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作者:

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

收录:

Scopus SCIE

摘要:

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.

关键词:

Boundary regularity MHD equations Navier-Stokes equations Suitable weak solutions

作者机构:

  • [ 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

通讯作者信息:

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

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来源 :

JOURNAL OF DIFFERENTIAL EQUATIONS

ISSN: 0022-0396

年份: 2018

期: 3

卷: 264

页码: 2351-2376

2 . 4 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:34

JCR分区:1

被引次数:

WoS核心集被引频次: 4

SCOPUS被引频次: 3

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

近30日浏览量: 3

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