2 papers
math.AP2025
Turing instability for nonlocal heterogeneous reaction-diffusion systems: A computer-assisted proof approach
Maxime Breden, Maxime Payan, Cordula Reisch +1
This paper provides a computer-assisted proof for the Turing instability induced by heterogeneous nonlocality in reaction-diffusion systems. Due to the heterogeneity and nonlocalit…
math.AP2023
Computer-assisted proofs for the many steady states of a chemotaxis model with local sensing
Maxime Breden, Maxime Payan
We study the steady states of a system of cross-diffusion equations arising from the modeling of chemotaxis with local sensing, where the motility is a decreasing function of the c…