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On Partial Regularity for the 3D Nonstationary Hall Magnetohydrodynamics Equations on the Plane

Dongho Chae, Jörg Wolf

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Source: Crossref

Published: Jan 1, 2016

DOI: 10.1137/15m1012037

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Source abstract

We study partial regularity of weak solutions of the three-dimensional (3D) valued nonstationary Hall magnetohydrodynamics equations on R2\mathbb{R}^2. In particular, we prove the existence of a weak solution whose set of possible singularities has the space-time Hausdorff dimension at most two.

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