Global Existence and Asymptotic Behavior of Solutions for the Cauchy Problem of a Dissipative Boussinesq-Type Equation

We consider the Cauchy problem for a Boussinesq-type equation modeling bidirectional surface waves in a convecting fluid. Under small condition on the initial value, the existence and asymptotic behavior of global solutions in some time weighted spaces are established by the contraction mapping prin...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 22; no. 4; pp. 441 - 463
Main Authors Esfahani, Amin, Mohammadi, Hamideh B.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 04.07.2017
Vilnius Gediminas Technical University
Subjects
Approximation
asymptotic behavior
Asymptotic expansions
Cauchy problem
dissipative Boussinesq equation
Existence theorems
Mathematical research
Sobolev spaces
dissipative Boussinesq equation
Sobolev spaces
asymptotic behavior
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Summary:We consider the Cauchy problem for a Boussinesq-type equation modeling bidirectional surface waves in a convecting fluid. Under small condition on the initial value, the existence and asymptotic behavior of global solutions in some time weighted spaces are established by the contraction mapping principle.
ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2017.1319882