4 papers · 1 filter
Admissible speeds in spatially periodic bistable reaction-diffusion equations
Weiwei Ding, Thomas Giletti
Spatially periodic reaction-diffusion equations typically admit pulsating waves which describe the transition from one steady state to another. Due to the heterogeneity, in general…
The Stefan problem for the Fisher-KPP equation with unbounded initial range
Weiwei Ding, Yihong Du, Zongming Guo
We consider the nonlinear Stefan problem $$ \left \{ \begin{array} {ll} -d Δu=a u-b u^2 \;\; & \mbox{for } x \in Ω(t), \; t>0, \\ u=0 \mbox{ and } u_t=μ|\nabla_x u |^2 \;\;&\mbox{f…
Dynamics of time-periodic reaction-diffusion equations with front-like initial data on
Weiwei Ding, Hiroshi Matano
This paper is concerned with the Cauchy problem where is a rather general nonli…
Dynamics of Time-Periodic Reaction-Diffusion Equations with Compact Initial Support on R
Weiwei Ding, Hiroshi Matano
This paper is concerned with the asymptotic behavior of bounded solutions of the Cauchy problem \begin{equation*} \left\{ \begin{array}{ll} u_t=u_{xx} +f(t,u), & x\in\mathbb{R},\,t…