Hongkai Cao

collaborators

2 papers

math.AP2026

Trichotomy dynamics of a free boundary model for biological invasion

Hongkai Cao, Yihong Du, Wenjie Ni +1

It is well known that the reaction-diffusion equation $u_{t} = d u_{xx} + f (u)$ with compactly supported nonnegative initial functions exhibits trichotomy dynamics for bistable and combus…

math.AP2025

Convergence to a receding wave in a monostable free boundary problem

Hongkai Cao, Yihong Du, Wenjie Ni

We study a monostable reaction-diffusion equation of the form $u_{t} = d u_{xx} + f (u)$ over a semi-infinite spatial domain $[g (t), \infty)$ , with $x = g (t)$ the free boundary whose evolutio…