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Entropies and flux-splittings for the isentropic Euler equations

Abstract:

The authors establish the existence of a large class of mathematical entropies (the so-called weak entropies) associated with the Euler equations for an isentropic, compressible fluid governed by a general pressure law. A mild assumption on the behavior of the pressure law near the vacuum is solely required. The analysis is based on an asymptotic expansion of the fundamental solution (called here the entropy kernel) of a highly singular Euler-Poisson-Darboux equation. The entropy kernel is on...

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Authors


LeFloch, PG More by this author
Journal:
Chinese Annals of Mathematics. Series B
Volume:
22
Issue:
2
Pages:
145-158
Publication date:
2001
ISSN:
0252-9599
URN:
uuid:c49f19c6-e1f7-4e7b-954a-f6f36bc0f9e1
Source identifiers:
203266
Local pid:
pubs:203266

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