Shuichi Jimbo

Hokkaido University, Japan

Title: Propagation of waves in a single bistable reaction-diffusion equation in several unbounded metric graphs

Abstract: I talk about a single bistable reaction-diffusion equation (Allen-Cahn type equation) in a star graph or a "quasi star graph" and seek for a (travelling like) front solution which comes from an infinite point of one branch and look into the behavior when the tive variable t grows up. The main point of this study about whether that front solution slow down and stall near the junction or propagate over the junction and move along other branches.