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Communications on Pure & Applied Analysis
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Communications on Pure & Applied Analysis
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The dynamics of vortex filaments with corners

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2015 English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Communications on Pure & Applied Analysis, volume 14, pages 1,581-1,601 (issn: 1553-5258, Copyright policy )
Authors: Vega, Luis;

doi: 10.3934/cpaa.2015.14.1581

handle: 20.500.11824/54

The dynamics of vortex filaments with corners

Abstract

This paper focuses on surveying some recent results obtained by the author together with V. Banica on the evolution of a vortex filament with one corner according to the so-called binormal flow. The case of a regular polygon studied in collaboration with F. de la Hoz is also considered.

Keywords

vortex filaments, NLS equations (nonlinear Schrödinger equations), nonlinear Schrödinger equation (NLS), PDEs in connection with fluid mechanics, PDEs in connection with quantum mechanics

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    popularity
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    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
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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!
9
Top 10%
Average
Average
Green
gold