Random attractors

被引：711

作者：

Crauel H. ^{[1
]}

Debussche A. ^{[2
]}

Flandoli F. ^{[3
]}

机构：

[1] 66121 Saarbrücken

[2] Laboratoire d'Analyse Numérique et CNRS, Université Paris-Sud, Batiment 425

[3] Dipartimento di Matematica Applicata U. Dini, 56126 Pisa

来源：

Journal of Dynamics and Differential Equations | 1997年 / 9卷 / 2期

关键词：

Deterministic nonautonomous systems; Random attractors; Stochastic Burgers equation; Stochastic dynamical systems; Stochastic Navier-Stokes equation; Stochastic nonlinear wave equation;

D O I：

10.1007/BF02219225

中图分类号：

学科分类号：

摘要：

In this paper, we generalize the notion of an attractor for the stochastic dynamical system introduced in [7]. We prove that the stochastic attractor satisfies most of the properties satisfied by the usual attractor in the theory of deterministic dynamical systems. We also show that our results apply to the stochastic Navier-Stokes equation, the white noise-driven Burgers equation, and a nonlinear stochastic wave equation. © 1997 Plenum Publishing Corporation.

引用

页码：307 / 341

页数：34

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