Layer dynamics for the one dimensional $\epsilon$-dependent Cahn-Hilliard / Allen-Cahn equation

Dimitra Antonopoulou, Georgia Karali, Konstantinos Tzirakis

We study the dynamics of the one-dimensional $\epsilon$-dependent Cahn-Hilliard / Allen-Cahn equation within a neighborhood of an equilibrium of $N$ transition layers, that in g…