The Maxwell-Boltzmann approximation for ion kinetic modeling

被引：22

作者：

Bardos, Claude ^{[1
]}

Golse, Francois ^{[3
]}

Nguyen, Toan T. ^{[2
]}

Sentis, Remi ^{[1
]}

机构：

[1] Lab JL Lions, BP187, F-75252 Paris 05, France

[2] Penn State Univ, Dept Math, State Coll, PA 16802 USA

[3] Ecole Polytech, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2018年 / 376卷

关键词：

Maxwell-Boltzmann relation; Vlasov equation; VLASOV-POISSON SYSTEM; QUASI-NEUTRAL LIMIT; PLASMA PHYSICS; WEAK SOLUTIONS; PROPAGATION; OPERATORS; ELECTRONS; EQUATION; MASS;

D O I：

10.1016/j.physd.2017.10.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to provide a justification of the Maxwell-Boltzmann approximation of electron density from kinetic models. First, under reasonable regularity assumption, we rigorously derive a reduced kinetic model for the dynamics of ions, while electrons satisfy the Maxwell-Boltzmann relation. Second, we prove that equilibria of the electrons distribution are local Maxwellians, and they can be uniquely determined from conserved mass and energy constants. Finally, we prove that the reduced kinetic model for ions is globally well-posed. The constructed weak solutions conserve energy. Published by Elsevier B.V.

引用

页码：94 / 107

页数：14

共 28 条

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