تقرير
Nonlinear Stability of Static N\'eel Walls in Ferromagnetic Thin Films
| العنوان: | Nonlinear Stability of Static N\'eel Walls in Ferromagnetic Thin Films |
|---|---|
| المؤلفون: | Capella, A., Melcher, C., Morales, L., Plaza, R. G. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematics - Spectral Theory, 35B35, 35B40, 35S10 |
| الوصف: | In this paper, the nonlinear (orbital) stability of static 180^\circ N\'eel walls in ferromagnetic films, under the reduced wave-type dynamics for the in-plane magnetization proposed by Capella, Melcher and Otto [CMO07], is established. It is proved that the spectrum of the linearized operator around the static N\'eel wall lies in the stable complex half plane with non-positive real part. This information is used to show that small perturbations of the static N\'eel wall converge to a translated orbit belonging to the manifold generated by the static wall. Comment: 35 pages |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2309.04432Test |
| رقم الانضمام: | edsarx.2309.04432 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |