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

Department of Mathematics

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

73 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1055-1088
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 Sep 2013

Access to Document

10.1007/s00205-013-0644-6

Fingerprint Dive into the research topics of 'Dimensionality of Local Minimizers of the Interaction Energy'. Together they form a unique fingerprint.

Cite this

@article{cf906601749b4f4e98cc3c1744165ffe,

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. {\textcopyright} 2013 Springer-Verlag Berlin Heidelberg.",

author = "D. Balagu{\'e} and Carrillo, {J. A.} and T. Laurent and G. Raoul",

year = "2013",

month = sep,

day = "1",

doi = "10.1007/s00205-013-0644-6",

language = "English",

volume = "209",

pages = "1055--1088",

journal = "Archive for Rational Mechanics and Analysis",

issn = "0003-9527",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Dimensionality of Local Minimizers of the Interaction Energy

AU - Balagué, D.

AU - Carrillo, J. A.

AU - Laurent, T.

AU - Raoul, G.

PY - 2013/9/1

Y1 - 2013/9/1

N2 - 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.

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. © 2013 Springer-Verlag Berlin Heidelberg.

U2 - 10.1007/s00205-013-0644-6

DO - 10.1007/s00205-013-0644-6

M3 - Article

VL - 209

SP - 1055

EP - 1088

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

SN - 0003-9527

IS - 3

ER -