Work

Well-Posedness of the Electron MHD with Partial Resistivity

Year: 2026

Type: article

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 $$2\frac{1}{2}$$ 2 1 2 D electron MHD with either horizontal or vertical resistivity and show local well-posedness in Sobolev spaces.

Source: La Matematica

DOI: 10.1007/s44007-026-00223-y

Authors: Hassan Babaei, Mimi Dai

Institution: University of Illinois Chicago

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: National Science Foundation