 9279 Eckmann J.P., Gallay Th.
 Front solutions for the GinzburgLandau equation
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Jun 30, 92

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Abstract. We prove the existence of front solutions
for the GinzburgLandau equation
d/dt u(x,t) = d^2/dx^2 u(x,t) + (1  u(x,t)^2) * u(x,t)
interpolating between two stationary solutions of the form
u(x) = sqrt(1  q^2) * exp(iqx)
with different values of q at x = +infinity.
Such fronts are shown to exist
when at least one of the q is in the Eckhausunstable domain.
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