UNSTABLE : UNDERSTANDING THE PARABOLIC-PARABOLIC KELLER-SEGEL

Liste des Contributions

1. Accueil

12/11/2026 09:00

2. Monica Musso

12/11/2026 09:30

3. Milica Tomasevic

12/11/2026 10:30

Interacting particle systems for the doubly parabolic Keller Segel model

In this talk, I will present a series of works on the approximation of the doubly parabolic Keller-Segel model using stochastic interacting particle systems in various spatial dimensions. We will introduce two types of approximations. The first, based on the Duhamel formulation of the system, is a singularly...

4. Ariane Trescases

12/11/2026 14:00

The Keller-Segel system with local sensing: global existence and long-time behaviour

We consider a class of Keller-Segel systems under Laplacian form, which models chemotactic aggregation with local sensing. We will see that while reminiscent of the classical (minimal) Keller-Segel system, which may exhibit blow-up in finite time, this class of system typically possesses...

5. Maxime Herda

12/11/2026 15:00

6. Charles Collot

13/11/2026 09:15

Determination of the long-time behaviour of solutions to the two-dimensional Keller-Segel system with critical mass

This presentation will describe the dynamics of solutions to the parabolic-elliptic Keller-Segel system in two dimensions. A first behaviour is that the solution is global and converges to a forward self-similar solution, which occurs if the mass of the solution is less...

7. Philippe Souplet

13/11/2026 11:00

Sharp macroscopic blow-up behavior for the parabolic-elliptic Keller-Segel system in dimensions $n\ge 3$

We study the space-time concentration asymptotics of radially decreasing solutions of the parabolic-elliptic Keller-Segel system of chemotaxis, in a ball or in the whole space. We show that, in dimensions $3\le n\le 9$, for any solution $u$ blowing at time $T$, there exists a...

8. Discussions

13/11/2026 13:30