Preprint 2000-026

Kinetic Invariant Domains and Relaxation Limit from a BGK Model to Isentropic Gas Dynamics

Florent Berthelin and Francois Bouchut

Abstract: We obtain rigorously the correspondence between kinetic and macroscopic invariant domains for a vector kinetic BGK system considered in a previous paper of the authors. We establish the convergence, as the relaxation parameter tends to $0$, to weak entropy solutions of isentropic gas dynamics equations.

Key-words: isentropic gas dynamics, kinetic BGK model, kinetic entropy, kinetic invariant domain, relaxation limit

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Florent Berthelin, <>
Francois Bouchut, <>
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<> June 13 2000.

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