Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects
Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects
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DOI：
10.1016/j.jde.2017.08.034
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发表时间：
2017-02
影响因子：
2.4
通讯作者：
Dongfen Bian;Jitao Liu
中科院分区：
文献类型：
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作者：
Dongfen Bian;Jitao Liu
本文研究的是具有与温度相关的粘度、热扩散率和电导率的二维磁流体动力学-Boussinesq 系统的初始边值问题。首先，我们在最小初始假设下建立全局弱解。然后通过对初始数据施加更高的正则性假设，得到具有唯一性的全局强解。此外，还分别得到了弱解和强解的指数衰减率。
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 theminimalinitial assumption. Then by imposing higher regularity assumption on the initial data, we obtain the global strong solution with uniqueness. Moreover, theexponentialdecay rates of weak solutions and strong solution are obtained respectively.