Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects

2017/02/27 by Dongfen Bian, Jitao Liu, Bian, Dongfen +1
Engineering · Mathematics · #35Q30 #76D03 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1702.08209

openalex publication_date 2017/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with the initial-boundary value problem to 2D magnetohydrodynamics-Boussinesq system with the temperature-dependent viscosity, thermal diffusivity and electrical conductivity. First, we establish the global weak solutions under the minimal initial assumption. Then by imposing higher regularity assumption on the initial data, we obtain the global strong solution with uniqueness. Moreover, the exponential decay estimate of the solution is obtained.

Citations

• On the global well-posedness for Boussinesq system
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Some mathematical questions related to the mhd equations
• Global small solutions of 2-D incompressible MHD system

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