Lionel Roques

collaborators

2 papers

math.AP2025

Impact of diffusion mechanisms on persistence and spreading

NathanaÃ«l Boutillon, Yong-Jung Kim, Lionel Roques

We examine a generalized KPP equation with a `` $q$ -diffusion", which is a framework that unifies various standard linear diffusion regimes: Fickian diffusion ( $q = 0$ ), Stratonovic…

math.AP2025

Periodic KPP equations: new insights into persistence, spreading, and the role of advection

NathanaÃ«l Boutillon, FranÃ§ois Hamel, Lionel Roques

We focus on the persistence and spreading properties for a heterogeneous Fisher-KPP equation with advection. After reviewing the different notions of persistence and spreading spee…