GLOBAL DYNAMICS OF BOUNDARY DROPLETS

被引:10
作者
Bates, Peter W. [1 ]
Jin, Jiayin [1 ]
机构
[1] Michigan State Univ, Dept Math, E Lansing, MI 48823 USA
基金
美国国家科学基金会;
关键词
Invariant manifold theory; bubble solution; infinitely dimensional dynamical systems; mass-conserving Allen-Cahn Equation; global dynamics; CAHN-HILLIARD EQUATION; ONE SPACE DIMENSION; METASTABLE PATTERNS; SLOW DYNAMICS; INVARIANT-MANIFOLDS; PHASE-TRANSITIONS; HELE-SHAW; MOTION; EQUILIBRIA; SYSTEM;
D O I
10.3934/dcds.2014.34.1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish the existence of a global invariant manifold of bubble states for the mass-conserving Allen-Cahn Equation in two space dimensions and give the dynamics for the center of the bubble.
引用
收藏
页码:1 / 17
页数:17
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