A new sufficient condition for local regularity of a suitable weak solution to the MHD equations

被引：2
|
作者：
Neustupa, Jiri [1 ]
Yang, Minsuk [2 ]
机构：
[1] Acad Sci Czech Republ, Inst Math, Zitna 25, Prague 11567 1, Czech Republic
[2] Yonsei Univ, Dept Math, 50 Yonseiro, Seoul, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 502卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
MHD equations; Regularity; Blow-up; NAVIER-STOKES EQUATIONS; ONE CURRENT-DENSITY; GLOBAL REGULARITY; ONE VELOCITY; MAGNETOHYDRODYNAMICS EQUATIONS; CRITERIA; TERMS;
D O I：
10.1016/j.jmaa.2021.125258
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We assume that Omega is either the whole space R-3 or a half-space or a smooth bounded or exterior domain in R-3, T > 0 and (u, b, p) is a suitable weak solution of the MHD equations in Omega x (0, T). We show that (x(0), t(0)) is an element of Omega x (0, T) is a regular point of the solution (u, b, p) if the limit inferior (for t -> t(0)-) of the sum of the L-3-norms of u and b over an arbitrarily small ball B-rho(x(0)) is less than infinity. (C) 2021 Elsevier Inc. All rights reserved.
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页数：28
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