Remark on local boundary regularity condition of a suitable weak solution to the 3D MHD equations

被引:0
|
作者
Kim, Jae-Myoung [1 ]
机构
[1] Yonsei Univ, Ctr Math Anal & Computat, Seoul 03722, South Korea
关键词
magnetohydrodynamics equations; suitable weak solutions; local regularity condition; NAVIER-STOKES EQUATIONS; MAGNETOHYDRODYNAMIC EQUATIONS; CRITERIA; PRESSURE; TERMS;
D O I
10.14232/ejqtde.2019.1.32
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study a local regularity condition for a suitable weak solution of the magnetohydrodynamics equations in a half space R-+(3). More precisely, we prove that a suitable weak solution is Holder continuous near boundary provided that the quantity lim sup (r -> 0) 1/root r parallel to parallel to u parallel to(L2)((Bx,r+))parallel to(L infinity()(t-r2,t)()) is sufficiently small near the boundary. Furthermore, we briefly add some global regularity criteria of weak solutions to this system.
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页码:1 / 11
页数:11
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