Blow-up of smooth solutions to the compressible magnetohydrodynamic flows |
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| Authors: | Tong Tang Yuexun Wang |
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| Affiliation: | 1. Department of Mathematics, College of Sciences, Hohai University, Nanjing 210098, PR China;2. Mathematical Sciences Center, Tsinghua University, Beijing 100084, PR China |
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| Abstract: | In this paper, we prove the blow-up phenomena of smooth solutions to the Cauchy problem for the full compressible magnetohydrodynamic equations and isentropic compressible magnetohydrodynamic equations with constant and degenerate viscosities under some restrictions on the initial data. In particular, our results do not require that the initial data have compact support or contain vacuum in any finite region. |
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| Keywords: | Blow-up Compressible magnetohydrodynamic equations |
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