ON REGULARITY FOR THE NAVIER-STOKES EQUATIONS IN MORREY SPACES

被引：3

作者：

Kukavica, Igor ^{[1
]}

机构：

[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 26卷 / 04期

关键词：

Navier-Stokes equation; partial regularity; Morrey space; WEAK SOLUTIONS; INTERIOR REGULARITY; SYSTEM;

D O I：

10.3934/dcds.2010.26.1319

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let u be a local weak solution of the Navier-Stokes system in a space-time domain D subset of R-n x R. We prove that for every q > 3 there exist epsilon > 0 with the following property: If (x(0), t(0)) is an element of D and if there exists r(0) > 0 such that [GRAPHICS] then the solution u is regular in a neighborhood of (x(0), t(0)). There is no assumption on the integrability of the pressure or the vorticity

引用

页码：1319 / 1328

页数：10

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