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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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2013/154102 |
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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 |
_version_ |
1725408480319242240 |