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arXiv · 1803.09373

The continuous dependence for the Hal-MHD equations with fractional magnetic diffusion

Dingxing Zhong·Jinlu Li·Xing Wu
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Abstract

In this paper we show that the solutions to the incompressible Hall-MHD system with fractional magnetic diffusion depend continuously on the initial data in $H^s(\mathbb{R}^d)$, $s>1+\frac{d}{2}$.

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Dingxing Zhong, Jinlu Li, Xing Wu. 2018-03-26. The continuous dependence for the Hal-MHD equations with fractional magnetic diffusion. https://arxiv.org/abs/1803.09373

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