Antoine Pauthier

activity

20142021

most citedUniform dynamics for Fisher-KPP propagation driven by a line of fast diffusion under a singular limit

13 citations · 24 across the 8 of their papers we have counts for

collaborators

Showing 2020 · math.APShow all

2 papers · 2 filters

math.AP2020

Weak and strong interaction of excitation kinks in scalar parabolic equations

Antoine Pauthier, Jens D. M. Rademacher, Dennis Ulbrich

Motivated by studies of the Greenberg-Hastings cellular automata (GHCA) as a caricature of excitable systems, in this paper we study kink-antikink dynamics in the perhaps simplest…

math.AP2020

Large-time behavior of solutions of parabolic equations on the real line with convergent initial data II: equal limits at infinity

Antoine Pauthier, Peter Poláčik

We continue our study of bounded solutions of the semilinear parabolic equation $u_{t} = u_{xx} + f (u)$ on the real line, where $f$ is a locally Lipschitz function on $R .$ Assum…