motion of a fluid through a tube.
This is the last from a series of three papers dealing with variational equations of Navier-Stokes type. It is shown that the theoretical results from the preceding parts (existence and regularity of solutions) can be applied to the problem of motion of a fluid through a tube.
DOI : 10.21136/AM.1979.103785
Classification : 35A05, 35K22, 35Q10, 35Q30, 76D05
Keywords: evolution inequalities of a modified Navier-Stokes type; motion of a fluid through a tube; boundary conditions; existence; uniqueness; regularity 
@article{10_21136_AM_1979_103785,
     author = {M\"uller, Manfred and Naumann, Joachim},
     title = {On evolution inequalities of a modified {Navier-Stokes} type. {III}},
     journal = {Applications of Mathematics},
     pages = {81--92},
     year = {1979},
     volume = {24},
     number = {2},
     doi = {10.21136/AM.1979.103785},
     mrnumber = {0523225},
     zbl = {0452.35101},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103785/}
}
TY  - JOUR
AU  - Müller, Manfred
AU  - Naumann, Joachim
TI  - On evolution inequalities of a modified Navier-Stokes type. III
JO  - Applications of Mathematics
PY  - 1979
SP  - 81
EP  - 92
VL  - 24
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103785/
DO  - 10.21136/AM.1979.103785
LA  - en
ID  - 10_21136_AM_1979_103785
ER  - 
%0 Journal Article
%A Müller, Manfred
%A Naumann, Joachim
%T On evolution inequalities of a modified Navier-Stokes type. III
%J Applications of Mathematics
%D 1979
%P 81-92
%V 24
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103785/
%R 10.21136/AM.1979.103785
%G en
%F 10_21136_AM_1979_103785
Müller, Manfred; Naumann, Joachim. On evolution inequalities of a modified Navier-Stokes type. III. Applications of Mathematics, Tome 24 (1979) no. 2, pp. 81-92. doi: 10.21136/AM.1979.103785

[1] Golovkin K. K.: New model equations of the motion of a viscous fluid and their unique solvability. (Russian). Trudy Mat. Inst. Akad. Nauk SSSR, СII (1967), 29-50. | MR

[2] Kaniel S.: On the initial value problem for an incompressible fluid with nonlinear viscosity. J. Math. Mech., 19 (1970), 681-707. | MR | Zbl

[3] Ladyshenskaja O. A.: On new equations for describing the motion of viscous, incompressible fluids and the global solvability of their boundary value problems. (Russian). Trudy Mat. Inst. Akad. Nauk SSSR, CII (1967), 85 - 104.

[4] Ladyshenskaja O. A.: On modifications of the Navier-Stokes equations with big gradient of velocity. (Russian). Zap. Nauch. Sem. Leningr. Ot. Mat. Inst., 7 (1968), 126-154. | MR

[5] Ladyshenskaja O. A.: Mathematical problems in the dynamics of viscous, incompressible fluids. (Russian). 2nd edition, Moscow 1970.

[6] Lions J. L.: Quelques méthodes de résolution des problèmes aux limites non linéaires. Paris 1969. | MR | Zbl

[7] Müller M., Naumann J.: On evolution inequalities of a modified Navier-Stokes type, I. Apl. Mat. 23 (1978), 208 - 230. | MR

[8] Müller M., Naumann J.: On evolution inequalities of a modified Navier-Stokes type, II. Apl. Mat. 23 (1978), 397-407, | MR

[9] Nečas J.: Les méthodes directes en théorie des équations elliptiques. Prague 1967. | MR

[10] Prouse G.: On a unilateral problem for the Navier-Stokes equations. Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat., (8) 52 (1972); Nota I: 337-342; Nota II: 467-478. | MR | Zbl

[11] Temam R.: On the theory and numerical analysis of the Navier-Stokes equations. University of Maryland, 1973, Orsay. | Zbl

Cité par Sources :