Global variational solutions to the compressible magnetohydrodynamic equations

被引：95
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.
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页码：3637 / 3660
页数：24
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