Rigorous derivation of incompressible type Euler equations from non-isentropic Euler-Maxwell equations

被引：6

作者：

Yang, Jianwei ^{[1
]}

Wang, Shu ^{[2
]}

Li, Yong ^{[2
]}

Luo, Dang ^{[1
]}

机构：

[1] N China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450011, Peoples R China

[2] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 11期

基金：

美国国家科学基金会;

关键词：

Euler-Maxwell equations; Incompressible Euler equations; Quasi-neutral limit; Non-relativistic limit; Asymptotic expansion and convergence; QUASI-NEUTRAL LIMIT; POISSON SYSTEM; HYPERBOLIC SYSTEMS; CONVERGENCE;

D O I：

10.1016/j.na.2010.07.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the convergence of the time-dependent and non-isentropic Euler-Maxwell equations to incompressible Euler equations in a torus via the combined quasi-neutral and non-relativistic limit. For well prepared initial data, the convergences of solutions of the former to the solutions of the latter are justified rigorously by an analysis of asymptotic expansions and energy method. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3613 / 3625

页数：13

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