Blow-up criteria of smooth solutions for magnetic Bénard system with partial viscosity

Liangliang Ma and Ruihong Ji

Applied Mathematics and Computation, 2019, vol. 346, issue C, 816-831

Abstract: 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.

Keywords: Magnetic Bénard system; Blow-up criterion; Smooth solutions; Besov spaces; BMO spaces; Gronwall’s inequality (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:346:y:2019:i:c:p:816-831

DOI: 10.1016/j.amc.2018.10.008

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