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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Transition fronts and their universality classes -
Anna Vainchtein (University of Pittsburgh)
DTSTART;TZID=Europe/London:20220713T103000
DTEND;TZID=Europe/London:20220713T110000
UID:TALK175862AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/175862
DESCRIPTION:Steadily moving transition fronts\, bringing local
transformation\, symmetry breaking or collapse\,
are among the most important dynamic coherent stru
ctures. Nonlinear waves of this type play a major
role in many modern applications involving the tra
nsmission of mechanical information in systems ran
ging from crystal lattices and metamaterials to ci
vil engineering structures. While many different c
lasses of such dynamic fronts are known\, the rela
tion between them remains obscure.\nIn this talk I
will consider a prototypical mechanical system\,
the FPU chain with piecewise linear nonlinearity\,
and show that there are exactly three distinct cl
asses of transition fronts\, which differ fundamen
tally in how (and whether) they produce and transp
ort oscillations. The availability of all three ty
pes of fronts as explicit solutions of the discret
e problem enables identification of the exact math
ematical origin of the particular features of each
class. I will also discuss a quasicontinuum appro
ximation of the FPU model that captures all three
classes of the fronts and the relation between the
m. The talk is based on recent joint work with N.
Gorbushin and L. Truskinovsky (ESPCI). \;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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