12 citations · 18 across the 14 of their papers we have counts for
18 papers
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)…
Direct and inverse problems for a third-order self-adjoint differential operator with non-local potential functions
Yixuan Liu, Mingming Zhang
The direct and inverse problems for a third-order self-adjoint differential operator with non-local potential functions are considered. Firstly, the multiplicity for eigenvalues of…
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…
Wandering points for the Mahler measure
Paul Fili, Lukas Pottmeyer, Mingming Zhang
Mahler's measure defines a dynamical system on the algebraic numbers. In this paper, we study the problem of which number fields have points which wander under the iteration of Mah…
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…
On the behavior of Mahler's measure under iteration
Paul Fili, Lukas Pottmeyer, Mingming Zhang
For an algebraic number we denote by the Mahler measure of . As is again an algebraic number (indeed, an algebraic integer), is a self-map on $\over…
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…