@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] Introduction aux problèmes hyperboliques. In CIME Lesson, LN 1047, Springer Verlag, Berlin. H.B. Da Veiga Editor.
.[Br] Résolution d'équations d'évolution quasilinéaires. J. Diff. Eq. 50(3), (1986), 375-390. | MR | Zbl
,[Ce] The Boltzmann Equation and its applications. Applied Math. Sc. 67, Springer Verlag, Berlin (1988). | MR | Zbl
.[Ch] The compensated compactness method and the system of isentropic gas dynamics. Preprint MSRI - 00527-91, Mathematical Sciences Research Institute, Berkeley (1990).
.[DP] Convergence of approximate solutions to conservation laws. Arch. Rat. Mech. Anal. 82 (1983) pp. 27-70. | MR | Zbl
.[DLM] LP regularity of velocity averages. A Paraître dans Ann. IHP Anal. Non Lin., 1991. | Numdam | MR | Zbl
, , ,[GLPS] Regularity of the moments of the solution of a transport equation. J. Funct. Anal. 76(1), (1988), 11°-125. | MR | Zbl
, , , ,[K] First order quasi-linear equations with several space variables. Math. USSR Sb. 10(1970), 217-273.
,[L] Hyperbolic systems of conservation laws and the mathematical theory of shock waves. CBMS-NSF conference n° 11, SIAM, Philadelfia (1973). | MR | Zbl
.[LP] Moments, averaging and dispersion lemmas. C.R. Ac. Sc. Paris (1992) to appear. | MR | Zbl
, .[LPT1] Kinetic formulation of scalar conservation laws. Note C.R.A.S. t. Série 1 (1991). | Zbl
, , ,[LPT2] Kinetic formulation of isentropic gas dynamics in preparation. | Zbl
. , .[P] 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] A kinetic equation with kinetic entropy functions for scalar conservation laws. A paraître dans Comm. in Math. Phys. | Zbl
, ,[S] Shock waves and reaction diffusion equations. Springer-Verlag New York, Heidelberg-Berlin, (1982). | MR | Zbl
,[T] Research notes in Mathematics, 39, Henriot-Watt Symp. Vol. 4 Pitman Press Boston, London (1975), 136-211. | Zbl
, In