Remarks on the regularity criterion to the Navier-Stokes equations via the gradient of one velocity component

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:435

Article

Ye, Zhuan¹ 

[1] Beijing Normal Univ, Minist Educ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China

关键词: Regularity criterion;    Navier-Stokes equations;   

DOI  :  10.1016/j.jmaa.2015.11.037

来源: Elsevier

【 摘 要 】

In this paper, we consider the classical three-dimensional (3D) incompressible Navier-Stokes equations. By making use of a new anisotropic Sobolev inequality, we improve a regularity criterion for the weak solution to the 3D Navier-Stokes equations involving the gradient of one velocity component. This result improves the previous work of Zhou and Pokorny (2010). (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free