Open Access
| 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 | |
- A. Al Sayed, G. Carbou and S. Labbé, Asymptotic model for twisted bent ferromagnetic wires with electric current. Z. Angew. Math. Phys. 70 (2019) 1–15. [CrossRef] [Google Scholar]
- A.L. Bertozzi, A. Münch, M. Shearer and K. Zumbrun, Stability of compressive and undercompressive thin film travelling waves. Eur. J. Appl. Math. 12 (2001) 253–291. [CrossRef] [Google Scholar]
- G. Carbou, Stability of static walls for a three-dimensional model of ferromagnetic material. J. Math. Pures Appl. 93 (2010) 183–203. [CrossRef] [MathSciNet] [Google Scholar]
- G. Carbou, Domain walls dynamics for one dimensional models of ferromagnetic nanowires. Diff. Integral Equ. 26 (2013) 201–236. [Google Scholar]
- G. Carbou and S. Labbé, Stability for static walls in ferromagnetic nanowires. Discrete Continuous Dyn. Syst. – B 6 (2006) 273–290. [Google Scholar]
- G. Carbou and S. Labbé, Stabilization of walls for nano-wires of finite length. ESAIM Control Optim. 18 (2012) 1–21. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
- G. Carbou and D. Sanchez, Stabilization of walls in notched ferromagnetic nanowires. hal-01810144 (2018). [Google Scholar]
- R. C^ote and R. Ignat, Asymptotic stability of precessing domain walls for the Landau–Lifshitz–Gilbert equation in a nanowire with Dzyaloshinskii–Moriya interaction. Comm. Math. Phys. 401 (2023) 2901–2957. [CrossRef] [MathSciNet] [Google Scholar]
- S. Fukami, M. Yamanouchi, S. Ikeda and H. Ohno, Depinning probability of a magnetic domain wall in nanowires by spin-polarized currents. Nat. Commun. 4 (2013) 2293. [CrossRef] [Google Scholar]
- R. Jizzini, Optimal stability criterion for a wall in a ferromagnetic wire in a magnetic field. J. Differ. Equ. 250 (2011) 3349–3361. [CrossRef] [Google Scholar]
- G. Malinowski, O. Boulle and M. Kl¨aui, Current-induced domain wall motion in nanoscale ferromagnetic elements. Mater. Sci. Eng. R 72 (2011) 159–187. [CrossRef] [Google Scholar]
- S.S.P. Parkin, M. Hayashi and L. Thomas, Magnetic domain-wall racetrack memory. Science 320 (2008) 190–194. [CrossRef] [PubMed] [Google Scholar]
- O.V. Pylypovskyi, D.D. Sheka, V.P. Kravchuk, K.V. Yershov, D. Makarov and Y. Gaididei, Rashba torque driven domain wall motion in magnetic helices. Sci. Rep. 6 (2016) 23316. [CrossRef] [Google Scholar]
- V. Roussier, Stability of radially symmetric travelling waves in reaction–diffusion equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 21 (2004) 341–379. [CrossRef] [MathSciNet] [Google Scholar]
- D. Sanchez, Behaviour of the Landau–Lifschitz equation in a ferromagnetic wire. Math. Methods Appl. Sci. 32 (2009) 167–205. [CrossRef] [MathSciNet] [Google Scholar]
- D.D. Sheka, V.P. Kravchuk, K.V. Yershov and Y. Gaididei, Torsion-induced effects in magnetic nanowires. Phys. Rev. B 92 (2015) 054417. [CrossRef] [Google Scholar]
- K. Takasao, Stability of travelling wave solutions for the Landau–Lifshitz equation. Hiroshima Math. J. 41 (2011) 367–388. [CrossRef] [MathSciNet] [Google Scholar]
- H.Y. Yuan and X.R. Wang, Domain wall pinning in notched nanowires. Phys. Rev. B 89 (2014) 054423. [CrossRef] [Google Scholar]
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