91-51 P.Collet , J.P.Eckmann
SOLUTIONS WITHOUT PHASE-SLIP FOR THE GINSBURG-LANDAU EQUATION (108K, TeX) Oct 28, 91
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Abstract. We consider the Ginsburg-Landau 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.

Files: 91-51.tex