Nonlinear regularizing effect for hyperbolic partial differential equations

François Golse

doi:10.1142/9789814304634_0033

Nonlinear regularizing effect for hyperbolic partial differential equations

François Golse

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Résumé

The Tartar-DiPerna compensated compactness method, used initially to construct global weak solutions of hyperbolic systems of conservation laws for large data, can be adapted in order to provide some regularity estimates on these solutions. This note treats two examples: (a) the case of scalar conservation laws with convex flux, and (b) the Euler system for a polytropic, compressible fluid, in space dimension one.

langue originale	Anglais
titre	XVIth International Congress on Mathematical Physics
Editeur	World Scientific Publishing Co.
Pages	433-437
Nombre de pages	5
ISBN (Electronique)	9789814304634
ISBN (imprimé)	981430462X, 9789814304627
Les DOIs	https://doi.org/10.1142/9789814304634_0033
état	Publié - 1 janv. 2010

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10.1142/9789814304634_0033

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title = "Nonlinear regularizing effect for hyperbolic partial differential equations",

abstract = "The Tartar-DiPerna compensated compactness method, used initially to construct global weak solutions of hyperbolic systems of conservation laws for large data, can be adapted in order to provide some regularity estimates on these solutions. This note treats two examples: (a) the case of scalar conservation laws with convex flux, and (b) the Euler system for a polytropic, compressible fluid, in space dimension one.",

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KW - Isentropic euler system

KW - Regularizing effect

KW - Scalar conservation law

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Nonlinear regularizing effect for hyperbolic partial differential equations

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