## Marielle Simon (Inria Lille)

*Thursday, December 13th, 10h – Salle de séminaire du CERMICS
*

Hydrodynamic limit for an activated exclusion process

In this talk we present a microscopic model in the family of conserved lattice gases. Its stochastic short range interaction exhibits a continuous phase transition to an absorbing state at a critical value of the particle density. We prove that, in the active phase (i.e. for initial profiles smooth enough and uniformly larger than the critical density 1/2), the macroscopic behavior of this microscopic dynamics, under periodic boundary conditions and diffusive time scaling, is ruled by a non-linear PDE belonging to the class of fast diffusion equations. The first step in the proof is to show that the system typically reaches an ergodic component in subdiffusive time.

Joint work with O. Blondel, C. Erignoux and M. Sasada

## Emeric Bouin (CEREMADE)

*Thursday, January 24th, 10h – Salle de séminaire du CERMICS
*

TBA

## TBA

*Thursday, February 7th, 10h – Salle de séminaire du CERMICS
*

## Anaël Lemaître (Navier)

*Thursday, February 21st, 10h – Salle de séminaire du CERMICS
*

TBA

## Quentin Berthet (Cambridge)

*Thursday, March 14th, 10h – Salle de séminaire du CERMICS
*

TBA

## TBA

*Thursday, March 28th, 10h – Salle de séminaire du CERMICS*

## Matthieu Hillairet (Montpellier)

*Monday, May 20th, 14h – Salle de séminaire du CERMICS
*

TBA

Archive of past seminars: here

Organizers: Antoine Levitt, Julien Reygner.