Special Session 13: Propagation Phenomena in Reaction-Diffusion Systems
Convergence to forced waves of the Fisher-KPP equation in a shifting environment by utilizing a relative entropy
Masahiko Shimojo
Tokyo Metropolitan University Japan
Co-Author(s): Jong-Shenq Guo, Karen Guo
Abstract:
This talk aims to investigate the stability of forced waves for the Fisher-KPP equation in a shifting environment, without imposing the monotonicity condition on the shifting intrinsic growth term. A new method is introduced to derive the stability of forced waves under certain perturbation of a class of initial data.