Walls in infinite bent ferromagnetic nanowires
Abdel Kader Al Sayed, Gilles Carbou · Annales de la faculté des sciences de Toulouse Mathématiques · 2019
We study a one-dimensional model for a bent ferromagnetic nanowire. We prove the existence of static solutions describing either one domain or two domains separated by a wall. We address the stability of these solutions. In particular, we show that the asymptotically stable wall profiles are pinned at the bend even in presence of a small applied magnetic field.