On Vortex Solutions of Landau-Lifshitz Equations

Abstract

We study the Landau-Lifshitz equation of ferromagnetism on ${\mathbb{R}}^2$ with an easy-axis anisotropy. We give the necessary condition for the existence of the finite energy vortex solutions and show the behaviors of the solutions.

12 pages

References in corpus (2)

• Harmonic Maps with Potential from ${\mathbb{R}}^2$ into $S^2$
• Geometric solitons with vortex structures for some geometric flows from Minkowski spaces: part I