Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises

Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises

This paper investigates the existence of random attractor for stochastic Boussinesq equations driven by multiplicative white noises in both the velocity and temperature equations and estimates the Hausdorff dimension of the random attractor.

Bibliographic Details
Main Authors: Yin Li, Ruiying Wei, Donghong Cai
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/1832840
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spelling doaj-203f7a6f9eab4f50b48cf33b637dcf1c2020-11-24T23:55:50ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/18328401832840Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White NoisesYin Li0Ruiying Wei1Donghong Cai2School of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, ChinaSchool of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, ChinaDepartment of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaThis paper investigates the existence of random attractor for stochastic Boussinesq equations driven by multiplicative white noises in both the velocity and temperature equations and estimates the Hausdorff dimension of the random attractor.http://dx.doi.org/10.1155/2016/1832840
collection DOAJ
language English
format Article
sources DOAJ
author Yin Li
Ruiying Wei
Donghong Cai
spellingShingle Yin Li
Ruiying Wei
Donghong Cai
Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises
Journal of Function Spaces
author_facet Yin Li
Ruiying Wei
Donghong Cai
author_sort Yin Li
title Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises
title_short Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises
title_full Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises
title_fullStr Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises
title_full_unstemmed Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises
title_sort hausdorff dimension of a random attractor for stochastic boussinesq equations with double multiplicative white noises
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2016-01-01
description This paper investigates the existence of random attractor for stochastic Boussinesq equations driven by multiplicative white noises in both the velocity and temperature equations and estimates the Hausdorff dimension of the random attractor.
url http://dx.doi.org/10.1155/2016/1832840
work_keys_str_mv AT yinli hausdorffdimensionofarandomattractorforstochasticboussinesqequationswithdoublemultiplicativewhitenoises
AT ruiyingwei hausdorffdimensionofarandomattractorforstochasticboussinesqequationswithdoublemultiplicativewhitenoises
AT donghongcai hausdorffdimensionofarandomattractorforstochasticboussinesqequationswithdoublemultiplicativewhitenoises
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