Electroconvection in a magnetic field
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 $ L^{\infty} $ data. We show that for strong enough magnetic fields, $ L^{\infty} $-small solutions are smooth globally in time and they obey surface quasigeostrophic equations in the limit of infinite magnetic field strength.
Fields of Study & Subjects
Navier-Stokes equation solutions
Nanofluid Flow and Heat Transfer
Fluid Dynamics and Thin Films
Publication details
- Journal / source
- Discrete and Continuous Dynamical Systems
- Volume
- 54
- Issue
- 0
- Pages
- 61–86
- Publication date
- 1 January 2026