On the Boundary Regularity of Weak Solutions to the MHD System
V. Vyalov, T. Shilkin
TL;DR
This paper establishes partial boundary regularity results for weak solutions to the magnetohydrodynamics (MHD) system, advancing understanding of solution behavior near boundary regions.
Contribution
It provides new partial regularity results for boundary suitable weak solutions to the MHD system, a topic previously less understood.
Findings
Proved partial regularity near boundary regions.
Extended regularity theory to MHD boundary problems.
Enhanced understanding of weak solution behavior at boundaries.
Abstract
We prove the partial regularity of the boundary suitable weak solutions to the MHD system near the plane part of the boundary.
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Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Nonlinear Partial Differential Equations