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2010 Long-Term Damped Dynamics of the Extensible Suspension Bridge
Ivana Bochicchio, Claudio Giorgi, Elena Vuk
Int. J. Differ. Equ. 2010: 1-19 (2010). DOI: 10.1155/2010/383420

Abstract

This work is focused on the doubly nonlinear equation ttu+xxxxu+(p-xuL2(0,1)2)xxu+tu+k2u+=f, whose solutions represent the bending motion of an extensible, elastic bridge suspended by continuously distributed cables which are flexible and elastic with stiffness k2. When the ends are pinned, long-term dynamics is scrutinized for arbitrary values of axial load p and stiffness k2. For a general external source f, we prove the existence of bounded absorbing sets. When f is time-independent, the related semigroup of solutions is shown to possess the global attractor of optimal regularity and its characterization is given in terms of the steady states of the problem.

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Ivana Bochicchio. Claudio Giorgi. Elena Vuk. "Long-Term Damped Dynamics of the Extensible Suspension Bridge." Int. J. Differ. Equ. 2010 1 - 19, 2010. https://doi.org/10.1155/2010/383420

Information

Received: 29 September 2009; Revised: 14 December 2009; Accepted: 14 January 2010; Published: 2010
First available in Project Euclid: 26 January 2017

zbMATH: 1225.35152
MathSciNet: MR2607725
Digital Object Identifier: 10.1155/2010/383420

Rights: Copyright © 2010 Hindawi

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