49 citations · 253 across the 59 of their papers we have counts for
Showing 2023 · math.APShow all
3 papers · 2 filters
math.AP2023★ 1 cited
Stability of coherent pattern formation through invasion in the FitzHugh-Nagumo system
Montie Avery, Paul Carter, Björn de Rijk +1
We establish sharp nonlinear stability results for fronts that describe the creation of a periodic pattern through the invasion of an unstable state. The fronts we consider are cri…
math.AP2023
Pushed and pulled fronts in a logistic Keller-Segel model with chemorepulsion
Montie Avery, Matt Holzer, Arnd Scheel
We analyze spatial spreading in a population model with logistic growth and chemorepulsion. In a parameter range of short-range chemo-diffusion, we use geometric singular perturbat…
math.AP2023
Viscous shocks and long-time behavior of scalar conservation laws
Thierry Gallay, Arnd Scheel
We study the long-time behavior of scalar viscous conservation laws via the structure of -limit sets. We show that -limit sets always contain constants or shocks by establish…