[Turkmath:958] Istanbul Diferansiyel Denklemler Seminerleri
Nilay DURUK
nilay.duruk at kemerburgaz.edu.tr
Mon Jan 25 09:26:08 UTC 2016
Degerli liste uyeleri,
Istanbul Diferansiyel Denklemler Seminerleri,
5 Şubat Cuma, saat 13.00 da, Sabancı Universitesi Karakoy Minerva Palas binasinda (Bankalar Caddesi 2, Karakoy 34420, Istanbul) basliyor.
Seminerin detaylari asagidadir. Ilgilenen herkes davetlidir.
Nilay Duruk
Konusmaci: Atanas Stefanov, University of Kansas
Baslik: Travelling waves for granular chains
Ozet: 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).
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).
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