Stabilization of walls for nano-wires of finite length

Gilles Carbou (1) , Stéphane Labbé (2)

1 MAB - Laboratoire de Mathématiques Appliquées de Bordeaux
2 EDP - Equations aux Dérivées Partielles

In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.

Mots clés: Control; micromagnetism; stabilization; non linear PDEs

Domaines: Analyse numérique [math.NA]

Gilles Carbou, Stéphane Labbé. Stabilization of walls for nano-wires of finite length. ESAIM: Control, Optimisation and Calculus of Variations, 2012, 18 (1), pp.1-21. ⟨10.1051/cocv/2010048⟩. ⟨hal-00369556v2⟩