COOKIE (COmputing & apprOximating KInetic Equations)

Liste des Contributions

1. TBA

Martin Campos Pinto

16/07/2026 09:30

2. TBA

Erwan Faou (INRIA)

16/07/2026 10:10

3. TBA

Michel Mehrenberger (Marseille)

16/07/2026 11:00

4. Numerical analysis of a kinetic equation with a non-local Hamilton-Jacobi limit

Hélène HIVERT (Inria - Géosciences Rennes)

16/07/2026 11:40

In this talk, I will consider the kinetic equation studied in [Bouin, Calvez, Grenier, Nadin, 2023]. I will present the design and analysis of a numerical scheme adapted to the asymptotic behavior of the equation when considered in a large deviations regime. In this regime, the equation degenerates into a nonlocal Hamilton–Jacobi equation, which falls outside the standard frameworks of...

5. Time splitting for nonlinear Schrödinger equations: Strichartz estimates and consequences

Remi Carles

16/07/2026 14:10

Strichartz estimates have allowed spectacular progress in the analytical
study of nonlinear dispersive equations such as nonlinear Schrödinger
equations. We show two consequences regarding error estimates for time
splitting method: a global in time error estimate, obtained with Chunmei
Su, and low regularity error estimates in the presence of an harmonic
potential, using in addition...

6. A micro-macro model for self-propelled particle systems of Vicsek type

Anais Crestetto (Nantes)

16/07/2026 14:50

From the Vicsek model, describing at the individual scale the motion of particles that tend to align with each others, a kinetic equation of Fokker-Planck type can be written. Works of Degond, Frouvelle, Motsch and Navoret investigate the large-scale ("hydrodynamic") limit, leading to the SOH model, and propose numerical scheme to approach its solution.

In this talk, I will first present a...

7. Generalised UGK and UGKWP Scheme in the Diffusive Limit

Julien Mathiaud (Rennes)

16/07/2026 15:40

The unified gas kinetic scheme (UGKS) was initially designed to address
multiscale challenges in rarefied gas dynamics and then extended to
radiative transfert theory, as described by BGK like relaxation models.
In this talk, we extend its application to linear kinetic models with
non isotropic scattering collision operators, as well as Fokker-Planck
models . These problems typically...