## IMA Postdoc Seminar (March 09, 2010)

**Speaker:** Kim, Hyejin (IMA)

**Title:** Asymptotic Problems for Stochastic Processes and Related Differential Equations.

**Abstract:** We consider the wave front propagation problem in a narrow periodic domain with
the reaction term of Kolmogorov, Petrovskii and Piskunov
(KPP) type. We focus on how non-smooth periodic boundary of a
narrow tube can affect the asymptotic speed of wave front propagation. Under a
non-smooth
periodic boundary, the limit of solutions of initial-boundary problems is
expected
to satisfy a parabolic equation with a generalized second order operator
introduced by
W. Feller, instead of a classical second order elliptic one.