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Analysis & PDE
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arXiv.org e-Print Archive
Preprint . 2008
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https://dx.doi.org/10.48550/ar...
Article . 2008
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Dynamics of vortices for the complex Ginzburg–Landau equation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 May 2009Embargo end date: 01 Jan 2008 English Publisher:Mathematical Sciences PublishersJournal:Analysis & PDE, volume 2, pages 159-186 (issn: 2157-5045, eissn: 1948-206X, Copyright policy )
Authors: Miot, Evelyne;

doi: 10.2140/apde.2009.2.159 , 10.48550/arxiv.0810.4782

arXiv: 0810.4782

Dynamics of vortices for the complex Ginzburg–Landau equation

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.

Related Organizations
Keywords

35B20, Mathematics - Analysis of PDEs, 35Q40, 35B20; 35B40, 35B40, FOS: Mathematics, complex Ginzburg–Landau equation, 82D55, vortex dynamics, Analysis of PDEs (math.AP)

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Average
Top 10%
Green
bronze