Partial Differential Equations and Applied Mathematics Seminar
Date/Time: April 15th, Fri., 4:00~ 5:00 PM
Location: Science Building #254 Yonsei University
Speaker: Prof. Soyeun Jung
Affiliation: 공주대학교(국제학부, 금융공학과)
Title: Pointwise nonlinear stability of modulational periodic traveling waves of reaction-diffusion systems
In this talk, we show that the spectral stability implies nonlinear modulational stability of periodic traveling waves of systems of reaction-diffusion equations under small perturbations. As a key tool, we use Bloch analysis to estimate the solution formula for periodic-coefficient opearator linearized by the periodic traveling waves.