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Colección SciELO Chile

On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations

Indexado

WoS	WOS:000424499200001
Scopus	SCOPUS_ID:85041911970

DOI

10.1007/S11040-017-9257-X

Año

2018

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, with multiple magnetic flux quanta per fundamental cell. We also revisit the existence proof for the Abrikosov vortex lattices, streamlining some arguments and providing some essential details missing in earlier proofs for a single magnetic flux quantum per a fundamental cell.

Revista

Revista	ISSN
Mathematical Physics Analysis And Geometry	1385-0172

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics, Applied
Physics, Mathematical

Scopus
Sin Disciplinas

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Chenn, Ilias	Hombre	UNIV TORONTO - Canadá University of Toronto - Canadá
2	Smyrnelis, Panayotis	Mujer	Universidad de Chile - Chile
3	Sigal, Israel Michael	Hombre	UNIV TORONTO - Canadá University of Toronto - Canadá

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Financiamiento

Fuente
Natural Sciences and Engineering Research Council of Canada
Fondo Nacional de Desarrollo Científico, Tecnológico y de Innovación Tecnológica
NSERC
Fondo Nacional de Desarrollo CientÃfico, TecnolÃ³gico y de InnovaciÃ³n TecnolÃ³gica
FONDECYT Postdoctoral grant
Fondo Basal CMM-Chile
NSERC CGS program
NCCR SwissMAP

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Agradecimientos

Agradecimiento
It is a pleasure to thank Max Lein for useful discussions and the anonymous referees for reading carefully the manuscript and many useful remarks and suggestions. The first author would like to thank Dmitri Chouchkov for useful discussions. The first and third authors' research is supported in part by NSERC Grant No. NA7901. During the work on the paper, they enjoyed the support of the NCCR SwissMAP. The first author was also supported by the NSERC CGS program. The second author (P.S.) was partially supported by Fondo Basal CMM-Chile and Fondecyt postdoctoral grant 3160055.
Acknowledgments It is a pleasure to thank Max Lein for useful discussions and the anonymous referees for reading carefully the manuscript and many useful remarks and suggestions. The first author would like to thank Dmitri Chouchkov for useful discussions. The first and third authors’ research is supported in part by NSERC Grant No. NA7901. During the work on the paper, they enjoyed the support of the NCCR SwissMAP. The first author was also supported by the NSERC CGS program. The second author (P. S.) was partially supported by Fondo Basal CMM-Chile and Fondecyt postdoctoral grant 3160055.

Agradecimiento

It is a pleasure to thank Max Lein for useful discussions and the anonymous referees for reading carefully the manuscript and many useful remarks and suggestions. The first author would like to thank Dmitri Chouchkov for useful discussions. The first and third authors' research is supported in part by NSERC Grant No. NA7901. During the work on the paper, they enjoyed the support of the NCCR SwissMAP. The first author was also supported by the NSERC CGS program. The second author (P.S.) was partially supported by Fondo Basal CMM-Chile and Fondecyt postdoctoral grant 3160055.

Acknowledgments It is a pleasure to thank Max Lein for useful discussions and the anonymous referees for reading carefully the manuscript and many useful remarks and suggestions. The first author would like to thank Dmitri Chouchkov for useful discussions. The first and third authors’ research is supported in part by NSERC Grant No. NA7901. During the work on the paper, they enjoyed the support of the NCCR SwissMAP. The first author was also supported by the NSERC CGS program. The second author (P. S.) was partially supported by Fondo Basal CMM-Chile and Fondecyt postdoctoral grant 3160055.