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报告题目: Long-time behavior of partially damped systems modeling degenerate plates with piers
报 告 人: Professor Filippo Gazzola
报告人所在单位: The Polytechnic University of Milan
报告日期: 2022-04-28
报告时间: 21:00 - 22:00
报告地点: ZOOM Id: 836 7313 8944 Passcode: 808818
   
报告摘要:

We consider a partially damped nonlinear beam-wave system of evolution PDE's modeling the dynamics of a degenerate plate. The plate can move both vertically and torsionally and, consequently, the solution has two components. We show that the component from the damped beam equation always vanishes asymptotically while the component from the (undamped) wave equation does not. In the case of small energies, we show that the first component vanishes at exponential rate. Our results highlight that partial damping is not enough to steer the whole solution to rest and that the partially damped system can be less stable than the undamped system. Hence, the model and the behavior of the solution enter in the framework of the so-called indirect damping and destabilization paradox. These phenomena are valorized by a physical interpretation leading to possible new explanations of the Tacoma Narrows Bridge collapse.

4.28.pdf


   
本年度学院报告总序号: 455

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