Blow-up criteria for the 2½D magnetic Bénard fluid system with partial viscosity. Issue 8 (10th June 2020)

• Record Type: Journal Article
• Authors: Ma, Liangliang; Zhang, Lei
• Is Part Of: Applicable analysis. Volume 99:Issue 8(2020)
• Page Start: 1271
• Page End: 1299
• Publication Date: 2020-06-10
• Subjects: Ming Mei; Magnetic Bénard system -- blow-up criterion -- smooth solutions -- dissipation -- magnetic diffusion -- thermal diffusivity -- Besov spaces; 35B65 -- 35Q35 -- 76D03; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2018.1529305
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: We study the Cauchy problem for the 2 1 2 D incompressible magnetic Bénard fluid system with partial viscosity and derive some blow-up criteria of smooth solutions. More precisely, we first obtain a blow-up criterion of smooth solutions to the 2 1 2 D magnetic Bénard fluid system without zero magnetic diffusion and thermal diffusivity. Furthermore, we derive two blow-up criteria of smooth solutions to the 2 1 2 D magnetic Bénard fluid system without dissipation.