J.Bricmont, A.Kupiainen, J.Taskinen
Stability of Cahn-Hilliard Fronts
(89K, LATeX)
ABSTRACT. We prove stability of the kink solution of the Cahn-Hilliard
equation
$ \partial_t u = \partial_x^2 \bigl( - \partial_x^2 u - u /2
+ u^3 / 2 \bigr), $
$x \in {\BbbR}$. The proof is based on an inductive Renormalization Group
method and we obtain detailed asymptotics of the solution as
$t\to\infty$.