Stability of Cahn‐Hilliard fronts
Stability of Cahn‐Hilliard fronts
We prove stability of the kink solution of the Cahn-Hilliard equation ∂tu = ∂( ∂u − u/2 + u3/2), x ∈ ℝ. The proof is based on an inductive renormalization group method, and we obtain detailed asymptotics of the solution as t → ∞. We prove stability of the kink …