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On the exponential decay of the Euler–Bernoulli beam with boundary energy dissipation

✍ Scribed by Barbara Lazzari; Roberta Nibbi


Book ID
113721822
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
151 KB
Volume
389
Category
Article
ISSN
0022-247X

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Exponential Energy Decay of the Euler-Be
✍ Z.Y. Liu; S.M. Zheng 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 328 KB

In this paper, we study the asymptotic behavior of the Euler-Bernoulli elastic beam model coupled a diffusion and/or a dissipation process. We then use a necessary and sufficient condition for a \(C_{0}\)-semigroup being exponential stable to show that the energy associated with these models decays