期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 69, 期 10, 页码 3637-3660出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2007.10.005
关键词
Magnetohydrodynamics (MHD); Weak solutions with a defect measure; Time-periodic solutions
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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