On the stability of critical chemotactic aggregation

Pierre Raphaël (1) , Rémi Schweyer (2)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 IMT - Institut de Mathématiques de Toulouse UMR5219

We consider the two dimensional parabolic-elliptic Patlak-Keller-Segel model of chemotactic aggregation for radially symmetric initial data. We show the existence of a stable mechanism of singularity formation and obtain a complete description of the associated aggregation process.

Domaines: Equations aux dérivées partielles [math.AP]

Pierre Raphaël, Rémi Schweyer. On the stability of critical chemotactic aggregation. 2012. ⟨hal-00944896⟩