Stability of non-constant equilibrium solutions for two-fluid non-isentropic Euler-Maxwell systems arising in plasmas

被引：3

作者：

Feng, Yue-Hong ^{[1
]}

Li, Xin ^{[1
]}

Wang, Shu ^{[1
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Ping Le Yuan 100, Beijing 100124, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 07期

基金：

中国博士后科学基金;

关键词：

STEADY-STATE SOLUTIONS; GLOBALLY SMOOTH SOLUTIONS; REGULARITY-LOSS TYPE; ASYMPTOTIC-BEHAVIOR; CLASSICAL-SOLUTIONS; CAUCHY-PROBLEM; EXISTENCE; EQUATIONS; DECAY; LIMIT;

D O I：

10.1063/1.5047656

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the periodic problem for two-fluid non-isentropic Euler-Maxwell systems in plasmas. By means of suitable choices of symmetrizers and an induction argument on the order of the time-space derivatives of solutions in energy estimates, the global smooth solution with small amplitude is established near a nonconstant equilibrium solution with asymptotic stability properties. This improves the results obtained in the work of Li et al. [Z. Angew. Math. Phys. 67(5), 133 (2016)] for models with temperature diffusion terms by using the pressure functions p(nu) in place of the unknown variable densities n(nu). Published by AIP Publishing.

引用

页数：20

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