12 citations · 18 across the 14 of their papers we have counts for
15 papers · 1 filter
Large time behaviour in the multidimensional nonlocal Fisher-KPP equation
Jean-Michel Roquejoffre, Mingmin Zhang
This work studies the expansion of the level sets of the solutions of a Fisher-KPP type reaction- diffusion equation, the diffusion being given by a nonnegative, compactly supporte…
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…
Sharp asymptotics for a transport model with a nonlocal condition of the Fisher-KPP type at the boundary
Grégory Faye, Jean-Michel Roquejoffre, Mingmin Zhang
This paper is concerned with the precise asymptotics, as time goes to infinity, of a transport problem in a half plane coupled with a nonlinear nonlocal boundary condition. This sy…
Propagation phenomena in KPP-bistable periodic patchy environments
Quentin Griette, François Hamel, Mingmin Zhang +1
This paper first investigates the propagation dynamics of solutions to the Cauchy problem for a one-dimensional reaction-diffusion equation in a spatially periodic environment cons…
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)…
The influence of advection on the propagation phenomena of reaction-diffusion equations with KPP-bistable nonlinearity
Xing Liang, Lei Zhang, Mingmin Zhang
This paper is devoted to propagation phenomena for a reaction-diffusion-advection equation in a one-dimensional heterogeneous environment, where heterogeneity is reflected by the n…
Spreading properties in Kermack-McKendrick models with nonlocal spatial interactions -- A new look
Grégory Faye, Jean-Michel Roquejoffre, Mingmin Zhang
In this paper, we revisit the famous Kermack-McKendrick model with nonlocal spatial interactions by shedding new lights on associated spreading properties and we also prove the exi…
The logarithmic Bramson correction for Fisher-KPP equations on the lattice
Christophe Besse, Grégory Faye, Jean-Michel Roquejoffre +1
We establish in this paper the logarithmic Bramson correction for Fisher-KPP equations on the lattice . The level sets of solutions with step-like initial conditions ar…
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…
Propagation and blocking in a two-patch reaction-diffusion model
François Hamel, Frithjof Lutscher, Mingmin Zhang
This paper is concerned with propagation phenomena for the solutions of the Cauchy problem associated with a two-patch one-dimensional reaction-diffusion model. It is assumed that…
Propagation phenomena in periodic patchy landscapes with interface conditions
François Hamel, Frithjof Lutscher, Mingmin Zhang
This paper is concerned with a model for the dynamics of a single species in a one-dimensional heterogeneous environment. The environment consists of two kinds of patches, which ar…
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…