On the self-similar stability of the parabolic-parabolic Keller-Segel equation
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Frank Alvarez Borges(Paris Dauphine)
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Europe/Paris
Amphi Schwartz
Amphi Schwartz
Description
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.