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

Author

Esfahani, Amin and Mohammadi, Hamideh B.

Subjects
*CAUCHY problem, *BOUSSINESQ equations, *SURFACE waves (Fluids), *SOBOLEV spaces, *GALILEAN relativity
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. [ABSTRACT FROM PUBLISHER]

Published
2017
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