Stability of the interface in a model of phase separation
Anna De Masi, Enza Orlandi, E. Presutti, L. Triolo · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1994
The paper is concerned with the asymptotic behaviour of the solutions to a nonlocal evolution equation which arises in models of phase separation. As in the Allen–Cahn equations, stationary spatially nonhomogeneous solutions exist, which represent the interface profile between stable phases. Local stability of these interface profiles is proved.