论文标题
与dzyaloshinskii-Moriya相互作用的Nanowire中的Landau-Lifshitz-Gilbert方程的2域壁的渐近稳定性
Asymptotic stability of 2-domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction
论文作者
论文摘要
我们考虑了一种铁磁纳米线，具有能量功能$ e $，其易于轴的方向$ e_1 $，并考虑到dzyaloshinskii-moriya的交互。我们认为磁化强度的配置是两个良好分开的域壁的扰动，并研究了它们在Landau-Lifshitz-Gilbert流动下的演变。我们的分析基于[4]中开发的框架，利用它可以适合空间本地化。
We consider a ferromagnetic nanowire, with an energy functional $E$ with easy-axis in the direction $e_1$, and which takes into account the Dzyaloshinskii-Moriya interaction. We consider configurations of the magnetization which are perturbations of two well separated domain wall, and study their evolution under the Landau-Lifshitz-Gilbert flow associated to E. Our main result is that, if the two walls have opposite speed, these configurations are asymptotically stable, up to gauges intrinsic to the invariances of the energy $E$. Our analysis builds on the framework developed in [4], taking advantage that it is amenable to space localisation.
