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

作　　者：Yichen DAI Zhong TAN 戴祎琛;谭忠(School of Mathematical Sciences,Xiamen University,Fujian 361005,China;School of Mathematical Science and Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Scientific Computing,Xiamen University,Fujian 361005,China)

机构地区：[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

出　　处：《Acta Mathematica Scientia》2020年第3期835-854,共20页数学物理学报（B辑英文版）

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.

关 键 词：Stationary Navier-Stokes systems controllable growth condition partial regularity A-harmonic approximation 

分 类 号：O175.2[理学—数学]