Global regularity for the 3D Hall-MHD equations with low regularity axisymmetric data

2021/05/06 by Li, Zhouyu, Liu, Pan · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.02419

Abstract

In this paper, we consider the global well-posedness of the incompressible Hall-MHD equations in ℝ³. We prove that the solution of this system is globally regular if the initial data is axisymmetric and the swirl components of the velocity and magnetic vorticity are trivial. It should be pointed out that the initial data without any smallness and in low regularity spaces. This improves a previous result established in \citeFan2013.

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• Lifespan of the Non-resistive Hall-MHD System with Small Magnetic Gradient

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