<div dir="ltr"><br>Segnalo il seguente seminario organizzato dal Politecnico di Milano.<div><br></div><div>Cordiali saluti,</div><div>Stefano Lisini.</div><div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr"><br></div><br>
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<div>Inizio messaggio inoltrato:</div>
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<span style="font-family:-webkit-system-font,Helvetica Neue,Helvetica,sans-serif;color:rgba(0,0,0,1.0)"><b>Da:
</b></span><span style="font-family:-webkit-system-font,Helvetica Neue,Helvetica,sans-serif">Iniziative di Dipartimento <<a href="mailto:fabio.cipriani@polimi.it" target="_blank">fabio.cipriani@polimi.it</a>><br>
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<span style="font-family:-webkit-system-font,Helvetica Neue,Helvetica,sans-serif;color:rgba(0,0,0,1.0)"><b>Oggetto:
</b></span><span style="font-family:-webkit-system-font,Helvetica Neue,Helvetica,sans-serif"><b>Avviso di seminario</b><br>
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<span style="font-family:-webkit-system-font,Helvetica Neue,Helvetica,sans-serif;color:rgba(0,0,0,1.0)"><b>Data:
</b></span><span style="font-family:-webkit-system-font,Helvetica Neue,Helvetica,sans-serif">12 aprile 2021 16:55:39 CEST<br>
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<span style="font-family:-webkit-system-font,Helvetica Neue,Helvetica,sans-serif;color:rgba(0,0,0,1.0)"><b>Rispondi a:
</b></span><span style="font-family:-webkit-system-font,Helvetica Neue,Helvetica,sans-serif">Iniziative di Dipartimento <<a href="mailto:fabio.cipriani@polimi.it" target="_blank">fabio.cipriani@polimi.it</a>><br>
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<div>Si avvisa che in data 14/4/2021, alle ore 15:15 precise, <a href="https://polimi-it.zoom.us/j/82401456185?pwd=MS90c0hET3dXV0xxcmN5RTlqUGhQQT09" target="_blank">
link</a> , nell'ambito delle iniziative della sezione di Analisi, si svolgerà il seguente seminario:<br>
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Modal analysis of some nonlinear beam equations<br>
Matteo Fogato, Dipartimento di Matematica, Politecnico di Milano<br>
We consider the equation $u_{tt}+\\delta u_t +\\|A^{\\theta/2}u\\|^2 A^\\theta u=g$ where $A^2$ is a diagonal, self-adjoint and positive-definite operator, $\\theta\\in [0,1]$ and we study some finite-dimensional approximations of the problem. First, we analyze
the dynamics in the case when the forcing term $g$ is a combination of a finite number of modes. Next, we estimate the error we commit by neglecting the modes larger than a given $N$. We then prove, for a particular class of forcing terms, a theoretical result
allowing to study the distribution of the energy among the modes and, with this background, we refine the results.<br>
Some generalizations and applications to the study of the stability of suspension bridges are given.<br>
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È gradita la sua partecipazione.<br>
Cordiali saluti. </div>
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