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.
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页码：517 / 537
页数：21
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