91-51 P.Collet , J.P.Eckmann

SOLUTIONS WITHOUT PHASE-SLIP FOR THE GINSBURG-LANDAU EQUATION (108K, TeX) Oct 28, 91

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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