A talk by Dr. Yihong Du - UNE (Australia)

A talk by Dr. Yihong Du - Department of Mathematics, New England University, Australia

In this talk I will report some recent results on the rate of spreading of the nonlocal Fisher-KPP equation with free boundary and radial symmetry. It is well known that the local diffusion version of this problem always has a finite spreading speed, determined by the associated traveling wave solutions. This is no longer the case for the nonlocal diffusion problem, whose spreading speed may or may not be finite, depending on whether a certain threshold condition is satisfied by the kernel function in the diffusion term. I will present some sharp estimates on the rate of spreading for the nonlocal problem and reveal some fundamental changes of behavior between dimension one and high dimensions. This is joint work with Dr Wenjie Ni