Global variational solutions to the compressible magnetohydrodynamic equations

被引：97

作者：

Fan, Jishan ^{[1
,2
]}

Yu, Wanghui ^{[2
]}

机构：

[1] Nanjing Forestry Univ, Coll Informat Sci & Technol, Nanjing 210037, Peoples R China

[2] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Magnetohydrodynamics (MHD); Weak solutions with a defect measure; Time-periodic solutions;

D O I：

10.1016/j.na.2007.10.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of globally defined variational solutions to the compressible magnetohydrodynamic (MHD) equations with the coefficients depending on the temperature. As a by-product, we give a simple proof for the nonexistence of nontrivial weak time-periodic solutions by the entropy principle of Clausius-Duhem and a new Poincare-type inequality. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：3637 / 3660

页数：24

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