dorsal/arxiv
View SchemaThermodynamic Limit Of The Ginzburg-Landau Equations
| Authors | P. Collet |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9310002 |
| URL | https://arxiv.org/abs/patt-sol/9310002 |
| DOI | 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 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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"abstract": "We investigate the existence of a global semiflow for the complex\nGinzburg-Landau equation on the space of bounded functions in unbounded domain.\nThis semiflow is proven to exist in dimension 1 and 2 for any parameter values\nof the standard cubic Ginzburg-Landau equation. In dimension 3 we need some\nrestrictions on the parameters but cover nevertheless some part of the\nBenjamin-Feijer unstable domain.",
"arxiv_id": "patt-sol/9310002",
"authors": [
"P. Collet"
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"categories": [
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"doi": "10.1088/0951-7715/7/4/006",
"title": "Thermodynamic Limit Of The Ginzburg-Landau Equations",
"url": "https://arxiv.org/abs/patt-sol/9310002"
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