带有分数阶耗散的Boussinesq方程组关于速度的对数型正则准则  

The Logarithmic Regularity Criteria for Velocity of Boussinesq Equations with Fractional Laplacian Dissipation

作　　者：乐爱庭 

机构地区：[1]浙江师范大学数学与计算机科学学院,浙江 金华

出　　处：《应用数学进展》2021年第9期2917-2922,共6页Advances in Applied Mathematics

摘　　要：本文主要研究3维情形下带有分数阶耗散的Boussinesq方程组在乘子空间中的对数型正则性准则问题,证明了当速度满足(2.1)时,方程组(1.1)的弱解在(0,T]上是正则的。In this paper, we focus on the logarithmic regularity problem of 3D Boussinesq equations with fractional laplacian dissipation in the multiplicator space. We prove that if the velocity satisfies the condition (2.1), the weak solutions of equations (1.1) are regularity on (0,T].

关 键 词：分数阶耗散 BOUSSINESQ方程组 正则性准则 

分 类 号：O17[理学—数学]