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Thermodynamic Limit Of The Ginzburg-Landau Equations

P. Collet
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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 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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P. Collet. 1993-10-14. Thermodynamic Limit Of The Ginzburg-Landau Equations. https://doi.org/10.1088/0951-7715%2F7%2F4%2F006

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