带有分数阶耗散的MHD方程在Besov空间的正则性准则
Regularity Criteria for MHD Equations with Fractional Laplacian Dissipation in Besov Spaces
摘要: 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。
Abstract: 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 (0,T] .
文章引用：林隆. 带有分数阶耗散的MHD方程在Besov空间的正则性准则[J]. 应用数学进展, 2023, 12(4): 1461-1466. https://doi.org/10.12677/AAM.2023.124150

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