Special Session 13: Propagation Phenomena in Reaction-Diffusion Systems

Front propagation for the bistable reaction-diffusion equation on unbounded metric graphs

Yoshihisa Morita
Ryukoku Joint Research Center Sci & Tech
Japan
Co-Author(s):    
Abstract:
We are concerned with the front propagation for the reaction-diffusion equation with bistable nonlinearity on metric graphs composed of half-lines and branching points. We demonstrate the asymptotic behavior of front-like entire solutions that either propagate beyond the branching points or are blocked by them on certain specific metric graphs. This talk is based on the works Jimbo-M (2019, 2021, 2024), Iwasaki-Jimbo-M (2022), and M (2023).