Analysis & PDE

  • Anal. PDE
  • Volume 2, Number 2 (2009), 159-186.

Dynamics of vortices for the complex Ginzburg–Landau equation

Evelyne Miot

Full-text: Open access

Abstract

We study a complex Ginzburg–Landau equation in the plane, which has the form of a Gross–Pitaevskii equation with some dissipation added. We focus on the regime corresponding to well-prepared unitary vortices and derive their asymptotic motion law.

Article information

Source
Anal. PDE, Volume 2, Number 2 (2009), 159-186.

Dates
Received: 21 October 2008
Accepted: 27 March 2009
First available in Project Euclid: 20 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.apde/1513798015

Digital Object Identifier
doi:10.2140/apde.2009.2.159

Mathematical Reviews number (MathSciNet)
MR2547133

Zentralblatt MATH identifier
1189.35318

Subjects
Primary: 35B20: Perturbations 35B40: Asymptotic behavior of solutions 35Q40: PDEs in connection with quantum mechanics 82D55: Superconductors

Keywords
complex Ginzburg–Landau equation vortex dynamics

Citation

Miot, Evelyne. Dynamics of vortices for the complex Ginzburg–Landau equation. Anal. PDE 2 (2009), no. 2, 159--186. doi:10.2140/apde.2009.2.159. https://projecteuclid.org/euclid.apde/1513798015


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