97-638 J.Bricmont, A.Kupiainen, J.Taskinen
Stability of Cahn-Hilliard Fronts (89K, LATeX) Dec 18, 97
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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 $t\to\infty$.

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