The incompressible limit of solutions of the two-dimensional compressible Euler system with degenerating initial data

Comptes Rendus Mathematique

Volumn 336, Issue 6, 2003, Pages 471-474

  Dutrifoy, Alexandre ^a   Hmidi, Taoufik ^b  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038391294     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00100-6     Document Type: Article

References (7)

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2. B. Desjardins, E. Grenier, Low Mach number limit of viscous compressible flows in the whole space, Roy. Soc. London Proc. Ser. A Math. Phys. Eng. Sci. 455 (1986)(1999) 2271-2279.
3. A. Dutrifoy, T. Hmidi, The incompressible limit of solutions of the two-dimensional compressible Euler system with degenerating initial data.
4. P. Gamblin, X. Saint Raymond, On three-dimensional vortex patches, Bull. Soc. Math. France 123(3) (1995) 375-424.
5. J. Ginibre, G. Velo, Generalized Strichartz inequalities for the wave equation, J. Funct. Anal. 133 (1) (1995) 50-68.
6. S. Klainerman, A. Majda, Singular limits of quasilinear hyperbolic systems with large parameters anf the incompressible limit of compressible fluids, Comm. Pure Appl. Math. 34 (4) (1981) 481-524.
7. S. Ukai, The incompressible limit and the initial layer of the compressible Euler equation, J. Math. Kyoto Univ. 26 (2) (1986) 323-331.