Random Dynamics of the Boussinesq System with Dynamical Boundary Conditions

被引：12

作者：

Brune, Peter ^{[1
]}

Duan, Jinqiao ^{[2
]}

Schmalfuss, Bjoern ^{[1
]}

机构：

[1] Inst Math Fak EIM, D-33098 Paderborn, Germany

[2] IIT, Dept Appl Math, Chicago, IL 60616 USA

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2009年 / 27卷 / 05期

关键词：

Boussinesq equations; Cocycle; Random attractors; Random dynamical boundary conditions; Stochastic partial differential equations; Thermohaline circulation; BENARD-PROBLEM; ATTRACTORS;

D O I：

10.1080/07362990902976546

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A coupled system of the two-dimensional Navier-Stokes equations and the salinity transport equation with spatially correlated white noise on the boundary as well as in fluid is investigated. The noise affects the system through a dynamical boundary condition. This system may be considered as a model for gravity currents in oceanic fluids. The noise is due to uncertainty in salinity flux on fluid boundary. After transforming this system into a random dynamical system, we first obtain asymptotic estimates on system evolution, and then show that the long time dynamics is captured by a random attractor.

引用

页码：1096 / 1116

页数：21

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