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Indexed by:期刊论文

Date of Publication:2018-02-01

Journal:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals:SCIE、Scopus

Volume:458

Issue:1

Page Number:497-507

ISSN No.: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.