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A generalized regularity criterion for 3D Navier–Stokes equations in terms of one velocity component

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First Author : Chenyin Qian

Date of Publication : 2016-01-01

Journal : Journal of Differential Equations

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.260

Issue : No.4

Page Number : 3477-3494

ISSN : 0022-0396

Key Words : 3D;Navier–Stokes;equations;Leray–Hopf;weak;solution;Regularity;criterion

Abstract : In this article, we study the global regularity of the 3D Navier–Stokes equations in terms of one velocity component. In particular, we establish a new version of regularity criterion in the framework of the anisotropic Lebesgue space. It is a generalizat

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