The magnetohydrodynamical system in bounded non smooth domains of dimension $n\ge3$
Analysis of PDEs
2026-02-20 v2
Abstract
Existence of mild solutions for the magnetohydrodynamical system in C 1 domains is established in critical spaces in dimension n 3. The proof relies on recent regularity results on the Stokes operator in C 1 domains and a Leibniz-like formula for differential forms proved here in Section 2.
Keywords
Cite
@article{arxiv.2507.18195,
title = {The magnetohydrodynamical system in bounded non smooth domains of dimension $n\ge3$},
author = {Sylvie Monniaux},
journal= {arXiv preprint arXiv:2507.18195},
year = {2026}
}