铁磁薄膜中静态奈耳壁的非线性稳定性
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films
AI总结：
本文研究铁磁薄膜中180°静态奈耳壁的非线性稳定性，通过证明其线性化算子谱位于稳定复半平面，得出小扰动收敛于静态壁生成流形上的平移轨道的结论。
摘要：
本文在Capella、Melcher和Otto[CMO07]提出的面内磁化约化波动型动力学框架下，证明了铁磁薄膜中180°静态奈耳壁的非线性（轨道）稳定性。研究证实，静态奈耳壁附近线性化算子的谱位于实部非正的稳定复半平面内。利用这一结果进一步证明，静态奈耳壁的小扰动会收敛到一个平移轨道，该轨道属于由静态壁生成的流形。
英文摘要：
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.
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