Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation. (November 2021)

• Record Type: Journal Article
• Authors: Bian, Dongfen; Dai, Shouyi; Mao, Jingjing
• Is Part Of: Applied mathematics letters. Volume 121(2021)
• Publication Date: 2021-11
• Subjects: Boussinesq-MHD system -- Couette flow -- Stability -- Vertical dissipation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107415
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, we establish the nonlinear stability of Couette flow in a uniform magnetic field for the Boussinesq equations with magnetohydrodynamics convection in the domain T × R with only vertical dissipation. This extends the result for full dissipation case in the reference Bian et al. (2020) to partial dissipation case and the result for Boussinesq system in the reference Deng et al. (2020) to the full system in the presence of the magnetic field.