Construction of BGK Models with a Family of Kinetic Entropies for a Given
System of Conservation Laws
We introduce a general framework for kinetic BGK models. We assume
to be given a system of hyperbolic conservation laws with a family
of Lax entropies, and we characterize the BGK models that lead to this
system in the hydrodynamic limit, and that are compatible with
the whole family of entropies. This is obtained by a new
characterization of maxwellians as entropy minimizers, that can take
into account the simultaneous minimization problems corresponding
to the family of entropies. We deduce a general procedure to construct
such BGK models, and we give examples and applications in gas dynamics.
- Available as PostScript.
- Construction of BGK models with a family of kinetic entropies for a
given system of conservation laws.
François Bouchut ,
- Publishing information:
- Submitted by:
September 16 1998.
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Last modified: Thu Sep 17 08:49:13 1998