Eckmann J.-P. , Rougemont J.
Coarsening by Ginzburg-Landau Dynamics
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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.