Regularity of the 3D Navier-Stokes equations with viewpoint of 2D flow

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:264

Article

Bae, Hyeong-Ohk¹ 

[1] Ajou Univ, Dept Financial Engn, 206,World Cup Ro, Suwon 443749, Gyeonggi Do, South Korea

关键词: Regularity;    3D flow;    2D flow;    Axisymmetric flow;    Swirl;   

DOI  :  10.1016/j.jde.2017.12.026

来源: Elsevier

【 摘 要 】

The regularity of 2D Navier-Stokes flow is well known. In this article we study the relationship of 3D and 2D flow, and the regularity of the 3D Naiver-Stokes equations with viewpoint of 2D equations. We consider the problem in the Cartesian and in the cylindrical coordinates. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free