Scaling laws for vortical nucleation solutions in a model of superflow

DOI10.1016/S0167-2789(99)00229-8zbMath0954.35146OpenAlexW2163618128WikidataQ107031493 ScholiaQ107031493MaRDI QIDQ1578018

Cristián Huepe, Marc-Etienne Brachet

Publication date: 11 February 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00229-8

zbMATH Keywords

nonlinear Schrödinger equationvortex nucleationbifurcation diagramsuperfluid

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) NLS equations (nonlinear Schrödinger equations) (35Q55) Superfluids (classical aspects) (76A25)

Related Items (5)

A remark on the critical speed for vortex nucleation in the nonlinear Schrödinger equation ⋮ Critical speed for capillary-gravity surface flows in the dispersive shallow water limit ⋮ Dynamical scaling laws in two types of extended Hamiltonian systems at dissipation onset ⋮ Boundary layers and emitted excitations in nonlinear Schrödinger superflow past a disk ⋮ Critical velocity in resonantly driven polariton superfluids

Cites Work

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• Fluid dynamical form of the linear and nonlinear Schrödinger equations
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• Self-stretching of perturbed vortex filaments. II: Structure of solutions
• Vortex shedding in a model of superflow
• Solutions de nucleation tourbillonnaires dans un modèle d'écoulement superfluide
• Asymmetry and Hopf bifurcation in spherical Couette flow
• Decaying Kolmogorov turbulence in a model of superflow

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