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

页码：1175 / 1190

页数：16

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