Seminar 5.10.2017: Eiji Yanagida
Posted: Wed Sep 27, 2017 12:19 pmSeminár 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.
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.