97-313 Eckmann J.-P. , Rougemont J.
Coarsening by Ginzburg-Landau Dynamics (269K, Postscript gzipped uuencoded) Jun 10, 97
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Abstract. We study slowly moving solutions of the real Ginzburg-Landau equation on the line, by a method due to J. Carr and R.L. Pego. These are functions taking alternately positive or negative values on large intervals. A consequence of our approach is that we can propose a rigorous derivation of a stochastic model of coarsening by successive elimination of the smallest interval, which was described in earlier work by A.J. Bray, B. Derrida and C. Godr\`eche.

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