Exponential Energy Decay of the Euler-Bernoulli Beam with Shear Diffusion/Thermal Dissipation

Zhuangyi Liu, Songmu Zheng

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

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 C0-semigroup being exponential stable to show that the energy associated with these models decays exponentially. A remarkable feature of the proof is that the argument does not need a positive gap of eigenvalues of the related operator as before. Therefore, it throws light on the problems in higher space dimensions.

Original languageEnglish (US)
Pages (from-to)467-478
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume196
Issue number2
DOIs
StatePublished - Dec 1 1995

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