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Partial Regularity for Stationary Navier-Stokes Systems by the Method of $$\mathcal{A}$$-Harmonic Approximation
Acta Mathematica Scientia ( IF 1.2 ) Pub Date : 2020-05-01 , DOI: 10.1007/s10473-020-0317-0
Yichen Dai , Zhong Tan

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.

中文翻译:

用$$\mathcal{A}$$-谐波逼近法求解平稳Navier-Stokes系统的偏正则性

在本文中,我们证明了在可控增长条件下具有亚二次增长的远离奇异静止 Navier-Stokes 系统的弱解的正则性结果。证明基于 $$\mathcal{A}$$-harmonic 近似技术。在本文中,我们将 Shuhong Chen 和 Zhong Tan [7] 以及 Giaquinta 和 Modica [18] 的结果扩展到具有次二次增长的平稳 Navier-Stokes 系统。
更新日期:2020-05-01
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