<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-9">
<meta name="Generator" content="Microsoft Word 12 (filtered medium)">
<style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
{font-family:Consolas;
panose-1:2 11 6 9 2 2 4 3 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0cm;
margin-bottom:.0001pt;
font-size:11.0pt;
font-family:"Calibri","sans-serif";}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:blue;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-priority:99;
color:purple;
text-decoration:underline;}
p.MsoPlainText, li.MsoPlainText, div.MsoPlainText
{mso-style-priority:99;
mso-style-link:"Düz Metin Char";
mso-margin-top-alt:auto;
margin-right:0cm;
mso-margin-bottom-alt:auto;
margin-left:0cm;
font-size:12.0pt;
font-family:"Times New Roman","serif";}
p
{mso-style-priority:99;
mso-margin-top-alt:auto;
margin-right:0cm;
mso-margin-bottom-alt:auto;
margin-left:0cm;
font-size:12.0pt;
font-family:"Times New Roman","serif";}
span.DzMetinChar
{mso-style-name:"Düz Metin Char";
mso-style-priority:99;
mso-style-link:"Düz Metin";
font-family:Consolas;}
p.msoplantext, li.msoplantext, div.msoplantext
{mso-style-name:msoplaıntext;
mso-style-priority:99;
mso-style-link:"Düz Metin Char";
margin:0cm;
margin-bottom:.0001pt;
font-size:10.5pt;
font-family:Consolas;}
span.msohyperlnk
{mso-style-name:msohyperlınk;
mso-style-priority:99;
color:blue;
text-decoration:underline;}
span.msohyperlnkfollowed
{mso-style-name:msohyperlınkfollowed;
mso-style-priority:99;
color:purple;
text-decoration:underline;}
span.E-postaStili22
{mso-style-type:personal;
font-family:"Calibri","sans-serif";
color:windowtext;}
span.DzMetinChar1
{mso-style-name:"Düz Metin Char1";
mso-style-priority:99;
mso-style-link:"Düz Metin";
font-family:Consolas;}
span.E-postaStili25
{mso-style-type:personal-reply;
font-family:"Calibri","sans-serif";
color:#1F497D;}
.MsoChpDefault
{mso-style-type:export-only;
font-size:10.0pt;}
@page WordSection1
{size:612.0pt 792.0pt;
margin:70.85pt 70.85pt 70.85pt 70.85pt;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body lang="TR" link="blue" vlink="purple">
<div class="WordSection1">
<p class="MsoNormal"><o:p> </o:p></p>
<div>
<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Times New Roman","serif"">Degerli liste uyeleri,<o:p></o:p></span></p>
<p style="background:white">Istanbul Diferansiyel Denklemler Seminerleri, <o:p></o:p></p>
<p style="background:white"><b>5 Şubat Cuma, saat 13.00 da, Sabancı Universitesi Karakoy Minerva Palas binasinda (Bankalar Caddesi 2, Karakoy 34420, Istanbul) basliyor.
<o:p></o:p></b></p>
<p style="background:white">Seminerin detaylari asagidadir. Ilgilenen herkes davetlidir.
<o:p></o:p></p>
<p style="background:white">Nilay Duruk<o:p></o:p></p>
<p style="background:white"><o:p> </o:p></p>
<p style="background:white"><b>Konusmaci:</b> Atanas Stefanov, University of Kansas<o:p></o:p></p>
<p style="background:white"><b>Baslik:</b> Travelling waves for granular chains<o:p></o:p></p>
<p class="MsoPlainText"><o:p> </o:p></p>
<p class="MsoPlainText"><b>Ozet:</b> In this talk, we consider a model of granular chains interacting only with the nearest neighbour through a Hertzian force (physically, one should think about an infinite line of tightly packed metal beads). This is a
highly non-linear model, for which we show that travelling waves exist. In addition, we show such waves are bell-shaped and in some cases, they are compactons (i.e. have an unusual double exponential rate of decay). We also consider the same issues for more
sophisticated models (with pre-compressed beads), as well as the mass-in-mass system (in which each bead has an internal mass embedded into it).<o:p></o:p></p>
<p class="MsoPlainText">Our approach is through calculus of variations for the corresponding non-standard functionals, but some simple Fourier analysis comes into play as well. This is based on a series of papers with Panos Kevrekidis (University of Massachusetts).<o:p></o:p></p>
<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Times New Roman","serif""><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Times New Roman","serif""><o:p> </o:p></span></p>
</div>
</div>
</body>
</html>