Precise propagation profile for some monostable free boundary problems in time-periodic media

Yihong Du, Zhuo Ma, Zhi-Cheng Wang

We consider reaction-diffusion equations of the form \begin{equation*} u_t - d u_{xx} = f(t,u), \quad t>0,\ \ x \in [g(t), h(t)], \end{equation*} where $f(t,u)$ is periodic in $t$…