A blow-up criterion for 3D non-resistive compressible magnetohydrodynamic equations with initial vacuum |
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Authors: | Xinying Xu Jianwen Zhang |
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Affiliation: | School of Mathematical Sciences, Xiamen University, Xiamen 361005, PR China |
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Abstract: | In this paper, we prove a blow-up criterion of strong solutions to the 3D viscous and non-resistive isentropic compressible magnetohydrodynamic equations with initial vacuum. This blow-up criterion depends only on the gradient of velocity, which is analogous to the one for the compressible Navier–Stokes equations (cf. Huang et al. (2010) [40]). |
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