Long-Term Damped Dynamics of the Extensible Suspension Bridge

This work is focused on the doubly nonlinear equation 𝜕𝑡𝑡𝑢+𝜕𝑥𝑥𝑥𝑥𝑢+(𝑝−‖𝜕𝑥𝑢‖2𝐿2(0,1))𝜕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, l...

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Bibliographic Details
Main Authors: Ivana Bochicchio, Claudio Giorgi, Elena Vuk
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2010/383420
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