Asymptotic Stability of the Compressible Euler-Maxwell Equations to Euler-Poisson Equations

被引：0

作者：

Liu, Qingqing ^{[1
]}

Yin, Haiyan ^{[1
]}

Zhu, Changjiang ^{[2
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Phys, Wuhan 430079, Peoples R China

[2] S China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2014年 / 63卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Compressible Euler-Maxwell equations; Euler-Poisson equations; asymptotic stability; REGULARITY-LOSS TYPE; HYDRODYNAMIC MODEL; CAUCHY-PROBLEM; SYSTEM; CONVERGENCE; SEMICONDUCTORS; WAVES; FLOWS; DECAY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a one-dimensional Euler-Maxwell system with initial data whose behaviors at far fields x -> +/- infinity are different. Inspired by the relationship between Euler-Maxwell and Euler-Poisson, we can prove that the one-dimensional Euler-Maxwell equation behaves time asymptotically to the corresponding Euler-Poisson equation studied by Huang, Mei, Wang, and Yu in [11]. Meanwhile, we obtain the global existence of solutions based on the energy method.

引用

页码：1085 / 1108

页数：24

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