Vortex filament equation in a Riemannian manifold.

DOI10.2748/tmj/1113246943zbMath1080.53059OpenAlexW1975133644WikidataQ115227303 ScholiaQ115227303MaRDI QIDQ1411701

Norihito Koiso

Publication date: 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113246943

zbMATH Keywords

singular perturbationRiemannian manifoldvortex filament

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25)

Related Items

Long time existence for vortex filament equation in a Riemannian manifold, Binormal motion of curves with constant torsion in 3-spaces, Fourth-order dispersive systems on the one-dimensional torus

Cites Work

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• The vortex filament equation and a semilinear Schrödinger equation in a Hermitian symmetric space
• Initial and Initial-Boundary Value Problems for a Vortex Filament with or without Axial Flow
• A soliton on a vortex filament