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.

引用

页数：28

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