Seminar on Qualitative Theory of Differential Equations - Eiji Yanagida (5.10.2017)

Thursday 5.10.2017 at 14:00 hod., Lecture room M/223

27. 09. 2017 14.41 hod.
By: Pavol Quittner

Eiji Yanagida (Tokyo Institute of Technology):
Realizability of interfaces in the Fisher-KPP equation

Abstract:
This talk is concerned with the behavior of interfaces in the Fisher-KPP equation when initial data vary slowly in space. We first show that in a certain singular limit, the interfacial dynamics can be described by using the level set of a Hamilton-Jacobi equation. Then by the method of characteristics, it is shown that various (but not all) motion of interfaces is realizable.