Global Existence and Asymptotic Behavior of Solutions for the Cauchy Problem of a Dissipative Boussinesq-Type Equation
Abstract
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.
Keywords:
dissipative Boussinesq equation, asymptotic behavior, Sobolev spacesHow to Cite
Esfahani, A., & Mohammadi, H. B. (2017). Global Existence and Asymptotic Behavior of Solutions for the Cauchy Problem of a Dissipative Boussinesq-Type Equation. Mathematical Modelling and Analysis, 22(4), 441-463. https://doi.org/10.3846/13926292.2017.1319882
Share
License
Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
View article in other formats
CrossMark check
Published
2017-07-03
Issue
Section
Articles
Copyright
Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Esfahani, A., & Mohammadi, H. B. (2017). Global Existence and Asymptotic Behavior of Solutions for the Cauchy Problem of a Dissipative Boussinesq-Type Equation. Mathematical Modelling and Analysis, 22(4), 441-463. https://doi.org/10.3846/13926292.2017.1319882