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Geometric Analysis and Partial Differential Equations Seminar
October 14, 2014 @ 10:30 am - 11:30 pm
Prof Yihong Du (University of New England)
Reaction-diffusion equations and spreading of species
I will start by reviewing some classical works (of Fisher, Kolmogorov-Petrovsky-Piscunov, and Skellam) on travelling waves and constant spreading speed. I will then look at the theory of Aronson-Weinberger that describes the spreading by suitable Cauchy problems. Finally, I will describe some recent theory obtained with my collaborators based on free boundary value problems, and compare it with results arising from the Cauchy problem along the lines of Aronson-Weinberger.