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) |
|---|
Loading...