Dimensionality of Local Minimizers of the Interaction Energy

D. Balagué; J. A. Carrillo; T. Laurent; G. Raoul

doi:10.1007/s00205-013-0644-6

Dimensionality of Local Minimizers of the Interaction Energy

D. Balagué
, J. A. Carrillo
, T. Laurent
, G. Raoul

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1055-1088
Number of pages	34
Journal	Archive for Rational Mechanics and Analysis
Volume	209
Issue number	3
DOIs	https://doi.org/10.1007/s00205-013-0644-6
Publication status	Published - 1 Sept 2013

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title = "Dimensionality of Local Minimizers of the Interaction Energy",

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.",

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AB - 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.

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Dimensionality of Local Minimizers of the Interaction Energy

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