Stability of non-constant equilibrium solutions for two-fluid Euler-Maxwell systems

被引：13
|
作者：
Feng, Yue-Hong [1 ]
Peng, Yue-Jun [2 ,3 ]
Wang, Shu [1 ]
机构：
[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
[2] Univ Blaise Pascal, Clermont Univ, F-63000 Clermont Ferrand, France
[3] CNRS, Math Lab, UMR 6620, F-63171 Aubiere, France
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2015年 / 26卷
基金：
中国博士后科学基金;
关键词：
Two-fluid Euler-Maxwell system; Plasmas; Non-constant equilibrium solutions; Global smooth solutions; Long time behavior; DISSIPATIVE HYPERBOLIC SYSTEMS; REGULARITY-LOSS TYPE; SMOOTH SOLUTIONS; GLOBAL EXISTENCE; ASYMPTOTIC-BEHAVIOR; CAUCHY-PROBLEM; MODEL; DECAY;
D O I：
10.1016/j.nonrwa.2015.06.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we consider periodic problems for two-fluid compressible Euler-Maxwell systems for plasmas. The initial data are supposed to be in a neighborhood of non-constant equilibrium states. Mainly by an induction argument used in Peng (2015), we prove the global stability in the sense that smooth solutions exist globally in time and converge to the equilibrium states as the time goes to infinity. Moreover, we obtain the global stability of solutions with exponential decay in time near the equilibrium states for two-fluid compressible Euler Poisson systems. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：372 / 390
页数：19
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