English

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

Analysis of PDEs 2018-03-28 v1

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 Hs(Rd)H^s(\mathbb{R}^d), s>1+d2s>1+\frac{d}{2}.

Keywords

Cite

@article{arxiv.1803.09373,
  title  = {The continuous dependence for the Hal-MHD equations with fractional magnetic diffusion},
  author = {Dingxing Zhong and Jinlu Li and Xing Wu},
  journal= {arXiv preprint arXiv:1803.09373},
  year   = {2018}
}

Comments

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R2 v1 2026-06-23T01:04:36.640Z