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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Bibliographic Details
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