School of Mathematical Sciences
Monday, January 11, 2016
Schreiber 007 (note the unusual lecture room!), 12:15
Tel Aviv University
Emergence of Compact Patterns
Abstract: Solitons, kinks
or breathers, are manifestations of weakly nonlinear excitations which,
for instance, arise in weakly anharmonic mass-particle chains. In
strongly anharmonic chains the tails of the emerging patterns decay at
a super-exponential rate. In the continuum limit the tail zone shrinks
into a singularity where the nonlinear dispersion due to discreteness
degenerates and the resulting solitary waves become strictly compact.
Hence their name: compactons.
Unlike solitons, compactons may exist in any dimension. We shall show
how multidimensional compactons emergence and interact. Some physical
systems where such phenomena happen will be described. Notably, many of
the compact patterns emerge in the continuum limit out of discrete
dynamical systems. Such systems may be found in physics, biology or
For a popular introduction see: What is a Compacton, Notices of the AMS, Vol. 52, #7, pp 738, 2005.
Coffee will be served at 12:00 before the lecture
at Schreiber building 007