Applications
Pego uses matched asymptotic expansions to demonstrate that Cahn-Hilliard solutions for phase separation develop into a nonlinear Stefan problem at an intermediate time scale. The solution of the Cahn–Hilliard equation for a binary mixture is reasonably comparable with the solution of a Stefan problem. In this comparison, the Stefan problem was solved using a front-tracking, moving-mesh method with homogeneous Neumann conditions at the outer boundary.
Read more about this topic: Stefan Problem