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.
Cuntao xiao
,
Hua qiu
,
Zheng-an yao
. THE GLOBAL EXISTENCE AND ANALYTICITY OF A MILD SOLUTION TO THE 3D REGULARIZED MHD EQUATIONS[J]. Acta mathematica scientia, Series B, 2024
, 44(3)
: 973
-983
.
DOI: 10.1007/s10473-024-0311-z
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