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论文类型： 期刊论文

发表时间： 2018-02-05

发表刊物： JOURNAL OF DIFFERENTIAL EQUATIONS

收录刊物： SCIE

卷号： 264

期号： 3

页面范围： 2351-2376

ISSN号： 0022-0396

关键字： Navier-Stokes equations; MHD equations; Suitable weak solutions; Boundary regularity

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.