ON GLOBAL MINIMIZERS FOR A VARIATIONAL PROBLEM WITH LONG-RANGE INTERACTIONS

被引：13

作者：

Choksi, Rustum ^{[1
]}

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ, Canada

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2012年 / 70卷 / 03期

关键词：

Global minimizers; long-range interactions; diblock copolymers; DIBLOCK COPOLYMER PROBLEM; VOLUME-FRACTION LIMIT; MICROPHASE SEPARATION; PHASE-DIAGRAM; ISOPERIMETRIC PROBLEM; GAMMA-CONVERGENCE; UNIFORM ENERGY; GENERAL-THEORY; STABILITY; PATTERNS;

D O I：

10.1090/S0033-569X-2012-01316-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Energy-driven pattern formation induced by competing short and long-range interactions is common in many physical systems. In these proceedings we report on certain rigorous asymptotic results concerning global minimizers of a nonlocal perturbation to the well-known Ginzburg-Landau/Cahn-Hilliard free energy. We also discuss two hybrid numerical methods for accessing the ground states of these functionals.

引用

页码：517 / 537

页数：21

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