On Moffatt’s Magnetic Relaxation Equations

On Moffatt’s Magnetic Relaxation Equations

We investigate the stability properties for a family of equations introduced by Moffatt to model magnetic relaxation. These models preserve the topology of magnetic streamlines, contain a cubic nonlinearity, and yet have a favorable L 2 energy structure. We consider the local and global in time well...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in mathematical physics 2022-03, Vol.390 (3), p.1311-1339
Hauptverfasser: Beekie, Rajendra, Friedlander, Susan, Vicol, Vlad
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
Magnetic induction
Magnetic properties
Magnetic relaxation
Mathematical and Computational Physics
Mathematical models
Mathematical Physics
Norms
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Topology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We investigate the stability properties for a family of equations introduced by Moffatt to model magnetic relaxation. These models preserve the topology of magnetic streamlines, contain a cubic nonlinearity, and yet have a favorable L 2 energy structure. We consider the local and global in time well-posedness of these models and establish a difference between the behavior as t → ∞ with respect to weak and strong norms.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-021-04289-3