%A Jing Yang,Xuemei Deng,Yanping Zhou %T Global Regularity for the MHD-Boussinesq System with Fractional Diffusion %0 Journal Article %D 2021 %J Acta mathematica scientia,Series A %R %P 1805-1815 %V 41 %N 6 %U {http://121.43.60.238/sxwlxbA/CN/abstract/article_16553.shtml} %8 2021-12-26 %X

In this paper, we investigate the $n$-dimensional $(n\geq2)$ Magnetohydrodynamics-Boussinesq system with fractional diffusion. When the nonnegative constants $\alpha, \beta$ and $\gamma$ satisfy $\alpha\geq\frac{1}{2}+\frac{n}{4}, \ \alpha+\beta\geq 1+\frac{n}{2}$ and $\alpha+\gamma\geq\frac{n}{2}$, by using the energy methods, we obtain the global existence and uniqueness of solution for the system, which generalizes the existing result.