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A blow-up criterion for 3-D non-resistive compressible heat-conductive magnetohydrodynamic equations with initial vacuum
Authors:Xu Xinying
Institution:1. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
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.
Keywords:compressible magnetohydrodynamics  blow-up criterion  vacuum  zero resistivity  heat-conducting flows
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