Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 4

Existence, global nonexistence, and asymptotic behavior of solutions for the Cauchy problem of a multidimensional generalized damped Boussinesq-type equation

Pages
706–727
DOI
—

Abstract

We consider the existence, both locally and globally in time, the global nonexistence, and the asymptotic behavior of solutions for the Cauchy problem of a multidimensional generalized Boussinesq-type equation with a damping term.

Özet

We consider the existence, both locally and globally in time, the global nonexistence, and the asymptotic behavior of solutions for the Cauchy problem of a multidimensional generalized Boussinesq-type equation with a damping term.

Keywords: Existence, global nonexistence, asymptotic behavior, Boussinesq equations, damping term