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PRODID:-//Memento EPFL//
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SUMMARY:On phase-transition waves in FPU-type chains
DTSTART:20150508T151500
DTSTAMP:20260509T054408Z
UID:2578dae0b96d58b84791053333117f9da849de7e582d62af695b9f24
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Hartmut Schwetlick\, University of Bath\, UK\nWe conside
 r travelling wave solutions for the Fermi-Pasta-Ulam lattice\, the elastic
 ity model of a 1-dimensional atomic chain.\nAs they play the role of phase
 -transition in the case of a non-convex\, multi-well interaction potential
  such structures play an important role in material science to provide sui
 table kinetic relations for more complex elastic models. The non-convex ca
 se is little studied and most results are confined to piecewise quadratic 
 potentials.\nIn the talk I will provide a brief introduction in these resu
 lts and extend the study to a genuine nonlinear perturbation of the bi-qua
 dratic double well potential.\nWe show that the full family of waves for t
 he unperturbed problem persists under a sufficiently small pertutbation an
 d discuss their implications to find the kinetic relation for the perturbe
 d case.\nThis is joint work with M Herrmann\, K Matthies and J Zimmer.
LOCATION:MA A3 31
STATUS:CONFIRMED
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