不可压MHD方程组的一个条件正则性准则  

A Conditional Regularity Criterion for the Incompressible MHD Equations

作　　者：张尊尊 ZHANG Zunzun(School of Mathematics and Physics,Wenzhou University,Wenzhou,China325035)

机构地区：[1]温州大学数理学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2023年第1期21-28,共8页Journal of Wenzhou University(Natural Science Edition)

摘　　要：研究了三维不可压MHD方程组弱解的条件正则性问题.主要考虑速度场水平方向的分量uh和磁场水平方向的分量bh,当uh和bh满足一定的条件时,弱解是光滑的.This paper focuses on the problem of conditional regularity of weak solutions to the three-dimensional incompressible MHD equations. The main considerations are the horizontal component uh of the velocity field and the horizontal component bh of the magnetic field, and the weak solution is smooth when uh and bh satisfy certain conditions.

关 键 词：MHD方程组 正则性 弱解 

分 类 号：O175.2[理学—数学]