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GT CalVa L De Luca
Lundi 26 septembre 2016
Lucia DE LUCA (Technische Universitat Munchen)
Ground states of a two phase model with cross and self attractive interactions
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.