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arXiv · 1206.4901

Minimal energy for the traveling waves of the Landau-Lifshitz equation

André de Laire
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Abstract

We consider nontrivial finite energy traveling waves for the Landau-Lifshitz equation with easy-plane 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.

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André de Laire. 2014-09-01. Minimal energy for the traveling waves of the Landau-Lifshitz equation. https://arxiv.org/abs/1206.4901

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