Periodic patterns for a model involving short-range and long-range interactions

被引：6
|
作者：
Fall, Mouhamed Moustapha [1 ]
机构：
[1] African Inst Math Sci Senegal, KM 2,Route Joal,BP 14 18, Mbour, Senegal
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2018年 / 175卷
关键词：
Screened Coulomb potential; Short-range; Long-range; Polymer melt; Equilibrium periodic patterns; DIBLOCK COPOLYMER MORPHOLOGY; NONLOCAL MEAN-CURVATURE; FREE-BOUNDARY PROBLEM; CYLINDRICAL PHASE; BLOCK-COPOLYMERS; DROPLET PATTERN; I-LIMIT; SURFACES; DENSITY; SYSTEM;
D O I：
10.1016/j.na.2018.05.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：73 / 107
页数：35
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