Abstract
This work is focused on the doubly nonlinear equation , whose solutions represent the bending motion of an extensible, elastic bridge suspended by continuously distributed cables which are flexible and elastic with stiffness . When the ends are pinned, long-term dynamics is scrutinized for arbitrary values of axial load and stiffness . For a general external source , we prove the existence of bounded absorbing sets. When 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.
Citation
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
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