Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899080 | Journal of Differential Equations | 2018 | 26 Pages |
Abstract
It is shown in this paper that suitable weak solutions to the 6D steady incompressible Navier-Stokes and MHD equations are Hölder continuous near boundary provided that either râ3â«Br+|u(x)|3dx or râ2â«Br+|âu(x)|2dx 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].
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jitao Liu, Wendong Wang,