The diffusive relaxation limit of non-isentropic Euler-Maxwell equations for plasmas

被引：10

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：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 380卷 / 01期

关键词：

Non-isentropic Euler-Maxwell equations; Diffusive relaxation limit; The Maxwell iteration; Energy estimates; HYDRODYNAMIC MODEL; HYPERBOLIC SYSTEMS; SINGULAR LIMITS; CONVERGENCE;

D O I：

10.1016/j.jmaa.2011.01.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the non-isentropic Euler-Maxwell equations for plasmas with short momentum relaxation time. With the help of the Maxwell-type iteration, it is obtained that, as the relaxation time tends to zero, periodic initial-value problem of certain scaled non-isentropic Euler-Maxwell equations has unique smooth solutions existing in the time interval where the corresponding classical drift-diffusion model has smooth solutions. Meanwhile, we justify a formal derivation of the corresponding drift-diffusion model from the non-isentropic Euler-Maxwell equations. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：343 / 353

页数：11

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