Convergence of a Singular Euler-Maxwell Approximation of the Incompressible Euler Equations

被引：2

作者：

Yang, Jianwei ^{[1
]}

Wang, Hongli ^{[1
]}

机构：

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

来源：

JOURNAL OF APPLIED MATHEMATICS | 2011年

基金：

美国国家科学基金会;

关键词：

QUASI-NEUTRAL LIMIT; POISSON SYSTEM; MODEL;

D O I：

10.1155/2011/942024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the Euler-Maxwell system which is a model of a collisionless plasma. By energy estimation and the curl-div decomposition of the gradient, we rigorously justify a singular approximation of the incompressible Euler equations via a quasi-neutral regime.

引用

页数：13

共 23 条

[11] Convergence of nonlinear Schrodinger-Poisson systems to the compressible Euler equations [J].

Jüngel, A ;

Wang, S .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2003, 28 (5-6) :1005-1022

[12]

Kato T., 1972, Journal of Functional Analysis, V9, P296, DOI 10.1016/0022-1236(72)90003-1

[13] SINGULAR LIMITS OF QUASILINEAR HYPERBOLIC SYSTEMS WITH LARGE PARAMETERS AND THE INCOMPRESSIBLE LIMIT OF COMPRESSIBLE FLUIDS [J].

KLAINERMAN, S ;

MAJDA, A .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1981, 34 (04) :481-524

[14] COMPRESSIBLE AND INCOMPRESSIBLE FLUIDS [J].

KLAINERMAN, S ;

MAJDA, A .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1982, 35 (05) :629-651

[15] Convergence of the nonisentropic Euler-Poisson equations to incompressible type Euler equations [J].

Li, Yeping .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (02) :1107-1125

[16] Quasi-neutral limit of the Euler-Poisson and Euler-Monge-Ampere systems [J].

Loeper, G .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2005, 30 (08) :1141-1167

[17]

Peng YJ, 2005, ASYMPTOTIC ANAL, V41, P141

[18] Convergence of compressible Euler-Maxwell equations to incompressible euler equations [J].

Peng, Yue-Jun ;

Wang, Shu .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2008, 33 (03) :349-376

[19] Quasi-neutral limit of the non-isentropic Euler-Poisson system [J].

Peng, Yue-Jun ;

Wang, Ya-Guang ;

Yong, Wen-An .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2006, 136 :1013-1026

[20] Convergence of compressible Euler-Maxwell equations to compressible Euler-Poisson equations [J].

Peng, Yuejun ;

Wang, Shu .

CHINESE ANNALS OF MATHEMATICS SERIES B, 2007, 28 (05) :583-602

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