Remark on local boundary regularity condition of suitable weak solutions to the 3D MHD equations

We study a local regularity condition for a suitable weak solution of the magnetohydrodynamics equations in a half space $\mathbb{R}^3_+$. More precisely, we prove that a suitable weak solution is Hölder continuous near boundary provided that the quantity \[ \limsup_{r\rightarrow 0}\frac{1}{\sqrt{r}...

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Bibliographic Details
Main Author: Jae-Myoung Kim
Format: Article
Language:English
Published: University of Szeged 2019-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7420