On partial regularity for the 3D non-stationary Hall magnetohydrodynamics equations on the plane

2015/02/11 by Dongho Chae, Chae, Dongho, Joerg Wolf +1 · 1 citation
Mathematics · #35Q35 #35Q85 #76W05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1502.03474

openalex publication_date 2015/02/11 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We study partial regularity of weak solutions of the 3D valued non-stationary Hall magnetohydrodynamics equations on \Bbb R². 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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• Non-uniqueness of weak solutions to the 3D Hall-MHD equations on the plane

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