Applied Mathematics Seminar

Speaker: Yihong Du, University of New England, Australia

Title: Reaction-diffusion equations and spreading of species

Abstract: In this talk, I will firstly give a brief review of some
pioneering works (of Fisher, Kolmogorov-Petrovsky-Piscunov, and Skellam)
on traveling waves and constant spreading speed. Then I will look at the
theory of Aronson-Weinberger that models the spreading by suitable Cauchy
problems. Finally I will describe some recent theory obtained with my
collaborators based on nonlinear free boundary problems, and compare it with
results arising from the Cauchy problem along the lines of Aronson-Weinberger.