Delphine Salort (UPMC)

lundi 23 mars 2026, 11:00 → 13:00 Europe/Paris

The seminar will take place on Zoom at the following link: https://univ-cotedazur.zoom.us/j/5698369814Short URLNone

Title: Qualitative properties for certain EDPs derived from neuroscience

 

Abstract:

In recent years, the qualitative study of models derived from neuroscience has experienced significant growth, particularly within the communities of probabilists and EDP specialists. The aim is to use certain models to understand the emergence of complex dynamics observed within interacting neural networks.

In this regard, numerous EDP models have been proposed, presenting structures, and therefore mathematical difficulties, that vary greatly depending on the modelling choices made. We will begin with an overview of the main issues and existing results for EDP models derived from neuroscience that are now relatively well understood, in both linear and non-linear regimes. We will then focus on a particular framework where modelling involves equations with degenerate diffusion, for which, even in the simplest (linear) case, several questions remain open.