Technion - Israel Institute of Technology
          Department of Mathematics
DATE: Tuesday, November 22, 2011
SPEAKER: Lenya Ryzhik, Stanford
TITLE: KPP spreading rate in a periodic environment
PLACE: Room 814, Amado Mathematics Building, Technion
TIME: 14:30
ABSTRACT: It is well known since the celebrated paper by Bramson that
solutions of the KPP type reaction-diffusion equations with compactly
supported initial data lag by distance $(3/2)\log t$ behind the
corresponding traveling front. An interesting open problem is whether
similar results on the discrepancy between the solutions of the
nonlinear and linearized problems hold in heterogeneous media. As a
first small step in this direction we consider this problem in a
periodic environment and show that the delay is still logarithmic in
time. This is a joint work with F. Hamel, J. Nolen and J.-M.
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