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.
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页码：1096 / 1116
页数：21
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