On the self-similar stability of the parabolic-parabolic Keller-Segel equation

par Frank Alvarez Borges (Paris Dauphine)

lundi 22 janv. 2024, 14:00 → 15:00 Europe/Paris

Amphi Schwartz

I will present a review of the main techniques used in the study of the stability or blow-up dynamics of the so-called minimal Keller Segel system. Ideas from the analysis of the parabolic-elliptic system will be presented, as well from the subcritical parabolic-parabolic system with radial initial values will be presented before engaging with the more recent results for the subcritical parabolic-parabolic system with general initial values.