Some new Kazhikhov-Smagulov type systems: Pollutant spread and low Mach number combustion models;De nouveaux systèmes de type Kazhikhov-Smagulov: Modèles de propagation de polluants et de combustion à faible nombre de Mach

Comptes Rendus Mathematique

Volumn 335, Issue 11, 2002, Pages 973-978

  Bresch, Didier ^a   Essoufi, El Hassan ^b   Sy, Mamadou ^a,c  

^a UNIVERSITÉ BLAISE PASCAL   (France)

^b MOULAY ISMAIL UNIVERSITY   (Morocco)

^c UNIVERSITÉ GASTON BERGER   (Senegal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038187579     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02593-1     Document Type: Article

References (11)

1. S.N. Antonsev, A.V. Kazhikhov, V.N. Monakov, Boundary Value Problems in Mechanics of Nonhomogeneous Fluids, North-Holland, 1990.
2. H. Beirao da Veiga, Diffusion on viscous fluids. Existence and asymptotic properties of solutions, Ann. Scuola Norm. Pisa 10 (1983) 341-351.
3. D. Bresch, B. Desjardins, C.K. Lin, On some compressible fluid models: Korteweg, lubrication and shallow water systems, Comm. Partial Differential Equations (2002), à paraître.
4. D. Bresch, E.H. Essoufi, M. Sy, Some new Kazhikhov-Smagulov type models, en préparation.
5. P. Embid, Well-posedness of the nonlinear equations for zero Mach number combustion, Comm. Partial Differential Equations 12 (1987) 1227-1284.
6. F. Franchi, B. Straughan, A comparison of the Graffi and Kazhikhov-Smagulov models for heavy pollution instability, Adv. Water Ressources 24 (2001) 585-594.
7. F. Gerbeau, B. Perthame, Derivation of viscous Saint-Venant system for laminar shallow water; Numerical results, Discrete Continuous Dynamical Systems Ser. B 1 (2001) 89-102.
8. A. Kazhikhov, Sh. Smagulov, The correctness of boundary value problems in a diffusion model of an inhomogeneous fluid, Soviet Phys. Dokl. 22 (1977) 249-252.
9. A. Majda, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Dimensions, Appl. Math. Sci., Vol. 53, Springer-Verlag, 1984.
10. P.-L. Lions, Mathematical Topics in Fluid Dynamics, Vol. 2, Compressible Models, Oxford University Press, 1998.
11. P. Secchi, On the motion of viscous fluids in the presence of diffusion, SIAM J. Math. Anal. 19 (1988) 22-31.