THERMODYNAMIC LIMIT OF THE GINZBURG-LANDAU EQUATIONS

被引：37
作者：
COLLET, P
机构：
[1] Centre de Physique Théorique, Laboratoire CNRS UPR 14, Ecole Polytechnique, Palaiseau cedex
来源：
NONLINEARITY | 1994年 / 7卷 / 04期
关键词：
D O I：
10.1088/0951-7715/7/4/006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1175 / 1190
页数：16
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