Global well-posedness for the 2D MHD-Boussinesq system with temperature-dependent diffusion. (August 2020)

• Record Type: Journal Article
• Authors: Yu, Yanghai; Fei, Mingwen
• Is Part Of: Applied mathematics letters. Volume 106(2020)
• Publication Date: 2020-08
• Subjects: MHD-Boussinesq system -- Variable viscosity -- Supercritical dissipation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106399
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, we aim at extending the global existence results given by Abidi–Zhang (2017) and Zhai–Dong–Chen (2019), who considered the 2D Boussinesq system with the critical dissipation for α = 1 2 and the supercritical dissipation for α ∈ ( 1 3, 1 2 ], respectively, to the MHD-Boussinesq system with supercritical temperature dissipation for α ∈ ( 0, 1 2 ) .