PARTIAL REGULARITY OF SOLUTIONS TO THE FRACTIONAL NAVIER-STOKES EQUATIONS

被引：9

作者：

Chen, Yukang ^{[1
]}

Wei, Changhua ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 10期

关键词：

Navier-Stokes; fractional laplacian; partial regularity; suitable weak solution; Hausdorff measure; SUITABLE WEAK SOLUTIONS; GLOBAL REGULARITY; PROOF;

D O I：

10.3934/dcds.2016033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the partial regularity of suitable weak solutions to the Navier-Stokes equations with fractional dissipation root-Delta(s) in the critical case of s - 3/2. We show that the two dimensional Hausdorff measure of space-time singular set of these solutions is zero.

引用

页码：5309 / 5322

页数：14

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