Regularity Criteria for Weak Solutions to the Navier-Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity

被引：1

作者：

Neustupa, Jiri ^{[1
]}

Penel, Patrick ^{[2
]}

Yang, Minsuk ^{[3
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, Zitna 25, Prague 11567 1, Czech Republic

[2] Univ Sud Toulon Var, La Garde, France

[3] Yonsei Univ, Dept Math, Seoul 03722, South Korea

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2022年 / 24卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Navier-Stokes equations; Weak solution; Regularity criteria; Vorticity; OPERATOR;

D O I：

10.1007/s00021-022-00728-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with a weak solution v to the Navier-Stokes initial value problem in R-3 x (0, T), that satisfies the strong energy inequality. We impose conditions on certain spectral projections of omega:= curly or just v, and we prove the regularity of solution v. The spectral projection is defined by means of the spectral resolution of identity associated with the self-adjoint operator curl.

引用

页数：12

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