Yihong Du

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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…

math.AP2025

Asymptotic limit of the principal eigenvalue of asymmetric nonlocal diffusion operators and propagation dynamics

Yihong Du, Xiangdong Fang, Wenjie Ni

For fixed $c \in R$ , $l > 0$ and a general non-symmetric kernel function $J (x)$ satisfying a standard assumption, we consider the nonlocal diffusion operator \begin{align*} \bf…