LOCAL MINIMIZERS AND SLOW MOTION FOR THE MASS PRESERVING ALLEN-CAHN EQUATION IN HIGHER DIMENSIONS

被引：1
|
作者：
Leoni, Giovanni [1 ]
Murray, Ryan [2 ]
机构：
[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA
[2] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 12期
关键词：
Second-order Gamma-convergence; rearrangement; Cahn-Hilliard functional; slow motion; Allen-Cahn equation; Cah-Hilliard equation; PHASE-TRANSITIONS; ASYMPTOTIC DEVELOPMENT; BOUNDARY MOTION; GRADIENT THEORY; REGULARITY; PERIMETER;
D O I：
10.1090/proc/13988
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper completely resolves the asymptotic development of order 2 by Gamma-convergence of the mass-constrained Cahn-Hilliard functional. Important new results on the slow motion of interfaces for the mass preserving Allen-Cahn equation and the Cahn-Hilliard equations in higher dimension are obtained as an application.
引用
收藏
页码：5167 / 5182
页数：16
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