Blow-up criteria of smooth solutions for magnetic Bénard system with partial viscosity
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摘要
We study the magnetic Bénard system in two and three-dimensions. Firstly, we obtain a blow-up criterion of smooth solutions to the magnetic Bénard system without zero magnetic diffusion and thermal diffusivity in R2. Secondly, we derive a blow-up criterion of smooth solutions to the magnetic Bénard system without dissipation in Rn(n=2,3), and in what follows, we improve this result.
论文关键词：Magnetic Bénard system,Blow-up criterion,Smooth solutions,Besov spaces,BMO spaces,Gronwall’s inequality
论文评审过程：Received 28 April 2018, Revised 12 September 2018, Accepted 1 October 2018, Available online 19 November 2018, Version of Record 19 November 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.10.008
