Metastable dynamics for hyperbolic variations of the Allen–Cahn equation
Metastable dynamics for hyperbolic variations of the Allen–Cahn equation
Metastable dynamics of a hyperbolic variation of the Allen-Cahn equation with homogeneous Neumann boundary conditions are considered.Using the "dynamical approach" proposed by Carr-Pego to study slow-evolution of solutions in the classic parabolic case, we prove existence and persistence of metastable patterns for an exponentially long time.In particular, we show the …