Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations
Thursday 5.10.2017 at 14:00 Lecture room M-223
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.