Dimensionality of Local Minimizers of the Interaction Energy

Handle URI:
http://hdl.handle.net/10754/597984
Title:
Dimensionality of Local Minimizers of the Interaction Energy
Authors:
Balagué, D.; Carrillo, J. A.; Laurent, T.; Raoul, G.
Abstract:
In this work we consider local minimizers (in the topology of transport distances) of the interaction energy associated with a repulsive-attractive potential. We show how the dimensionality of the support of local minimizers is related to the repulsive strength of the potential at the origin. © 2013 Springer-Verlag Berlin Heidelberg.
Citation:
Balagué D, Carrillo JA, Laurent T, Raoul G (2013) Dimensionality of Local Minimizers of the Interaction Energy. Archive for Rational Mechanics and Analysis 209: 1055–1088. Available: http://dx.doi.org/10.1007/s00205-013-0644-6.
Publisher:
Springer Nature
Journal:
Archive for Rational Mechanics and Analysis
KAUST Grant Number:
KUK-I1- 007-43
Issue Date:
22-May-2013
DOI:
10.1007/s00205-013-0644-6
Type:
Article
ISSN:
0003-9527; 1432-0673
Sponsors:
We would like to thanks James von Brecht for multiple insightful conversations concerning the numerical section of this paper. DB and JAC were supported by the projects Ministerio de Ciencia e Innovacion MTM2011-27739-C04-02 and 2009-SGR-345 from Agencia de Gestio d'Ajuts Universitaris i de Recerca-Generalitat de Catalunya. JAC acknowledges support from the Royal Society through a Wolfson Research Merit Award. This work was supported by Engineering and Physical Sciences Research Council grant number EP/K008404/1. GR was supported by Award No. KUK-I1- 007-43 of Peter A. Markowich, made by King Abdullah University of Science and Technology (KAUST). DB, JAC and GR acknowledge partial support from CBDif-Fr ANR-08-BLAN-0333-01 project. TL acknowledges the support from NSF Grant DMS-1109805.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBalagué, D.en
dc.contributor.authorCarrillo, J. A.en
dc.contributor.authorLaurent, T.en
dc.contributor.authorRaoul, G.en
dc.date.accessioned2016-02-25T13:10:22Zen
dc.date.available2016-02-25T13:10:22Zen
dc.date.issued2013-05-22en
dc.identifier.citationBalagué D, Carrillo JA, Laurent T, Raoul G (2013) Dimensionality of Local Minimizers of the Interaction Energy. Archive for Rational Mechanics and Analysis 209: 1055–1088. Available: http://dx.doi.org/10.1007/s00205-013-0644-6.en
dc.identifier.issn0003-9527en
dc.identifier.issn1432-0673en
dc.identifier.doi10.1007/s00205-013-0644-6en
dc.identifier.urihttp://hdl.handle.net/10754/597984en
dc.description.abstractIn this work we consider local minimizers (in the topology of transport distances) of the interaction energy associated with a repulsive-attractive potential. We show how the dimensionality of the support of local minimizers is related to the repulsive strength of the potential at the origin. © 2013 Springer-Verlag Berlin Heidelberg.en
dc.description.sponsorshipWe would like to thanks James von Brecht for multiple insightful conversations concerning the numerical section of this paper. DB and JAC were supported by the projects Ministerio de Ciencia e Innovacion MTM2011-27739-C04-02 and 2009-SGR-345 from Agencia de Gestio d'Ajuts Universitaris i de Recerca-Generalitat de Catalunya. JAC acknowledges support from the Royal Society through a Wolfson Research Merit Award. This work was supported by Engineering and Physical Sciences Research Council grant number EP/K008404/1. GR was supported by Award No. KUK-I1- 007-43 of Peter A. Markowich, made by King Abdullah University of Science and Technology (KAUST). DB, JAC and GR acknowledge partial support from CBDif-Fr ANR-08-BLAN-0333-01 project. TL acknowledges the support from NSF Grant DMS-1109805.en
dc.publisherSpringer Natureen
dc.titleDimensionality of Local Minimizers of the Interaction Energyen
dc.typeArticleen
dc.identifier.journalArchive for Rational Mechanics and Analysisen
dc.contributor.institutionUniversidad Autonoma de Barcelona, Barcelona, Spainen
dc.contributor.institutionImperial College London, London, United Kingdomen
dc.contributor.institutionUniversity of California, Riverside, Riverside, United Statesen
dc.contributor.institutionCEFE Centre d'Ecologie Fonctionnelle et Evolutive UMR 5175, Montpellier, Franceen
kaust.grant.numberKUK-I1- 007-43en
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