三维轴对称不可压MHD方程组解的正则性条件  

Regularity Criteria for Solutions to the Three-dimensional Axial Symmetric Incompressible MHD Equations

作　　者：王术[1] 吴继晖[1,2] 

机构地区：[1]北京工业大学应用数理学院,北京100124 [2]淮南师范学院数学系,安徽淮南232038

出　　处：《北京工业大学学报》2015年第2期299-307,共9页Journal of Beijing University of Technology

基　　金：北京市自然科学基金资助项目(00600056312506);国家自然科学基金资助项目(11371042)

摘　　要：为了研究解的正则性,研究了带旋涡的轴对称三维不可压MHD方程组.考虑2类特殊的MHD方程组的光滑弱解:uθ=0、Br=Bz=0和Br=Bz=0,通过采用能量法、Sobolev嵌入法等,证明了如果速度场的径向方向分量ur满足一定条件,则可得到这2类三维不可压的轴对称MHD方程组弱解的正则性.To study the regularity criteria of solutions, the three-dimensional axially symmetric incompressible magnetohydrodynamics （ MHD ） equations with swirl are presented. Two types of particular weak solutions to the three-dimensional axially symmetric incompressible MHD equations uθ =0, Br=Bz=0, and Br=Bz=0 are considered. By using the energy method and the embedding method, the regularity criteria for the two types of weak solutions to the three-dimensional axially symmetric incompressible MHD equations are obtained if the radial direction component ur satisfies some conditions.

关 键 词：三维 不可压 轴对称 正则性 

分 类 号：O175.29[理学—数学]