Variational methods for topological patterns arising in physics

Existence and uniqueness of a domain wall for notched ferromagnetic nanowires

26 nov. 2025, 11:30

45m

Conference Room of INdAM (Istituto Nazionale di Alta Matematica (INdAM))

Orateur

Clémentine Courtes (Strasbourg)

Description

In this talk, we study a ferromagnetic nanowire with a defect, represented as a single, unimodal notch. Using a mountain-path argument, we establish the existence and uniqueness of a critical point for the ferromagnetic energy associated with this model. This critical point corresponds to a topological solution (a single domain wall) localized in the vicinity of the notch. This work allows the results [Carbou 2020, Carbou&Sanchez 2018, Ignat 2022] to be reinterpreted using the framework of the calculus of variations.
This is a joint work with Raphaël Côte, Guillaume Ferrière, Ludovic Godard-Cadillac and Yannick Privat.