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