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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.
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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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