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The regularity criterion for the 3D Navier–Stokes equations involving end-point Prodi–Serrin type conditions

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First Author : Chenyin Qian

Date of Publication : 2018-01-01

Journal : Applied Mathematics Letters

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.75

Page Number : 37-42

ISSN : 0893-9659

Key Words : 3D Navier–Stokes equations;Weak solution;End-point regularity criterion

Abstract : We consider the Prodi–Serrin type regularity criterion involving ∂ 3 u h and the third component of velocity (or the gradient of velocity). In particular, if the ∂ 3 u h satisfies the end-point Prodi–Serrin type condition, one can show that Leray’s weak s

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