2 papers
math.AP2024
Scaling limits for a population model with growth, division and cross-diffusion
Marie Doumic, Sophie Hecht, Marc Hoffmann +1
Originally motivated by the morphogenesis of bacterial microcolonies, the aim of this article is to explore models through different scales for a spatial population of interacting,…
math.AP2023
Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion
Marie Doumic, Sophie Hecht, Benoit Perthame +1
Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems…