Kinetic Approach to Systems of Conservation Laws
Publications de l'Institut de recherche mathématiques de Rennes, Fascicule d'équations aux dérivées partielles, no. 1 (1992), pp. 192-204.
@article{PSMIR_1992___1_192_0,
     author = {Perthame, B.},
     title = {Kinetic {Approach} to {Systems} of {Conservation} {Laws}},
     journal = {Publications de l'Institut de recherche math\'ematiques de Rennes},
     pages = {192--204},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {1},
     year = {1992},
     language = {en},
     url = {http://www.numdam.org/item/PSMIR_1992___1_192_0/}
}
TY  - JOUR
AU  - Perthame, B.
TI  - Kinetic Approach to Systems of Conservation Laws
JO  - Publications de l'Institut de recherche mathématiques de Rennes
PY  - 1992
SP  - 192
EP  - 204
IS  - 1
PB  - Département de Mathématiques et Informatique, Université de Rennes
UR  - http://www.numdam.org/item/PSMIR_1992___1_192_0/
LA  - en
ID  - PSMIR_1992___1_192_0
ER  - 
%0 Journal Article
%A Perthame, B.
%T Kinetic Approach to Systems of Conservation Laws
%J Publications de l'Institut de recherche mathématiques de Rennes
%D 1992
%P 192-204
%N 1
%I Département de Mathématiques et Informatique, Université de Rennes
%U http://www.numdam.org/item/PSMIR_1992___1_192_0/
%G en
%F PSMIR_1992___1_192_0
Perthame, B. Kinetic Approach to Systems of Conservation Laws. Publications de l'Institut de recherche mathématiques de Rennes, Fascicule d'équations aux dérivées partielles, no. 1 (1992), pp. 192-204. http://www.numdam.org/item/PSMIR_1992___1_192_0/

[Ba] C. Bardos. Introduction aux problèmes hyperboliques. In CIME Lesson, LN 1047, Springer Verlag, Berlin. H.B. Da Veiga Editor.

[Br] Y. Brenier, Résolution d'équations d'évolution quasilinéaires. J. Diff. Eq. 50(3), (1986), 375-390. | MR | Zbl

[Ce] C. Cercignani. The Boltzmann Equation and its applications. Applied Math. Sc. 67, Springer Verlag, Berlin (1988). | MR | Zbl

[Ch] C.Q. Chen. The compensated compactness method and the system of isentropic gas dynamics. Preprint MSRI - 00527-91, Mathematical Sciences Research Institute, Berkeley (1990).

[DP] R.J. Di Perna. Convergence of approximate solutions to conservation laws. Arch. Rat. Mech. Anal. 82 (1983) pp. 27-70. | MR | Zbl

[DLM] R. Di Perna, P.L. Lions, Y. Meyer, LP regularity of velocity averages. A Paraître dans Ann. IHP Anal. Non Lin., 1991. | Numdam | MR | Zbl

[GLPS] F. Golse, P.L. Lions, B. Perthame, R. Sentis, Regularity of the moments of the solution of a transport equation. J. Funct. Anal. 76(1), (1988), 11°-125. | MR | Zbl

[K] S. Kruzkov, First order quasi-linear equations with several space variables. Math. USSR Sb. 10(1970), 217-273.

[L] P.D. Lax. Hyperbolic systems of conservation laws and the mathematical theory of shock waves. CBMS-NSF conference n° 11, SIAM, Philadelfia (1973). | MR | Zbl

[LP] P.L. Lions, B. Perthame. Moments, averaging and dispersion lemmas. C.R. Ac. Sc. Paris (1992) to appear. | MR | Zbl

[LPT1] P.L. Lions, B. Perthame, E. Tadmor, Kinetic formulation of scalar conservation laws. Note C.R.A.S. t. Série 1 (1991). | Zbl

[LPT2] P.L. Lions. B. Perthame, E. Tadmor. Kinetic formulation of isentropic gas dynamics in preparation. | Zbl

[P] B. Perthame, Higher moments for kinetic equations ; Applications to Vlasov-Poisson and Fokker-Planck Equations. Math. Methods in the Appl. Sc. 13(1990), 441-452. | MR | Zbl

[PT] B. Perthame, E. Tadmor, A kinetic equation with kinetic entropy functions for scalar conservation laws. A paraître dans Comm. in Math. Phys. | Zbl

[S] J. Smoller, Shock waves and reaction diffusion equations. Springer-Verlag New York, Heidelberg-Berlin, (1982). | MR | Zbl

[T] L. Tartar, In Research notes in Mathematics, 39, Henriot-Watt Symp. Vol. 4 Pitman Press Boston, London (1975), 136-211. | Zbl