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.