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Spectral analysis and exponential stability of one-dimensional wave equation with viscoelastic damping

✍ Scribed by Wang, Jing; Wang, Jun-Min

Book ID
120930205
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
308 KB
Volume
410
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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The paper considers a particular type of closed-loop for the wave equation in one space dimension with damping acting at an arbitrary internal point, for which the uniform stabilization with exponential decay rate is shown. Applications to chains of coupled strings are also discussed.

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✍ Jaime E. MuΓ±oz Rivera; Doherty Andrade πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 152 KB πŸ‘ 2 views

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