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arXiv · 1906.02284

On well-posedness of generalized Hall-magneto-hydrodynamics

Mimi Dai·Han Liu
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Abstract

We obtain local well-posedness result for the generalized Hall-magneto-hydrodynamics system in Besov spaces ${\dot B^{-(2α_1-γ)}_{\infty, \infty}} \times {\dot B^{-(2α_2-β)}_{\infty,\infty}(\mathbb R^3)}$ with suitable indexes $α_1, α_2, β$ and $γ.$ As a corollary, the generalized electron magneto-hydrodynamics system is globally well-posed in ${\dot B^{-(2α_2-2)}}_{\infty, \infty}(\mathbb R^3)$ for small initial data.

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Mimi Dai, Han Liu. 2019-09-11. On well-posedness of generalized Hall-magneto-hydrodynamics. https://arxiv.org/abs/1906.02284

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