5 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…
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…
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…
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…