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Author:

Liu, Jitao (Liu, Jitao.) (Scholars:刘继涛) | Wang, Wendong (Wang, Wendong.)

Indexed by:

Scopus SCIE

Abstract:

It is shown in this paper that suitable weak solutions to the 6D steady incompressible Navier-Stokes and MHD equations are Holder continuous near boundary provided that either r(-3) integral(+)(Br) vertical bar u(x)vertical bar(3) dx or r(-2) integral(+)(Br) vertical bar del u(x)vertical bar(2) dx is sufficiently small, which implies that the 2D Hausdorff measure of the set of singular points near the boundary is zero. This generalizes recent interior regularity results by Dong-Strain [5]. (c) 2017 Elsevier Inc. All rights reserved.

Keyword:

MHD equations Boundary regularity Suitable weak solutions Navier-Stokes equations

Author Community:

  • [ 1 ] [Liu, Jitao]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Wendong]Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

Reprint Author's Address:

  • [Wang, Wendong]Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

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Source :

JOURNAL OF DIFFERENTIAL EQUATIONS

ISSN: 0022-0396

Year: 2018

Issue: 3

Volume: 264

Page: 2351-2376

2 . 4 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:63

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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