三维MHD方程轴对称弱解的正则准则  

Regularity Criteria of Axisymmetric Weak Solutions to the 3D MHD Equations

作　　者：陈芳如 CHEN Fangru(College of Mathematics and Physics,Wenzhou University,Wenzhou,China 325035)

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）》2022年第1期25-33,共9页Journal of Wenzhou University(Natural Science Edition)

摘　　要：研究了具有非零旋流分量的三维不可压缩MHD方程轴对称解的正则性.结果表明,当三维MHD方程的涡量分量满足时ω^(θ)∈L^(1)(0,T,B^(0)_(∞,∞)),方程的弱解是光滑的.This paper investigates the regularity criteria of axisymmetric solutions to the three dimensional incompressible MHD equations with nonzero swirl component.Results show that weak solutions to the 3 D MHD equations become regular if the vorticity component satisfies that ω^(θ)∈L^(1)(0,T,B^(0)_(∞,∞)).

关 键 词：MHD方程组 正则性准则 轴对称 BESOV空间 

分 类 号：O175[理学—数学]