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

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 pri...

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Bibliographic Details
Main Authors: Amin Esfahani, Hamideh B. Mohammadi
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2017-07-01
Series:Mathematical Modelling and Analysis
Subjects:
dissipative Boussinesq equation
asymptotic behavior
Sobolev spaces
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/906

Internet

https://journals.vgtu.lt/index.php/MMA/article/view/906

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