Electroconvection in a Magnetic Field
Analysis of PDEs
2025-08-12 v1
Abstract
Electroconvection in a porous medium under a strong transversal magnetic field is described by an active scalar equation for the charge density. The equation has global weak solutions with data. We show that for strong enough magnetic fields, -small solutions are smooth globally in time and they obey surface quasigeostrophic equations in the limit of infinite magnetic field strength.
Cite
@article{arxiv.2508.07439,
title = {Electroconvection in a Magnetic Field},
author = {Elie Abdo and Peter Constantin and Mihaela Ignatova and Quyuan Lin},
journal= {arXiv preprint arXiv:2508.07439},
year = {2025}
}