The spreading speed of solutions of the non-local Fisher KPP equation

Seminar series

PDE CDT Lunchtime Seminar

Date

Thu, 16 Feb 2017
12:00

Location

Speaker

Sarah Penington

Organisation

University of Oxford

The non-local Fisher KPP equation is used to model non-local interaction and competition in a population. I will discuss recent work on solutions of this equation with a compactly supported initial condition, which strengthens results on the spreading speed obtained by Hamel and Ryzhik in 2013. The proofs are probabilistic, using a Feynman-Kac formula and some ideas from Bramson's 1983 work on the (local) Fisher KPP equation.