Minimal Energy for the Traveling Waves of the Landau-Lifshitz Equation
نویسنده
چکیده
We consider nontrivial finite energy traveling waves for the Landau–Lifshitz equation with easyplane anisotropy. Our main result is the existence of a minimal energy for these traveling waves, in dimensions two, three and four. The proof relies on a priori estimates related with the theory of harmonic maps and the connection of the Landau–Lifshitz equation with the kernels appearing in the Gross–Pitaevskii equation. 2010 Mathematics Subject Classification: 35J60, 35Q51, 37K40, 35B65, 58E20, 82D55
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 46 شماره
صفحات -
تاریخ انتشار 2014