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

• Published in: Mathematical modelling and analysis Vol. 22; no. 4; pp. 441 - 463
• Main Authors: Esfahani, Amin, Mohammadi, Hamideh B.
• Format: Journal Article
• Language: English
• 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

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...