On Schr\"odinger maps from $T^1$ to $S^2$

zbMath1308.58023arXiv1105.2736MaRDI QIDQ4914362

Didier Smets, Robert Leon Jerrard

Publication date: 19 April 2013

Full work available at URL: https://arxiv.org/abs/1105.2736

zbMATH Keywords

Schrödinger mapsbinormal curvature flow

Mathematics Subject Classification ID

Partial differential equations on manifolds; differential operators (58J99) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (10)

On the relationship between the one-corner problem and the \(M\)-corner problem for the vortex filament equation ⋮ Vortex Filament Solutions of the Navier‐Stokes Equations ⋮ Numerical Integration of Schrödinger Maps via the Hasimoto Transform ⋮ Stability of the self-similar dynamics of a vortex filament ⋮ On the asymptotic stability in the energy space for multi-solitons of the Landau-Lifshitz equation ⋮ On the vortex filament conjecture for Euler flows ⋮ Local nonautonomous Schrödinger flows on Kähler manifolds ⋮ Vortex filament equation for a regular polygon in the hyperbolic plane ⋮ Fractal solutions of linear and nonlinear dispersive partial differential equations ⋮ Uniqueness criteria for the Oseen vortex in the 3d Navier-Stokes equations

This page was built for publication: On Schr\"odinger maps from $T^1$ to $S^2$