Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited

被引：0
|
作者：
A. Jüngel
Y.-J. Peng
机构：
[1] Fachbereich Mathematik,
[2] Technische Universität Berlin,undefined
[3] Straße des 17. Juni 136,undefined
[4] D-10623 Berlin,undefined
[5] Germany,undefined
[6] e-mail: ungel@math.tu-berlin.de,undefined
[7] Laboratoire de Mathématiques Appliquées,undefined
[8] CNRS UMR 6620,undefined
[9] Université Blaise Pascal,undefined
[10] F-63177 Aubière Cedex,undefined
[11] France,undefined
[12] e-mail: peng@ucfma.univ-bpclermont.fr,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik ZAMP | 2000年 / 51卷
关键词：
Key words. Euler-Poisson system, zero-relaxation-time limits, high energy estimates, compensated compactness, compactness by convexity, plasmas.;
D O I：
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中图分类号：
学科分类号：
摘要：
A rigorous proof of the zero-relaxation-time limits in the hydrodynamic equations for plasmas is given. The equations consist of the Euler equations for the electrons and/or ions coupled with a linear or nonlinear Poisson equation. The proof is based on high energy estimates for the Euler equations and appropriate compactness arguments. The theorem is valid for all adiabatic states for both electrons and ions and thus improves our previous results [9].
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页码：385 / 396
页数：11
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