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

doi:10.1007/s10473-020-0317-0

Abstract

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.

Key words: Stationary Navier-Stokes systems, controllable growth condition, partial regularity, A-harmonic approximation

CLC Number:

35J60

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.

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