THE GLOBAL EXISTENCE AND ANALYTICITY OF A MILD SOLUTION TO THE 3D REGULARIZED MHD EQUATIONS  

作　　者：肖存涛 邱华 姚正安 Cuntao XIAO;Hua QIU;Zheng-an YAO(School of Mathematics and Statistics,Guangdong University of Technology,Guangzhou,510090,China;Department of Mathematics,South China Agricultural University,Guangzhou,510642,China;School of Mathematics,Sun Yat-sen University,Guangzhou,510275,China)

机构地区：[1]School of Mathematics and Statistics,Guangdong University of Technology,Guangzhou,510090,China [2]Department of Mathematics,South China Agricultural University,Guangzhou,510642,China [3]School of Mathematics,Sun Yat-sen University,Guangzhou,510275,China

出　　处：《Acta Mathematica Scientia》2024年第3期973-983,共11页数学物理学报（B辑英文版）

基　　金：supported by the Opening Project of Guangdong Province Key Laboratory of Cyber-Physical System(20168030301008);supported by the National Natural Science Foundation of China(11126266);the Natural Science Foundation of Guangdong Province(2016A030313390);the Quality Engineering Project of Guangdong Province(SCAU-2021-69);the SCAU Fund for High-level University Building;supported by the National Key Research and Development Program of China(2020YFA0712500);the National Natural Science Foundation of China(11971496,12126609)。

摘　　要：In this paper,we study the three-dimensional regularized MHD equations with fractional Laplacians in the dissipative and diffusive terms.We establish the global existence of mild solutions to this system with small initial data.In addition,we also obtain the Gevrey class regularity and the temporal decay rate of the solution.

关 键 词：regularized MHD equations fractional Laplacian global well-posedness ANALYTICITY decay rate 

分 类 号：O175[理学—数学]