[Mini Courses] Blow-up in chemotaxis systems. Lectures #3 and #4

Finite-time blow-up in the fully parabolic Keller-Segel system
In this part, the classical Keller-Segel system in its three- and higher-dimensional versions will be analyzed. It is shown how the derivation of results on finite-time blow-up can be based on the use of appropriate functional inequalities in the course of a refined energy analysis.