Stability of Cahn-Hilliard fronts

We prove stability of the kink solution of the Cahn-Hilliard equation parti al derivative(t)u = partial derivative(x)(2)(-partial derivative(x)(2)u - u /2 + u(3)/2), x is an element of R. The proof is based on an inductive reno rmalization group method, and we obtain detailed asymptotics of the solutio n as t --> infinity. We prove stability of the kink solution of the Cahn-Hi lliard equation partial derivative(t)u = partial derivative(x)(2)(-partial derivative(x)(2)u - u/2 + u(3)/2), x is an element of R. The proof is based on an inductive renormalization group method, and we obtain detailed asymp totics of the solution as t --> infinity. (C) 1999 John Wiley & Sons, Inc.