Self-similar solutions of the one-dimensional Landau–Lifshitz–Gilbert equation

DOI10.1088/0951-7715/28/5/1307zbMath1318.35114arXiv1409.2340OpenAlexW2062495452MaRDI QIDQ5251060

André De Laire, Susana Gutiérrez

Publication date: 22 May 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2340

zbMATH Keywords

asymptoticsself-similar solutionsLandau-Lifshitz-Gilbert equationSchrödinger mapsferromagnetic spin chainheat-flow for harmonic maps

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Asymptotic expansions of solutions to PDEs (35C20) Harmonic maps, etc. (58E20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Self-similar solutions to PDEs (35C06)

Related Items (5)

Recent results for the Landau-Lifshitz equation ⋮ The Cauchy problem for the Landau–Lifshitz–Gilbert equation in BMO and self-similar solutions ⋮ Solitary wave solutions to the multidimensional Landau-Lifshitz equation ⋮ The estimates of the ill-posedness index of the (deformed-) continuous Heisenberg spin equation ⋮ Self-similar shrinkers of the one-dimensional Landau-Lifshitz-Gilbert equation

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