Nonlinear transmission problem with a dissipative boundary condition of memory type
Date
2006-04-28
Authors
Andrade, Doherty
Fatori, Luci H.
Munoz Rivera, Jaime E.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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.
Description
Keywords
Wave equation, Asymptotic behavior, Memory
Citation
Andrade, D., Fatori, L. H., & Muñoz Rivera, J. E. (2006). Nonlinear transmission problem with a dissipative boundary condition of memory type. <i>Electronic Journal of Differential Equations, 2006</i>(53), pp. 1-16.
Rights
Attribution 4.0 International