217 citations · 358 across the 33 of their papers we have counts for
4 papers · 2 filters
Travelling-wave behaviour in doubly nonlinear reaction-diffusion equations
Yihong Du, Alejandro Garriz, Fernando Quiros
We study a family of reaction-diffusion equations that present a doubly nonlinear character given by a combination of the -Laplacian and the porous medium operators. We consider…
Semi-wave, traveling wave and spreading speed for monostable cooperative systems with nonlocal diffusion and free boundaries
Yihong Du, Wenjie Ni
We consider a class of cooperative reaction-diffusion systems with free boundaries in one space dimension, where the diffusion terms are nonlocal, given by integral operators invol…
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…
Approximation of random diffusion equation by nonlocal diffusion equation in free boundary problems of one space dimension
Yihong Du, Wenjie Ni
We show how the Stefan type free boundary problem with random diffusion in one space dimension can be approximated by the corresponding free boundary problem with nonlocal diffusio…