TY - JOUR
T1 - Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects
AU - Bian, Dongfen
AU - Liu, Jitao
N1 - Publisher Copyright:
© 2017 Elsevier Inc.
PY - 2017/12/15
Y1 - 2017/12/15
N2 - 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 rates of weak solutions and strong solution are obtained respectively.
AB - 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 rates of weak solutions and strong solution are obtained respectively.
KW - Initial-boundary value problem
KW - MHD-Boussinesq system
KW - Temperature-dependent viscosity
UR - http://www.scopus.com/inward/record.url?scp=85028588994&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2017.08.034
DO - 10.1016/j.jde.2017.08.034
M3 - Article
AN - SCOPUS:85028588994
SN - 0022-0396
VL - 263
SP - 8074
EP - 8101
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 12
ER -