On Vortex Solutions of Landau-Lifshitz Equations

2013/12/13 by Ruiqi Jiang, Ruiqi, Jiang
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1312.3816

openalex publication_date 2013/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Landau-Lifshitz equation of ferromagnetism on ℝ² 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.

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