Periodic patterns for a model involving short-range and long-range interactions. (October 2018)

• Record Type: Journal Article
• Authors: Fall, Mouhamed Moustapha
• Is Part Of: Nonlinear analysis. Volume 175(2018)
• Page Start: 73
• Page End: 107
• Publication Date: 2018-10
• Subjects: Screened Coulomb potential -- Short-range -- Long-range -- Polymer melt -- Equilibrium periodic patterns; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2018.05.009
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider a physical model where the total energy is governed by surface tension and repulsive screened Coulomb potential on the 3-dimensional space. We obtain different periodic equilibrium patterns i.e. stationary sets for this energy, under some volume constraints. The patterns bifurcate smoothly from straight lamellae, lattices of round solid cylinders and lattices of round balls.