Nonlinear transmission problem with a dissipative boundary condition of memory type

Autor: Doherty Andrade, Luci Harue Fatori, Jaime E. Munoz Rivera
Jazyk: angličtina
Rok vydání: 2006
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2006, Iss 53, Pp 1-16 (2006)
Druh dokumentu: article
ISSN: 1072-6691
Popis: We consider a differential equation that models a material consisting of two elastic components. One component is clamped while the other is in a viscoelastic fluid producing a dissipative mechanism on the boundary. So, we have a transmission problem with boundary damping condition of memory type. We prove the existence of a global solution and its uniformly decay to zero as time approaches infinity. More specifically, the solution decays exponentially provided the relaxation function decays exponentially.
Databáze: Directory of Open Access Journals