TIME PERIODIC SOLUTIONS TO THE THREE DIMENSIONAL EQUATIONS OF COMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS

被引：9

作者：

Cai, Hong ^{[1
]}

Tan, Zhong

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 04期

基金：

中国国家自然科学基金;

关键词：

3D Compressible magnetohydrodynamic equations; time periodic solution; uniform estimates; topological degree theory; CONTINUOUS DEPENDENCE; GLOBAL-SOLUTIONS; EXISTENCE;

D O I：

10.3934/deds.2016.36.1847

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the compressible magnetohydrodynamic system with some smallness and symmetry assumptions on the time periodic external force is considered in R-3. Based on the uniform estimates and the topological degree theory, we prove the existence of a time periodic solution in a bounded domain. Then by a limiting process, the result in the whole space R-3 is obtained.

引用

页码：1847 / 1868

页数：22

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