Citation
A. Jungel et Yj. Peng, A hierarchy of hydrodynamic models for plasmas zero-relaxation-time limits, COMM PART D, 24(5-6), 1999, pp. 1007-1033
Citations number
28
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
03605302
→ ACNP
Volume
24
Issue
5-6
Year of publication
1999
Pages
1007 - 1033
Database
ISI
SICI code
0360-5302(1999)24:5-6<1007:AHOHMF>2.0.ZU;2-B
Abstract
We present a model hierarchy of hydrodynamic and quasihydrodynamic equation
s for plasmas consisting of electrons and ions, and give a rigorous proof o
f the zero-relaxation-time limits in the hydrodynamic equations: described
by the Euler equations coupled with a linear or nonlinear Poisson equation.
The proof is based on the high energy estimates for the Euler equations to
gether with compactness arguments.