## Abstract We consider the following nonlinear viscoelastic equation equation image together with Dirichletβboundary conditions, in a bounded domain Ξ© and __Ο__ > 0. We prove an exponential decay result for a class of relaxation functions. Our result is established without imposing the usual rel
Exponential decay for a viscoelastic problem with a singular kernel
β Scribed by Nasser-eddine Tatar
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 186 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0044-2275
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We consider a linear viscoelastic material whose relaxation function may exhibit an initial singularity. We show that the Laplace transform method is still applicable in order to study existence, uniqueness and asymptotic behaviour of the solution to the dynamic problem. In order to provide these re
We study in this paper the global existence and exponential decay of solutions of the non-linear unidimensional wave equation with a viscoelastic boundary condition. We prove that the dissipation induced by the memory e!ect is strong enough to secure global estimates, which allow us to show existenc