A blow-up criterion for 3-D non-resistive compressible heat-conductive magnetohydrodynamic equations with initial vacuum |
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Authors: | Xu Xinying |
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Affiliation: | 1. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
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Abstract: | In this paper, we prove a blow-up criterion of strong solutions to the 3-D viscous and non-resistive magnetohydrodynamic equations for compressible heat-conducting flows with initial vacuum. This blow-up criterion depends only on the gradient of velocity and the temperature, which is similar to the one for compressible Navier-Stokes equations. |
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Keywords: | compressible magnetohydrodynamics blow-up criterion vacuum zero resistivity heat-conducting flows |
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