Initial layers and zero-relaxation limits of Euler-Maxwell equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Hajjej, Mohamed-Lasmer^1,2  Peng, Yue-Jun^1,2 

[1] CNRS, UMR 6620, Math Lab, F-63171 Aubiere, France

[2] Univ Clermont Ferrand, Clermont Univ, F-63000 Clermont Ferrand, France

关键词: Euler-Maxwell equations;    Zero-relaxation limit;    Asymptotic expansion;    Initial layer correction;    Drift-diffusion equations;   

DOI  :  10.1016/j.jde.2011.09.029

来源: Elsevier

【 摘 要 】

In this paper we consider zero-relaxation limits for periodic smooth solutions of Euler-Maxwell systems. For well-prepared initial data, we propose an approximate solution based on a new asymptotic expansion up to any order. For ill-prepared initial data, we construct initial layer corrections in an explicit way. In both cases, the asymptotic expansions are valid in time intervals independent of the relaxation time and their convergence is justified by establishing uniform energy estimates. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free