Articles

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

  • Yichen DAI ,
  • Zhong TAN
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  • 1 School of Mathematical Sciences, Xiamen University, Fujian 361005, China;
    2 School of Mathematical Science and Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Scientific Computing, Xiamen University, Fujian 361005, China

Received date: 2019-02-11

  Online published: 2020-07-17

Abstract

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.

Cite this article

Yichen DAI , Zhong TAN . PARTIAL REGULARITY FOR STATIONARY NAVIER-STOKES SYSTEMS BY THE METHOD OF A-HARMONIC APPROXIMATION[J]. Acta mathematica scientia, Series B, 2020 , 40(3) : 835 -854 . DOI: 10.1007/s10473-020-0317-0

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