| Issue |
ESAIM: M2AN
Volume 59, Number 2, March-April 2025
|
|
|---|---|---|
| Page(s) | 925 - 954 | |
| DOI | https://doi.org/10.1051/m2an/2025008 | |
| Published online | 02 April 2025 | |
Stabilization of walls in notched ferromagnetic nanowires
1
Universite de Pau et des Pays de l’Adour, CNRS, LMAP, Pau, France
2
Institut de Mathématiques de Toulouse; UMR5219, Université de Toulouse; CNRS, INSA, 31077 Toulouse, France
* Corresponding author: david.sanchez@math.univ-toulouse.fr
Received:
27
June
2024
Accepted:
24
January
2025
In this paper, we study a one-dimensional model of ferromagnetic nanowire featuring notches. We prove the existence of stable wall profiles even under a small applied magnetic field, with the walls localized in notches. Moreover, in order to illustrate domain-wall depinning by an applied magnetic field, we prove the non-existence of stationary wall profiles in the presence of a large applied magnetic field.
Mathematics Subject Classification: 35K55 / 35Q60
Key words: Landau–Lifshitz equation / ferromagnetism / nanowire / stability
© The authors. Published by EDP Sciences, SMAI 2025
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