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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/154102 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566611539656704 |
|---|---|
| author | Yu-Zhu Wang Qingnian Zhang |
| author_facet | Yu-Zhu Wang Qingnian Zhang |
| author_sort | Yu-Zhu Wang |
| collection | DOAJ |
| 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 . |
| format | Article |
| id | doaj-art-4c7601e7fd9c4526ba7903362edee426 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4c7601e7fd9c4526ba7903362edee4262025-02-03T01:03:43ZengWileyAbstract 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 |
| spellingShingle | Yu-Zhu Wang Qingnian Zhang Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions Abstract and Applied Analysis |
| title | 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_short | Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions |
| title_sort | asymptotic behavior of global solutions to the boussinesq equation in multidimensions |
| url | http://dx.doi.org/10.1155/2013/154102 |
| work_keys_str_mv | AT yuzhuwang asymptoticbehaviorofglobalsolutionstotheboussinesqequationinmultidimensions AT qingnianzhang asymptoticbehaviorofglobalsolutionstotheboussinesqequationinmultidimensions |