Thermodynamic Limit Of The Ginzburg-Landau Equations

Preprint

14 October 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.patt-sol/9310002

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.

Keywords

GINZBURG LANDAU EQUATION
THERMODYNAMIC LIMIT
LANDAU EQUATION
DIMENSION
SEMIFLOW

All Related Versions

Version 1, 1993-10-14, ArXiv
Published version: Nonlinearity, 7 (4), 1175.

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