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 / C.A. Bosello; B. Lazzari; R. Nibbi. - In: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE. - ISSN 0020-7225. - STAMPA. - 45:(2007), pp. 94-110. [10.1016/j.ijengsci.2006.07.013]
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:
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