9 citations · 17 across the 11 of their papers we have counts for
11 papers · 1 filter
Bistable traveling fronts in strong shear flows: speed and profile asymptotics
Weiwei Ding, Mingmin Zhang, Zhaoyun Zhang
We study the strong-shear limit of bistable traveling fronts in infinite cylinders with periodic transverse boundary conditions. We prove that, for every sufficiently regular perio…
Effects of temporal variations on wave speeds of bistable traveling waves for Lotka-Volterra competition systems
Weiwei Ding, Zhanghua Liang
This paper investigates the bistable traveling waves for two-species Lotka-Volterra competition systems in time periodic environments. We focus especially on the influence of the t…
Continuity of pulsating wave speeds for bistable reaction-diffusion equations in spatially periodic media
Weiwei Ding, Zhanghua Liang, Wenfeng Liu
This paper is concerned with pulsating waves for multi-dimensional reaction-diffusion equations in spatially periodic media. First, assuming the existence of pulsating waves connec…
Bistable pulsating fronts in slowly oscillating environments *
Weiwei Ding, François Hamel, Xing Liang
We consider reaction-diffusion fronts in spatially periodic bistable media with large periods. Whereas the homogenization regime associated with small periods had been well studied…
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…
Spreading in space-time periodic media governed by a monostable equation with free boundaries, Part 1: Continuous initial functions
Weiwei Ding, Yihong Du, Xing Liang
We aim to classify the long-time behavior of the solution to a free boundary problem with monostable reaction term in space-time periodic media. Such a model may be used to describ…
Spreading in space-time periodic media governed by a monostable equation with free boundaries, Part 2: Spreading speed
Weiwei Ding, Yihong Du, Xing Liang
This is Part 2 of our work aimed at classifying the long-time behavior of the solution to a free boundary problem with monostable reaction term in space-time periodic media. In Par…
Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat
Weiwei Ding, Francois Hamel, Xiao-Qiang Zhao
This paper is concerned with the existence and qualitative properties of pulsating fronts for spatially periodic reaction-diffusion equations with bistable nonlinearities. We focus…