Kinetic approach to systems of conservation laws
Journées équations aux dérivées partielles (1992), article no. 8, 13 p. 
@incollection{JEDP_1992____A8_0,
     author = {Perthame, Beno{\^\i}t},
     title = {Kinetic approach to systems of conservation laws},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {8},
     pages = {1--13},
     year = {1992},
     publisher = {Ecole polytechnique},
     doi = {10.5802/jedp.426},
     language = {en},
     url = {https://www.numdam.org/articles/10.5802/jedp.426/}
}
TY  - JOUR
AU  - Perthame, Benoît
TI  - Kinetic approach to systems of conservation laws
JO  - Journées équations aux dérivées partielles
PY  - 1992
SP  - 1
EP  - 13
PB  - Ecole polytechnique
UR  - https://www.numdam.org/articles/10.5802/jedp.426/
DO  - 10.5802/jedp.426
LA  - en
ID  - JEDP_1992____A8_0
ER  - 
%0 Journal Article
%A Perthame, Benoît
%T Kinetic approach to systems of conservation laws
%J Journées équations aux dérivées partielles
%D 1992
%P 1-13
%I Ecole polytechnique
%U https://www.numdam.org/articles/10.5802/jedp.426/
%R 10.5802/jedp.426
%G en
%F JEDP_1992____A8_0
Perthame, Benoît. Kinetic approach to systems of conservation laws. Journées équations aux dérivées partielles (1992), article  no. 8, 13 p.. doi: 10.5802/jedp.426

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

[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. | 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).

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

Cité par Sources :