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.
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)
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)。
