Calculus of Variations and Geometric Measure Theory
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Ground states of a two phase model with cross and self attractive interactions

Lucia De Luca (SISSA)

created by gelli on 31 Oct 2016

16 nov 2016 -- 17:00   [open in google calendar]

Sala Seminari Dipartimento di Matematica di Pisa

Abstract.

We consider a variational model for two interacting species (or phases), subject to cross and self attractive interactions. We show existence and several qualitative properties of minimizers. Depending on the strengths of the attractive forces, minimizers can exhibit different behaviors: phase mixing or phase separation with nested or disjoint phases. For the special case of Coulomb interaction forces, we fully characterize the ground state configurations, by giving its explicit shape. This is a joint work with M. Cicalese, M. Novaga, and M. Ponsiglione.

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