Preprint 2000-026

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

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

Paper:

Available as PostScript.

Author(s):

Florent Berthelin, <florent.berthelin@labomath.univ-orleans.fr>

Francois Bouchut, <Francois.Bouchut@dma.ens.fr>

Publishing information:

Comments:

Submitted by:

<fbouchut@dma.ens.fr> June 13 2000.