Applied Analysis

Seminar information archive ~03/27Next seminarFuture seminars 03/28~

Date, time & place Thursday 16:00 - 17:30 002Room #002 (Graduate School of Math. Sci. Bldg.)

2015/11/05

16:00-17:30   Room #123 (Graduate School of Math. Sci. Bldg.)
Henri Berestycki (EHESS)
The effect of a line with fast diffusion on Fisher-KPP propagation (ENGLISH)
[ Abstract ]
I will present a system of equations describing the effect of inclusion of a line (the "road") with fast diffusion on biological invasions in the plane. Outside of the road, the propagation is of the classical Fisher-KPP type. We find that past a certain precise threshold for the ratio of diffusivity coefficients, the presence of the road enhances the speed of global propagation. I will discuss several further effects such as transport or reaction on the road. I will also discuss the influence of various parameters on the asymptotic behaviour of the invasion speed and shape. I report here on results from a series of joint works with Jean-Michel Roquejoffre and Luca Rossi.