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 t...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.814-818
Main Authors: Wang, Yu-Zhu, Zhang, Qingnian
Format: Article
Language:English
Subjects:
Boundary value problems
Cauchy problem
Mathematical research
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Summary: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 n≥3.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/154102