93-237 P.Collet.

THERMODYNAMIC LIMIT OF THE GINZBURG LANDAU EQUATIONS (87K, dvi uuencoded) Sep 17, 93

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Abstract. We investigate the existence of a global semiflow for the complex Ginzburg-Landau equation on the space of bounded functions in infinite domain. This semiflow is proven to exist in dimension 1 and 2 for any parameter values of the standard cubic Ginzburg-Landau equation. In dimension 3 we need some restrictions on the parameters but cover nevertheless some part of the Benjamin-Feijer unstable domain.

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