 97638 J.Bricmont, A.Kupiainen, J.Taskinen
 Stability of CahnHilliard Fronts
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Dec 18, 97

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Abstract. We prove stability of the kink solution of the CahnHilliard
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
$t\to\infty$.
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