Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909086891638784 |
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| author | Capella, A. Melcher, C. Morales, L. Plaza, R. G. |
| author_facet | Capella, A. Melcher, C. Morales, L. Plaza, R. G. |
| contents | In this paper, the nonlinear (orbital) stability of static 180^\circ Néel 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 Néel 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 Néel wall converge to a translated orbit belonging to the manifold generated by the static wall. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04432 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films Capella, A. Melcher, C. Morales, L. Plaza, R. G. Analysis of PDEs Spectral Theory 35B35, 35B40, 35S10 In this paper, the nonlinear (orbital) stability of static 180^\circ Néel 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 Néel 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 Néel wall converge to a translated orbit belonging to the manifold generated by the static wall. |
| title | Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films |
| topic | Analysis of PDEs Spectral Theory 35B35, 35B40, 35S10 |
| url | https://arxiv.org/abs/2309.04432 |