A PDE system modeling the dynamics of an extensible beam hav- ing one of its ends constrained between two stops is considered. The existence of a weak global-in-time solution is established by a penalization method. In addition, the asymptotic behavior of such a solution is analyzed and the exponential decay rate for the related energy is shown.
Vibrations of a Damped Extensible Beam Between Two Stops
BERTI, ALESSIA;
2013-01-01
Abstract
A PDE system modeling the dynamics of an extensible beam hav- ing one of its ends constrained between two stops is considered. The existence of a weak global-in-time solution is established by a penalization method. In addition, the asymptotic behavior of such a solution is analyzed and the exponential decay rate for the related energy is shown.File in questo prodotto:
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