2 papers
math.AP2024
Bridging bulk and surface: An interacting particle system towards the field-road diffusion model
Matthieu Alfaro, Mustapha Mourragui, Samuel Tréton
We recover the so-called field-road diffusion model as the hydrodynamic limit of an interacting particle system. The former consists of two parabolic PDEs posed on two sets of diff…
math.AP2023
Blow-up vs. global existence for a Fujita-type Heat exchanger system
Samuel Tréton
We analyze a reaction-diffusion system on which models the dispersal of individuals between two exchanging environments for its diffusive component and incorporate…