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

    Amin Esfahani Info
    Hamideh B. Mohammadi Info
DOI: https://doi.org/10.3846/13926292.2017.1319882

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 spaces

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

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Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.

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Published

2017-07-03

Issue

Vol 22 No 4 (2017)

Section

Articles

Copyright

Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons 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

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