We consider a variational model for two interacting species (or phases), subject to cross and self attractive forces. We show existence and several qualitative properties of minimizers. Depending on the strengths of the forces, different behaviors are possible: phase mixing or phase separation with nested or disjoint phases. In the case of Coulomb interaction forces, we characterize the ground state configurations.
Ground states of a two phase model with cross and self attractive interactions / De Luca, Lucia; Ponsiglione, Marcello; Cicalese, Marco; Novaga, Matteo. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 1095-7154. - STAMPA. - 48:5(2016), pp. 3412-3443. [10.1137/15M1033976]
Ground states of a two phase model with cross and self attractive interactions
PONSIGLIONE, Marcello;
2016
Abstract
We consider a variational model for two interacting species (or phases), subject to cross and self attractive forces. We show existence and several qualitative properties of minimizers. Depending on the strengths of the forces, different behaviors are possible: phase mixing or phase separation with nested or disjoint phases. In the case of Coulomb interaction forces, we characterize the ground state configurations.| File | Dimensione | Formato | |
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