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A remark on the global regularity for the 3D Navier–Stokes equations

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First Author : Chenyin Qian

Date of Publication : 2016-01-01

Journal : Applied Mathematics Letters

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.57

Page Number : 126-131

ISSN : 0893-9659

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

Abstract : In this paper, we investigate the case of Prodi–Serrin type regularity criterion involving u 3  and ∂ 3 u h  . More precisely, it is shown that Leray’s weak solutions of the three-dimensional Navier–Stokes equations become regular if the third component o

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