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 language | English (US) |
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Pages (from-to) | 467-478 |
Number of pages | 12 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 196 |
Issue number | 2 |
DOIs | |
State | Published - Dec 1 1995 |