Localized Anisotropic Regularity Conditions for the Navier-Stokes Equations

被引：6
|
作者：
Kukavica, Igor [1 ]
Rusin, Walter [2 ]
Ziane, Mohammed [1 ]
机构：
[1] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA
[2] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
来源：
JOURNAL OF NONLINEAR SCIENCE | 2017年 / 27卷 / 06期
关键词：
Navier-Stokes equations; Conditional regularity; Partial regularity; WEAK SOLUTIONS; CRITERION; PROOF;
D O I：
10.1007/s00332-017-9382-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish a sufficient regularity condition for local solutions of the Navier-Stokes equations. For a suitable weak solution (u, p) on a domain D we prove that if belongs to the space where and , then the solution is Holder continuous in D.
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页码：1725 / 1742
页数：18
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