Electroconvection in a Magnetic Field
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909731241590784 |
|---|---|
| author | Abdo, Elie Constantin, Peter Ignatova, Mihaela Lin, Quyuan |
| author_facet | Abdo, Elie Constantin, Peter Ignatova, Mihaela Lin, Quyuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07439 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Electroconvection in a Magnetic Field Abdo, Elie Constantin, Peter Ignatova, Mihaela Lin, Quyuan Analysis of PDEs 35Q35, 35R11, 78A25 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. |
| title | Electroconvection in a Magnetic Field |
| topic | Analysis of PDEs 35Q35, 35R11, 78A25 |
| url | https://arxiv.org/abs/2508.07439 |