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arXiv · 2002.11530

A class of global large, smooth solutions for the magnetohydrodynamics with the Hall and ion-slip effects

Huali Zhang
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Abstract

In this paper, the Cauchy's problem for fractional MHD system with the Hall and ion-slip effects is considered. By exploring the structure of semilinear and quasilinear terms, we prove the global existence of solutions for a class of large initial data. Both the velocity and magnetic fields could be arbitrarily large in $H^3(\mathbb{R}^3)$.

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Huali Zhang. 2020-02-25. A class of global large, smooth solutions for the magnetohydrodynamics with the Hall and ion-slip effects. https://arxiv.org/abs/2002.11530

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