| Issue |
ESAIM: M2AN
Volume 59, Number 2, March-April 2025
|
|
|---|---|---|
| Page(s) | 671 - 690 | |
| DOI | https://doi.org/10.1051/m2an/2025001 | |
| Published online | 14 February 2025 | |
Domain wall dynamics in notched ferromagnetic nanowires
1
Universite de Pau et des Pays de l’Adour, E2S UPPA, CNRS, LMAP, Pau, France
2
LaMA, Laboratoire de Mathématiques et Applications, Lebanese University, Tripoli, Lebanon
* Corresponding author: gilles.carbou@univ-pau.fr
Received:
21
June
2024
Accepted:
9
January
2025
We study the dynamics of magnetization reversals, known as walls, in a notched ferromagnetic nanowire. The model used is the Landau–Lifschitz equation in dimension 1, with a weight representing the notch. Despite the pinning properties of notches, we establish in this article that when the applied field tends to push the wall far away from the notch, pinning effects are negligible, and wall dynamics are asymptotically close to those in an unnotched wire.
Mathematics Subject Classification: 35K55 / 35Q60
Key words: Ferromagnetic nanowire / Landau–Lifshitz equation / asymptotic stability
© The authors. Published by EDP Sciences, SMAI 2025
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