AN EXISTENCE RESULT FOR A STRONGLY COUPLED PARABOLIC-SYSTEM ARISING IN NONEQUILIBRIUM THERMODYNAMICS

Authors
DEGOND P GENIEYS S JUNGEL A
Citation
P. Degond et al., AN EXISTENCE RESULT FOR A STRONGLY COUPLED PARABOLIC-SYSTEM ARISING IN NONEQUILIBRIUM THERMODYNAMICS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(2), 1997, pp. 227-232
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
325
Issue
2
Year of publication
1997
Pages
227 - 232
Database
ISI
SICI code
0764-4442(1997)325:2<227:AERFAS>2.0.ZU;2-D
Abstract
We consider in this Note the time-dependent equations for a charged ga s or fluid consisting of several components exposed to an electric fie ld. The existence of weak solutions is proved. The key of the proof is a transformation of the problem by using the entropic variables, whic h symmetrizes the equations, and a priori estimates obtained by using the entropy function.