<div dir="ltr"><div><div>Değerli liste üyeleri,<br><br>Öğr. Gör. Dr. Pelin Geredeli'nin misafiri olarak bölümümüzü 07/02/2016-07/05/2016 tarihleri arasında <b>Tübitak 2221</b> programı kapsamında akademik izinli olarak ziyaret eden Prof. Dr. George Avalos, aşağıda ve ekte detayları verilen bir kouşma yapacaktır. İlgilenen herkes davetlidir.<br><br></div>En iyi dileklerimle,<br><br></div>mesut<br><br>
<p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:normal;background:white none repeat scroll 0% 0%"><b style="mso-bidi-font-weight:normal"><span style="font-size:14pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)">Tarih :</span></b><span style="font-size:14pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)"> 2.3.2016, Çarşamba (</span><span style="font-size:14pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)">Wednesday</span><span style="font-size:14pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)">)<span style="mso-spacerun:yes"> </span></span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:normal;background:white none repeat scroll 0% 0%"><b style="mso-bidi-font-weight:normal"><span style="font-size:14pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)">Saat :</span></b><span style="font-size:14pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)"> 15:00</span></p>
<p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:normal;background:white none repeat scroll 0% 0%"><b style="mso-bidi-font-weight:normal"><span style="font-size:14pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)">Yer :</span></b><span style="font-size:14pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)"> Yaşar ATAMAN Seminer
Salonu</span><br></p><br><div><div><div><br></div><div><b>Konuşmacı: Prof. Dr. George Avalos (University of Nebraska-Lincoln, USA)</b></div><div><b><br></b></div><div><b>Title: </b>Uniform Decay Rates for Smooth Solutions of a Structural Acoustics PDE Model </div><span><table><tbody><tr><td lang="EN-US"><div class=""><p class="MsoNormal"><b><br></b></p><p class="MsoNormal"><b>Abstract:</b>
A rate of rational decay is obtained for smooth solutions of a PDE
model which has been used in the literature to describe structural
acoustic flows. This structural acoustics model is composed of two
distinct PDE systems: (i) a wave equation, to model the interior
acoustic flow within the given cavity Ω; (ii) a structurally damped
elastic equation, to describe time-evolving displacements along the
flexible portion Γ₀ of the cavity walls. Moreover, the extent of damping
in this elastic component is quantified by parameter η<span style="font-family:"Cambria Math",serif">∈</span>[0,1].
The coupling between these two distinct dynamics occurs across the
boundary interface Γ₀. Our main result is the derivation of uniform
decay rates for classical solutions of this particular structural
acoustic PDE, decay rates which are obtained without incorporating any
additional boundary dissipative feedback mechanisms. In particular, in
the case that full Kelvin-Voight damping is present in fourth order
elastic dynamics -- i.e., the structural acoustics system as it appears
in the literature -- solutions which correspond to smooth initial data
decay at a rate of O(t^{-(1/6)}). By way of deriving these stability
results, necessary a priori inequalities for a certain static structural
acoustics PDE model are generated here; these inequalities ultimately
allow for an application of a recently derived resolvent criterion for
rational decay.</p></div></td></tr></tbody></table></span><div><div class="gmail_signature"><div dir="ltr"> <br><br> Mesut Sahin<div> Associate Professor<br> Department of Mathematics<br> Hacettepe University<br> TR 06800 Beytepe </div><div> ANKARA - TURKEY<br> <a href="http://yunus.hacettepe.edu.tr/~mesut.sahin" target="_blank">http://yunus.hacettepe.edu.tr/~mesut.sahin</a></div></div></div></div>
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