On a model of rotating superfluids

Sylvia Serfaty

doi:10.1051/cocv:2001108

On a model of rotating superfluids

Sylvia Serfaty

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider an energy-functional describing rotating superfluids at a rotating velocity ω, and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical ω above which energyminimizers have vortices, evaluations of the minimal energy as a function of ω, and the derivation of a limiting free-boundary problem.

Original language	English (US)
Pages (from-to)	201-238
Number of pages	38
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	6
DOIs	https://doi.org/10.1051/cocv:2001108
State	Published - Jan 2001

Keywords

Gross-Pitaevskii equations
Superfluids
Vortices

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Computational Mathematics

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10.1051/cocv:2001108

Cite this

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AB - We consider an energy-functional describing rotating superfluids at a rotating velocity ω, and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical ω above which energyminimizers have vortices, evaluations of the minimal energy as a function of ω, and the derivation of a limiting free-boundary problem.

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KW - Vortices

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On a model of rotating superfluids

Abstract

Keywords

ASJC Scopus subject areas

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