Special Session 6: Propagation dynamics of PDEs: recent progress and trends

Bistable pulsating fronts for reaction-diffusion equations with advection in periodic media
Weiwei Ding
South China Normal University
Peoples Rep of China
Co-Author(s):    Xing Liang, Linfeng Xu
Abstract:
This talk focuses on bistable pulsating fronts for multidimensional reaction-diffusion equations with advection in periodic media. We will establish the existence of pulsating fronts in rapidly oscillating media and characterize the homogenized wave limit. In addition, we will present estimates for the convergence rate of the wave speed as the period approaches zero, and discuss the influence of advection on the propagation dynamics.