6 papers · 1 filter
Sharp asymptotics for the KPP equation with some front-like initial data
Mingmin Zhang
We provide the first PDE proof of the celebrated Bramson's results in 1983 concerning the large time asymptotics for the KPP equation under front-like initial data of types…
A piston to counteract diffusion: The influence of an inward-shifting boundary on the heat equation in half-space
Samuel Tréton, Mingmin Zhang
To better understand how populations respond to dynamic external pressure, we propose a new diffusion model in the moving half-line {z b(t)}, where the boundary position b(t)…
On Some Model Problem for the Propagation of Interacting Species in a Special Environment
Michel Chipot, Mingmin Zhang
The purpose of this note is to study the existence of a nontrivial solution for an elliptic system which comes from a newly introduced mathematical problem so called Field-Road mod…
Spreading speeds and pulsating fronts for a field-road model in a spatially periodic habitat
Mingmin Zhang
A reaction-diffusion model which is called the field-road model was introduced by Berestycki, Roquejoffre and Rossi [9] to describe biological invasion with fast diffusion on a lin…
Reaction-diffusion fronts in funnel-shaped domains
François Hamel, Mingmin Zhang
We consider bistable reaction-diffusion equations in funnel-shaped domains of R N made up of straight parts and conical parts with positive opening angles. We study the large time…
Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface
Claude-Michel Brauner, Luca Lorenzi, Mingmin Zhang
In this paper we analyze the stability of the traveling wave solution for an ignition-temperature, first-order reaction model of thermo-diffusive combustion, in the case of high Le…