Thermodynamic Limit Of The Ginzburg-Landau Equations

Details Thermodynamic Limit Of The Ginzburg-Landau Equations Thermodynamic Limit Of The Ginzburg-Landau Equations

1993-10-14

arxiv.org/abs/patt-sol/9310002v1

Nonlinear Sciences

Chaotic Dynamics

uuencoded dvi file (email: collet@orphee.polytechnique.fr)

Scientific paper

10.1088/0951-7715/7/4/006

We investigate the existence of a global semiflow for the complex Ginzburg-Landau equation on the space of bounded functions in unbounded 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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