University of Birmingham > Talks@bham > Applied Mathematics Seminar Series > Slow travelling wave solutions of the nonlocal Fisher-KPP equation

## Slow travelling wave solutions of the nonlocal Fisher-KPP equationAdd to your list(s) Download to your calendar using vCal - John Billingham, University of Nottingham
- Thursday 05 December 2019, 13:00-14:00
- Nuffield G13.
If you have a question about this talk, please contact Fabian Spill. In this talk I will discuss travelling wave solutions, u = U(x-ct), of the nonlocal Fisher-KPP equation in one spatial dimension, u_t = D u_xx + u(1-phi
The formal method of matched asymptotic expansions and numerical methods can be used to solve the travelling wave equation for various kernels, phi(x), when c << 1. The most interesting feature of the leading order solution behind the wavefront is a sequence of tall, narrow spikes with O(1) weight, separated by regions where U is exponentially small. The regularity of phi(x) at x=0 is a key factor in determining the number and spacing of the spikes, and the spatial extent of the region where spikes exist. This talk is part of the Applied Mathematics Seminar Series series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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