Global variational solutions to the compressible magnetohydrodynamic equations |
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| Authors: | Jishan Fan Wanghui Yu |
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| Institution: | 1. College of Information Sciences and Technology, Nanjing Forestry University, Nanjing 210037, PR China;2. Department of Mathematics, Suzhou University, Suzhou 215006, PR China |
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| Abstract: | 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 Poincaré-type inequality. |
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| Keywords: | 35B40 76X05 |
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