Asymptotic behavior of global solutions to the Boussinesq equation in multidimensions
type: Item
instance of: scholarly article
title: Asymptotic behavior of global solutions to the Boussinesq equation in multidimensions
zbMATH Open document ID: 1297.35043
DOI: 10.1155/2013/154102
author: Yu-Zhu Wang
author: Qingnian Zhang
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: 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 \(n\geq 3\).
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6306069
zbMATH Keywords: small initial data
zbMATH Keywords: Cauchy problem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/154102
OpenAlex ID: W2039851851
Wikidata QID: Q58915379
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description: scientific article; zbMATH DE number 6306069