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

Kim, Jae-Myoung: Remark on local boundary regularity condition of a suitable weak solution to the 3D MHD equations. Electronic journal of qualitative theory of differential equations 32. pp. 1-11. (2019)

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Abstract

We study a local regularity condition for a suitable weak solution of the magnetohydrodynamics equations in a half space R3 +. More precisely, we prove that a suitable weak solution is Hölder continuous near boundary provided that the quantity lim sup r→0 1 r kukL 2(B x,r) L∞(t−r 2,t) is sufficiently small near the boundary. Furthermore, we briefly add some global regularity criteria of weak solutions to this system.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 32
Page Range: pp. 1-11
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2019.1.32
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 9-11. ; összefoglalás angol nyelven
Date Deposited: 2019. Sep. 27. 12:18
Last Modified: 2019. Sep. 27. 13:23
URI: http://acta.bibl.u-szeged.hu/id/eprint/62110

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