LAX ENTROPIES FOR THE EULER EQUATIONS IN THERMOCHEMICAL NONEQUILIBRIUM

Authors
CROISILLE JP VILLEDIEU P
Citation
Jp. Croisille et P. Villedieu, LAX ENTROPIES FOR THE EULER EQUATIONS IN THERMOCHEMICAL NONEQUILIBRIUM, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(8), 1994, pp. 723-727
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
318
Issue
8
Year of publication
1994
Pages
723 - 727
Database
ISI
SICI code
0764-4442(1994)318:8<723:LEFTEE>2.0.ZU;2-6
Abstract
The aim of this Note is to make precise the relationship between the f orm of the pressure law in the Euler equations with thermochemical non -equilibrium and the Lax entropies. We prove that in space dimension 1 , there exist Lax entropies not of the form (S. u S) for a special cla ss of pressure laws. Finally we obtain in the general case the equival ence of all Lax entropries for piecewise C1 solutions of the equations .