Stability of Steady States in Ferromagnetic Rings

Gilles Carbou (1) , M Moussaoui (2) , R Rachi (2, 1)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
2 Laboratoire d"équations aux dérivées partielles non linéaires et histoire des mathématiques

In this paper we consider a one-dimensional model of ferromagnetic rings taking into account curvature and anisotropy effects. We describe relevant stationary configurations of the magnetization and we investigate their stability in the Liapunov sense.

Domaines: Equations aux dérivées partielles [math.AP]

Gilles Carbou, M Moussaoui, R Rachi. Stability of Steady States in Ferromagnetic Rings. Journal of Mathematical Physics, 2022, 63 (3), ⟨10.1063/5.0070054⟩. ⟨hal-03534474⟩