A Variational Theory for Point Defects in Patterns

被引：0
|
作者：
N. M. Ercolani
S. C. Venkataramani
机构：
[1] Univ. of Arizona,Dept. of Math.
来源：
Journal of Nonlinear Science | 2009年 / 19卷
关键词：
Patterns; Defects; Calculus of variations; 35J35; 35J60; 41A60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We derive a rigorous scaling law for minimizers in a natural version of the regularized Cross–Newell model for pattern formation far from threshold. These energy-minimizing solutions support defects having the same character as what is seen in experimental studies of the corresponding physical systems and in numerical simulations of the microscopic equations that describe these systems.
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页码：267 / 300
页数：33
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