Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force

被引：42

作者：

Flandoli F. ^{[1
]}

Schmalfuß B. ^{[2
]}

机构：

[1] Dipartimento di Matematica Applicata, Università di Pisa, 56126 Pisa

[2] Fachhochschule Merseburg, FB Informatik und Angewandte Naturwissenschaften, 06217 Merseburg, Geusaer Strasse

来源：

Journal of Dynamics and Differential Equations | 1999年 / 11卷 / 2期

关键词：

Random attractor; Stochastic Navier-Stokes equation;

D O I：

10.1023/A:1021937715194

中图分类号：

学科分类号：

摘要：

A three-dimensional Navier-Stokes equation is considered. The forcing term is the derivative of a continuous function; the case of white noise is also considered. The aim is to prove the existence of weak solutions and to construct an attractor for the corresponding shift dynamical system in path space, following an idea of Sell. © 1999 Plenum Publishing Corporation.

引用

页码：355 / 398

页数：43

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