 9151 P.Collet , J.P.Eckmann
 SOLUTIONS WITHOUT PHASESLIP FOR THE GINSBURGLANDAU EQUATION
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Oct 28, 91

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Abstract. We consider the GinsburgLandau equation for a complex scalar field in
one dimension and consider initial data which have two different stationary
solutions as their limits in space as $x\to\pm\infty$. If these solutions are
not very different,
then we show that the initial data will evolve to a stationary solution by a
``phase melting'' process which avoids ``phase slips'', i.e., which does not
go
through zero amplitude.
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9151.tex