Gevrey class regularity for the attractor of the laser equations

被引：6

作者：

Menon, G ^{[1
]}

机构：

[1] Brown Univ, Div Appl Math, Lefschetz Ctr Dynam Syst, Providence, RI 02912 USA

来源：

NONLINEARITY | 1999年 / 12卷 / 06期

关键词：

D O I：

10.1088/0951-7715/12/6/304

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Constantin, Foais and Gibbon proved that the laser equations (Lorenz PDE) define a dynamical system in L-2 With a C-infinity attractor. We extend this theorem to show that the attractor is contained in every Gevrey class, G(s), for 1 < s < infinity. This demonstrates a remarkable smoothing mechanism for this hyperbolic system. We consider the consequences of this theorem for finite-dimensionality of the dynamics.

引用

页码：1505 / 1510

页数：6

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