4 papers · 1 filter
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…
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…
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 over a semi-infinite spatial domain , with the free boundary whose evolutio…
Asymptotic limit of the principal eigenvalue of asymmetric nonlocal diffusion operators and propagation dynamics
Yihong Du, Xiangdong Fang, Wenjie Ni
For fixed , and a general non-symmetric kernel function satisfying a standard assumption, we consider the nonlocal diffusion operator \begin{align*} \bf…