Partial Regularity for Stationary Navier-Stokes Systems by the Method of $$\mathcal{A}$$-Harmonic Approximation

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 $$\mathcal{A}$$ -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.