A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces

被引：1

作者：

Zhu, Xiang'ou ^{[1
,2
]}

机构：

[1] Wenzhou Univ, Coll Phys & Elect Informat Engn, Wenzhou 325035, Zhejiang, Peoples R China

[2] Key Lab Low Voltage Apparat Intellectual Technol, Wenzhou 325035, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

WEAK SOLUTIONS; SCHRODINGER OPERATOR; PRESSURE; TERMS; BOUNDEDNESS;

D O I：

10.1155/2012/682436

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We exhibit a regularity condition concerning the pressure gradient for the Navier-Stokes equations in a special class. It is shown that if the pressure gradient belongs to L-2/(2 r) ((0, T); M(H-r (R-3) -> H-r (R-3))), where M(H-r (R-3) -> H-r (R-3)) is the multipliers between Sobolev spaces whose definition is given later for 0 < r < 1, then the Leray-Hopf weak solution to the Navier-Stokes equations is actually regular.

引用

页数：7

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