Well-posedness of the electron MHD with partial resistivity

Mimi Dai; Hassan Babaei

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arXiv · 2503.18149

Well-posedness of the electron MHD with partial resistivity

Mimi Dai·Hassan Babaei

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Abstract

Due to the singular nonlinear Hall term, the non-resistive electron magnetohydrodynamics (MHD) is not known to be locally well-posed in general. In this paper we consider the $2\frac12$D electron MHD with either horizontal or vertical resistivity and show local well-posedness in Sobolev spaces.

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Mimi Dai, Hassan Babaei. 2025-03-23. Well-posedness of the electron MHD with partial resistivity. https://arxiv.org/abs/2503.18149

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