Mesures de Gibbs, Turbulence d’onde et EDP stochastiques

Titles and abstracts

1. Tony Lelièvre

15/12/2025 11:00

2. Mickaël Latocca : Gibbs measure for NLS on the 2 sphere, part I

Mickaël Latocca (Ecole Normale Supérieure (DMA), PSL Research University)

15/12/2025 13:45

3. Nicolas Camps : Gibbs measure for NLS on the 2 sphere, part II

15/12/2025 14:40

4. Antoine Mouzard : Anderson $\Phi_2^4$ and stochastic quantization

15/12/2025 16:00

5. Quentin Chauleur : Wave turbulence and Kolmogorov spectra

16/12/2025 10:25

In this introductory talk I will sketch the derivation of the wave kinetic equation, with a particular emphasis on Kolmogorov-Zhakarov spectra wich appear as particular stationary states of the system. I will also show some classical results on energy transfer mechanisms in Hamiltonian nonlinear dispersive models, alongside numerical simulations.

6. Katja Vassilev : One-dimensional wave-kinetic theory

16/12/2025 11:20

Abstract: Wave kinetic equations have been rigorously derived up to the kinetic timescale from dispersive systems in dimension $d \geq 2$. In this talk, we address the question of deriving kinetic equations in dimension one. Similar to higher dimensional models, one may expand the solution into iterates, represented by Feynman diagrams. However, the combinatorial estimates needed to bound...

7. Angeliki Menegaki : On the stability of Rayleigh--Jeans solutions for FPUT

16/12/2025 13:45

8. Ricardo Grande : Extreme waves and large deviations for 2D pure gravity deep water waves

16/12/2025 14:40

We study the formation of extreme waves from a statistical viewpoint in the context of the pure gravity water wave equations in deep water. We quantify their probability under random Gaussian sea initial data up to the optimal timescales allowed by deterministic well-posedness theory. The proof shows that rogue waves most likely arise through “dispersive focusing”,
where phase synchronization...

9. Annalaura Stingo : Trivial resonances for a system of Klein-Gordon equations and applications in wave turbulence

16/12/2025 16:00

10. Charles-Edouard Bréhier : Some structure-preserving schemes for SPDEs

17/12/2025 09:00

I will present several topics on numerical methods for SPDEs, where standard schemes do not preserve important qualitative features of the solution. Precisely, I will show the construction and analysis of positivity, regularity and asymptotic preserving schemes for some SPDEs.

11. Arnaud Debussche : Stochastic primitive equations with transport noise and weak hydrostatic assumption

17/12/2025 09:55

We investigate the convergence of solutions of a stochastic 3D Navier-Stokes equations to those of the primitive
equations. We explore the impact of relaxing the hydrostatic assumption in the stochastic primitive equations by
retaining martingale terms as deviations from hydrostatic equilibrium. This modified model, obtained through a
specific asymptotic scaling accessible only within the...

12. El Mehdi Haress

17/12/2025 11:10

13. Katharina Schratz : Resonances as a computational tool

17/12/2025 12:05