标题:A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations
作者:Xu, Fuyi; Li, Xinliang; Cui, Yujun; Wu, Yonghong
作者机构:[Xu, Fuyi; Li, Xinliang] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China.; [Cui, Yujun] Shandong Univ Sci & Technol, Dept App 更多
通讯作者:Xu, Fuyi
通讯作者地址:[Xu, FY]Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China.
来源:ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
出版年:2017
卷:68
期:6
DOI:10.1007/s00033-017-0874-9
关键词:MHD equations; Scaling invariant; Regularity criterion
摘要:In this paper, we are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations. We show that if any two groups functions of (partial derivative(1)u(1), partial derivative(1)b(1)), (partial derivative(2)u(2), partial derivative(2)b(2)) and (partial derivative(3)u(3), partial derivative(3)b(3)) belong to the space L-theta([0, T); L-r(R-3)), 2/theta + 3/r = 2, 3/2 < r <= infinity, then the solution (u, b) to the MHD equations actually is smooth on (0, T).
收录类别:EI;SCIE
WOS核心被引频次:1
资源类型:期刊论文
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