Ground states of a two phase model with cross and self attractive interactions

M. Cicalese, L. De Luca, M. Novaga, M. Ponsiglione

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

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.

Original languageEnglish
Pages (from-to)3412-3443
Number of pages32
JournalSIAM Journal on Mathematical Analysis
Volume48
Issue number5
DOIs
StatePublished - 2016

Keywords

  • Coulomb interactions
  • Nonlocal interactions
  • Shape optimization
  • Variational methods

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