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

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

doi:10.1137/15M1033976

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

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

Associate Professorship of Mathematical Continuum Mechanics

Technical University of Munich
University of Pisa
Universita La Sapienza

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	3412-3443
Number of pages	32
Journal	SIAM Journal on Mathematical Analysis
Volume	48
Issue number	5
DOIs	https://doi.org/10.1137/15M1033976
State	Published - 2016

Keywords

Coulomb interactions
Nonlocal interactions
Shape optimization
Variational methods

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10.1137/15M1033976

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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.",

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T1 - Ground states of a two phase model with cross and self attractive interactions

AU - Cicalese, M.

AU - De Luca, L.

AU - Novaga, M.

AU - Ponsiglione, M.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Coulomb interactions

KW - Nonlocal interactions

KW - Shape optimization

KW - Variational methods

UR - https://www.scopus.com/pages/publications/84994065412

U2 - 10.1137/15M1033976

DO - 10.1137/15M1033976

M3 - Article

AN - SCOPUS:84994065412

SN - 0036-1410

VL - 48

SP - 3412

EP - 3443

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 5

ER -

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

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Keywords

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