On the local smoothness of weak solutions to the MHD system near the boundary

TL;DR

This paper establishes conditions under which weak solutions to the magnetohydrodynamics (MHD) system are locally regular near a boundary, enhancing understanding of boundary behavior in MHD flows.

Contribution

It provides new sufficient conditions for local regularity of weak solutions to the MHD system near boundary regions.

Findings

Identified conditions ensuring boundary regularity of weak solutions

Extended regularity results to boundary-adjacent solutions

Improved understanding of boundary effects in MHD systems

Abstract

We prove some sufficient conditions of local regularity of the siutable weak solutions to the system of magnetohydrodynamics near the plane part of the boundary.