%0 Journal Article
%T 带有分数阶耗散的MHD方程在Besov空间的正则性准则<br>Regularity Criteria for MHD Equations with Fractional Laplacian Dissipation in Besov Spaces
%A 林隆
%J Advances in Applied Mathematics
%P 1461-1466
%@ 2324-8009
%D 2023
%I Hans Publishing
%R 10.12677/AAM.2023.124150
%X 本文主要研究了不带密度且速度场带有分数阶耗散的三维MHD流体方程组在齐次Besov空间中的一个正则性准则。证明了当方程组(1.1)的弱解 满足条件(2.1)时，方程组(1.1)在(0,T]上是正则的。<br />
In this paper, we study the regularity criterion for 3D MHD equations without density and with frac-tional dissipation in homogeneous Besov space. It is proved that when the weak solution of equa-tions (1.1) satisfies condition (2.1), equations (1.1) is regular on <span>(0,T]</span> .
%K MHD流体方程组，齐次Besov空间，分数阶耗散，正则性准则<br>MHD Equations
%K Homogeneous Besov Space
%K Fractional Laplacian Dissipation
%K Regularity Criteria
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=63831