Global minimizers of a large class of anisotropic attractive-repulsive interaction energies in 2D

We study a large family of Riesz-type singular interaction potentials with anisotropy in two dimensions. Their associated global energy minimizers are given by explicit formulas whose supports are determined by ellipses under certain assumptions. More precisely, by parameterizing the strength of the...

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Détails bibliographiques
Auteurs principaux: Carrillo de la Plata, JA, Shu, R
Format: Journal article
Langue:English
Publié: Wiley 2023