Thermodynamic limit of the Ginzburg-Landau equations
- 1 July 1994
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 7 (4) , 1175-1190
- https://doi.org/10.1088/0951-7715/7/4/006
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-Feir unstable domain.Keywords
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