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.