3 citations · 7 across the 3 of their papers we have counts for
6 papers · 1 filter
A Hamilton-Jacobi approach to road-field reaction-diffusion models
Christopher Henderson, King-Yeung Lam
We consider the road-field reaction-diffusion model introduced by Berestycki, Roquejoffre, and Rossi. By performing a "thin-front limit," we are able to deduce a Hamilton-Jacobi eq…
Decay estimates and continuation for the non-cutoff Boltzmann equation
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
We consider the non-cutoff Boltzmann equation in the spatially inhomogeneous, soft potentials regime, and establish decay estimates for large velocity. In particular, we prove that…
Front location determines convergence rate to traveling waves
Jing An, Christopher Henderson, Lenya Ryzhik
We propose a novel method for establishing the convergence rates of solutions to reaction-diffusion equations to traveling waves. The analysis is based on the study of the travelin…
Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts
Jing An, Christopher Henderson, Lenya Ryzhik
We uncover a seemingly previously unnoticed algebraic structure of a large class of reaction-diffusion equations and use it, in particular, to study the long time behavior of the s…
The Bramson logarithmic delay in the cane toads equations
Emeric Bouin, Christopher Henderson, Lenya Ryzhik
We study a nonlocal reaction-diffusion-mutation equation modeling the spreading of a cane toads population structured by a phenotypical trait responsible for the spatial diffusion…
Population Stabilization in Branching Brownian Motion With Absorption
Christopher Henderson
We consider, through PDE methods, branching Brownian motion with drift and absorption. It is well know that there exists a critical drift which separates those processes which die…