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arXiv · 2507.18195

The magnetohydrodynamical system in bounded non smooth domains of dimension $n\ge3$

Sylvie Monniaux
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Abstract

Existence of mild solutions for the magnetohydrodynamical system in C 1 domains is established in critical spaces in dimension n $\ge$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.

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Sylvie Monniaux. 2025-07-24. The magnetohydrodynamical system in bounded non smooth domains of dimension $n\ge3$. https://arxiv.org/abs/2507.18195

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