[Turkmath:1042] Hacettepe Matematik Semineri: 2 Mart, Prof. George Avalos (University of Nebraska-Lincoln, USA)

[Mesut Şahin]

Değerli liste üyeleri,

Öğr. Gör. Dr. Pelin Geredeli'nin misafiri olarak bölümümüzü
07/02/2016-07/05/2016 tarihleri arasında *Tübitak 2221* programı
kapsamında akademik izinli olarak ziyaret eden Prof. Dr. George Avalos,
aşağıda ve ekte detayları verilen bir kouşma yapacaktır. İlgilenen herkes
davetlidir.

En iyi dileklerimle,

mesut

*Tarih :* 2.3.2016, Çarşamba (Wednesday)

*Saat :* 15:00

*Yer :* Yaşar ATAMAN Seminer Salonu


*Konuşmacı: Prof. Dr. George Avalos (University of Nebraska-Lincoln, USA)*

*Title: *Uniform Decay Rates for Smooth Solutions of a Structural Acoustics
PDE Model


*Abstract:* 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∈[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.


  Mesut Sahin
  Associate Professor
  Department of Mathematics
  Hacettepe University
  TR 06800 Beytepe
  ANKARA - TURKEY
 http://yunus.hacettepe.edu.tr/~mesut.sahin
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20160225/17db138e/attachment-0001.html>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: Avalos, 2016.docx
Type: application/vnd.openxmlformats-officedocument.wordprocessingml.document
Size: 51879 bytes
Desc: not available
URL: <http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20160225/17db138e/attachment-0001.docx>