Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2018-02-01

Journal: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 458

Issue: 1

Page Number: 497-507

ISSN: 0022-247X

Key Words: 3D Navier Stokes equations; Leray-Hopf weak solution; Regularity criteria; Anisotropic Lebesgue spaces

Abstract: In this paper, we investigate the global regularity of Leray-Hopf weak solutions to the 3D Navier-Stokes equations in terms of pressure. In particular, we establish three Serrin-type regularity criteria in framework of the anisotropic Lebesgue spaces. Our result can be understood as a generalization of the notable works of Y. Zhou (2006) [23], C. Cao and E. Titi (2008) [5], and Y. Zhou and M. PokornS, (2010) [24]. (C) 2017 Published by Elsevier Inc.