Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data

2021/01/13 by Ai, Xiaolian, Li, Zhouyu
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2101.04873

Abstract

The purpose of this paper is to study the incompressible non-resistive MHD equations in ℝ³. We establish the global well-posedness of classical solutions if the initial data is axially symmetric and the swirl components of the velocity and magnetic vorticity vanish. In particular, the special axially symmetric initial data can be arbitrarily large and satisfy low regularity assumptions.

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