Well-posedness of the electron MHD with partial resistivity

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-23
Primary Topic
Advanced Mathematical Physics Problems
Type
article
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article

Well-posedness of the electron MHD with partial resistivity

ArXiv.org
Advanced Mathematical Physics Problems
article

Well-posedness of the electron MHD with partial resistivity

article en

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.

ArXiv.org
Openalex Percentile: Top 47%
Advanced Mathematical Physics Problems
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Well-posedness of the electron MHD with partial resistivity · ArXiv.org (2025) | TGRS Research Map | TGRS