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math.AP2026
Thresholds, fragmentation and symmetrization in parabolic equations
Matthieu Alfaro, Yihong Du, François Hamel +1
This paper is mainly concerned with the large-time dynamics of bounded nonnegative solutions of reaction-diffusion equations on the real line with nonlinearities mainly of the bist…
math.AP2026
Dynamics of a nonlocal epidemic model with a new free boundary condition, part 1: Spreading-vanishing dichotomy
Yao Chen, Yihong Du, Wan-Tong Li +1
This paper investigates the long-time dynamics of a nonlocal epidemic model with free boundaries, where a pathogen with density and the infected humans with density $v(t,x…
math.AP2026
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 is periodic in …