Grégory Faye

Sharp asymptotics for a transport model with a nonlocal condition of the Fisher-KPP type at the boundary

This paper is concerned with the precise asymptotics, as time goes to infinity, of a transport problem in a half plane coupled with a nonlinear nonlocal boundary condition. This system arises from a class of models for the spatial spread of epdemics, its space independent version being the classical Kermack-McKendrick...