PARTIAL REGULARITY FOR STATIONARY NAVIER-STOKES SYSTEMS BY THE METHOD OF A-HARMONIC APPROXIMATION

被引：0

作者：

戴祎琛 ^{[1
]}

谭忠 ^{[2
]}

机构：

[1] School of Mathematical Sciences, Xiamen University

[2] School of Mathematical Science and Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Scientific Computing, Xiamen University

来源：

ActaMathematicaScientia | 2020年 / 40卷 / 03期

关键词：

Stationary Navier-Stokes systems; controllable growth condition; partial regularity; A-harmonic approximation;

D O I：

暂无

中图分类号：

O175.2 [偏微分方程];

学科分类号：

070104 ;

摘要：

In this article, we prove a regularity result for weak solutions away from singular set of stationary Navier-Stokes systems with subquadratic growth under controllable growth condition. The proof is based on the A-harmonic approximation technique. In this article,we extend the result of Shuhong Chen and Zhong Tan [7] and Giaquinta and Modica [18] to the stationary Navier-Stokes system with subquadratic growth.

引用

页码：835 / 854

页数：20

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