Large volume minimizers of a non-local isoperimetric problem: theoretical and numerical approaches
Résumé
We consider the volume-constrained minimization of the sum of the perimeter and the Riesz potential. We add an external potential of the form |x| β that provides the existence of a minimizer for any volume constraint , and we study the geometry of large volume minimizers. Then we provide a numerical method to address this variational problem.
Domaines
Optimisation et contrôle [math.OC]
Origine : Fichiers produits par l'(les) auteur(s)
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