We study the asymptotic behavior of a linear elastic medium with a boundary condition with memory. By introducing a boundary free energy, we prove that, if the memory kernel $lambda$ exponentially decays and the domain is strongly star shaped, then the energy exponentially decays. We also prove that the exponential decay of $lambda$ is a necessary condition for the exponential decay of the solution.
A viscous boundary condition with memory in linear elasticity
BOSELLO, CARLO ALBERTO;LAZZARI, BARBARA;NIBBI, ROBERTA
2007
Abstract
We study the asymptotic behavior of a linear elastic medium with a boundary condition with memory. By introducing a boundary free energy, we prove that, if the memory kernel $lambda$ exponentially decays and the domain is strongly star shaped, then the energy exponentially decays. We also prove that the exponential decay of $lambda$ is a necessary condition for the exponential decay of the solution.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
