The relaxation-time limit in the compressible Euler-Maxwell equations

被引：5
|
作者：
Yang, Jianwei [1 ]
Wang, Shu [2 ]
Zhao, Juan [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 | 2011年 / 74卷 / 18期
关键词：
Euler-Maxwell equations; Relaxation time limit; Plasmas; Energy estimate; QUASI-NEUTRAL LIMIT; DRIFT-DIFFUSION EQUATIONS; POISSON SYSTEM; HYDRODYNAMIC MODEL; HYPERBOLIC SYSTEMS; SEMICONDUCTORS; CONVERGENCE;
D O I：
10.1016/j.na.2011.07.020
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 study multidimensional Euler-Maxwell equations for plasmas with short momentum relaxation time. The convergence for the smooth solutions to the compressible Euler-Maxwell equations toward the solutions to the smooth solutions to the drift-diffusion equations is proved by means of the Maxwell iteration, as the relaxation time tends to zero. Meanwhile, the formal derivation of the latter from the former is justified. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：7005 / 7011
页数：7
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