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arXiv · 1505.01254

On partial regularity for the steady Hall magnetohydrodynamics system

Dongho Chae·Joerg Wolf
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Abstract

We study partial regularity of suitable weak solutions of the steady Hall magnetohydrodynamics equations in a domain $Ω\subset \Bbb R^3$. In particular we prove that the set of possible singularities of the suitable weak solution has Hausdorff dimension at most one. Moreover, in the case $Ω=\Bbb R^3$, we show that the set of possible singularities is compact.

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Dongho Chae, Joerg Wolf. 2015-05-06. On partial regularity for the steady Hall magnetohydrodynamics system. https://doi.org/10.1007/s00220-015-2429-2

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