Measure-valued solutions of the euler equations for ideal compressible polytropic fluids

Mathematical Methods in the Applied Sciences

Volumn 19, Issue 3, 1996, Pages 235-252

  Kröner, Dietmar ^a   Zajaczkowski, Wojciech M ^b  

^a UNIVERSITY OF FREIBURG   (Germany)

^b INSTITUTE OF MATHEMATICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5244313744     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(199602)19:3<235::AID-MMA772>3.0.CO;2-4     Document Type: Article

References (9)

1. Courant, R. and Friedrich, K. O., Supersonic Flow and Shock Waves, Springer, New York, Heidelberg, Berlin, 1976.
2. Di Perna, R. J., 'Measure-valued solution to conservation laws', Arch. Rat. Mech. Anal. 88, 223-270 (1985).
3. Ladyzhenskaya, O. A., Solonnikov, V. A. and Uraltseva, N. N., Linear and Quasilinear Equations of Parabolic Type, Nauka, Moscow, 1967 (in Russian).
4. Landau, L. and Lifschitz, E., Mechanics of Continuum Media, Moscow 1984 (in Russian), (Engl. transl.) Pergamon Press, Oxford, 1959.
5. Lions, J. L., Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Gauthier-Villars, Paris, 1969.
6. Necas, J., Novotny, A. and Silhavy, M., 'Global solutions to the ideal compressible heat conductive multipolar fluid', MUC 30, 551-564 (1989).
7. Necas, J., Novotny, A. and Silhavy, M., 'Global solutions to the compressible isothermal multipolar fluid', J. Math. Anal. Appl. 162 (1991) 223-242.
8. Necas, J., Novotny, A. and Silhavy, M., 'Global solutions to te viscous compressible barotropic multipolar gas', Theoret. Comput. Fluid Dynamics 4, 1-11 (1992).
9. Neustupa, J., Measure-valued solutions of the Euler and Navier-Stokes equations for compressible barotropic fluids, Math. Nachr. 163, 217-227 (1993).