Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions

Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions

The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove the asymptotic behavior of the global solutions provided that the initial data are suitably small. Moreover, our global solutions can be approximated by the solutions to the corresponding linear equation as...

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Main Authors: Yu-Zhu Wang, Qingnian Zhang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/154102
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spelling doaj-4c7601e7fd9c4526ba7903362edee4262020-11-25T00:10:17ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/154102154102Asymptotic Behavior of Global Solutions to the Boussinesq Equation in MultidimensionsYu-Zhu Wang0Qingnian Zhang1School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, ChinaSchool of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, ChinaThe Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove the asymptotic behavior of the global solutions provided that the initial data are suitably small. Moreover, our global solutions can be approximated by the solutions to the corresponding linear equation as time tends to infinity when the dimension of space .http://dx.doi.org/10.1155/2013/154102
collection DOAJ
language English
format Article
sources DOAJ
author Yu-Zhu Wang
Qingnian Zhang
spellingShingle Yu-Zhu Wang
Qingnian Zhang
Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions
Abstract and Applied Analysis
author_facet Yu-Zhu Wang
Qingnian Zhang
author_sort Yu-Zhu Wang
title Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions
title_short Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions
title_full Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions
title_fullStr Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions
title_full_unstemmed Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions
title_sort asymptotic behavior of global solutions to the boussinesq equation in multidimensions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove the asymptotic behavior of the global solutions provided that the initial data are suitably small. Moreover, our global solutions can be approximated by the solutions to the corresponding linear equation as time tends to infinity when the dimension of space .
url http://dx.doi.org/10.1155/2013/154102
work_keys_str_mv AT yuzhuwang asymptoticbehaviorofglobalsolutionstotheboussinesqequationinmultidimensions
AT qingnianzhang asymptoticbehaviorofglobalsolutionstotheboussinesqequationinmultidimensions
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