Inertial manifold for the motion of strongly damped nonlinear elastic beams |
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| Authors: | Giselle Bianchi Alfredo Marzocchi |
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| Affiliation: | (1) Dipartimento di Elettronica per l'Automazione, Università degli Studi di Brescia, I-25124 Brescia, Italy, IT;(2) Dipartimento di Matematica, Università Cattolica del S. Cuore, I-25121 Brescia, Italy, IT |
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| Abstract: | We consider a strongly damped semilinear equation arising in the theory of elastic beams. We prove the existence of an exponentially attracting finite-dimensional vector space in the Hilbert space of the solutions (a so-called inertial manifold), and provide some numerical estimates of the dimension of the manifold. Received January 20, 1997. |
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