# The parabolic-parabolic Keller-Segel equation

• Kleber Carrapatoso, ENS Cachan
• Monday 02 February 2015, 15:00-16:00
• CMS, MR13.

I will present in this talk some recent results on the parabolic-parabolic Keller-Segel equation in the plane, in the subcritical mass framework. More precisely, I will present : (1) Uniqueness and regularisation of weak solutions; (2) A polynomial weighted $H1 \times H2$ exponential stability of the self-similar profile in the radially symmetric case and quasi parabolic-elliptic regime.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.