On self-similar solutions of the vortex filament equation

DOI10.1063/1.5096170zbMath1458.76020arXiv1903.02105OpenAlexW3105270872WikidataQ127312168 ScholiaQ127312168MaRDI QIDQ5193208

Oleksandr Gamayun, Oleg Lisovyy

Publication date: 9 September 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02105

zbMATH Keywords

Landau-Lifshitz equationbinomial curvature flowhypergeometric asymptotic solutionPainleve IV equation

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55)

Related Items (4)

Recent results for the Landau-Lifshitz equation ⋮ Vortex filament flows for curves in a 3-dimensional pseudo-Riemannian manifold ⋮ Superdiffusion in spin chains ⋮ Self-similar shrinkers of the one-dimensional Landau-Lifshitz-Gilbert equation

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