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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 with compactly supported nonnegative initial functions exhibits trichotomy dynamics for bistable and combus…
math.AP2026
Semi-wave and sharp estimates of propagation for monostable free boundary problems in time-periodic environment
Yihong Du, Zhuo Ma
We investigate the propagation profile of positive solutions to \begin{equation*} u_t-du_{xx}=f(t,u) \mbox{ for } t>0,\ x\in(g(t),h(t)), \end{equation*} where is monostabl…