Personal webpage of Quentin Chauleur

Presentation

I am an ISFP researcher (INRIA Starting Faculty Position) in mathematics, assigned to the PARADYSE project-team at INRIA Lille.

I am also a member of the Numerical Analysis and PDEs team of the Laboratoire Paul Painlevé.

Prior to that, I was a CEMPI postdoc (2022-2024) at Université Lille, and I did my PhD (2019-2022) at IRMAR, Université Rennes, under the supervision of Rémi Carles and Erwan Faou.

My codes are available on my gitlab. Here is my Curriculum Vitae (in french, last updated 12/25).

Conference ABPDE6 - June 29 to July 3, 2026

With colleagues in Lille we are organizing the 6th edition of the Asymptotic Behaviors of systems of PDEs arising in physics and biology conference. Please feel free to register and make a contribution!

Contact

mail: firstname.lastname[at]inria.fr
adress: INRIA Lille - Building B - Office B211

Publications and preprints

14. On the ground state of the nonlinear Schrödinger equation: asymptotic behavior at the endpoint powers, with Rémi Carles, Guillaume Ferriere and Dmitry Pelinovsky. [preprint]
13. On the dependence of the nonlinear Schrödinger flow upon the power of the nonlinearity, with Rémi Carles and Guillaume Ferriere. [preprint]
12. High order uniform in time schemes for weakly nonlinear Schrödinger equation and wave turbulence, with Antoine Mouzard. [preprint]
11. On the propagation of high regularity for the logarithmic Schrödinger equation, with Guillaume Ferriere. [preprint]
10. Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation, with Radu Chicireanu, Guillaume Dujardin, Jean-Claude Garreau and Adam Rançon. Computers & Fluids, (2025), p. 106956. [preprint|article]
9. Continuum limit of the discrete nonlinear Klein-Gordon equation. ESAIM: Proceedings and Surveys, 2025, Vol. 79, p. 17-30. [preprint|article]
8. Finite volumes for the Gross-Pitaevskii equation. [preprint]
7. The logarithmic Schrödinger equation with spatial white noise on the full space, with Antoine Mouzard. Journal of Evolution Equations, 25, 1 (2025). [preprint|article]
6. Growth of Sobolev norms and strong convergence for the discrete nonlinear Schrödinger equation. Nonlinear Analysis, 242 (2024), p. 113517. [preprint|article]
5. Discrete quantum harmonic oscillator and Kravchuk transform, with Erwan Faou. ESAIM: Mathematical Modelling and Numerical Analysis, 58 6 (2024) 2155-2186. [preprint|article]
4. Around plane waves solutions of the Schrödinger-Langevin equation, with Erwan Faou. SIAM Journal on Mathematical Analysis, 54, no. 5, 5103–5125, 2022. [preprint|article]
3. The isothermal limit for the compressible Euler equations with damping. Discrete and Continuous Dynamical Systems Series B, 27(12): 7671-7687, 2022. [preprint|article]
2. Global dissipative solutions of the defocusing isothermal Euler-Langevin-Korteweg equations. Asymptotic Analysis, vol. 126, no. 3-4, pp. 255-283, 2022 [preprint|article]
1. Dynamics of the Schrödinger-Langevin equation. Nonlinearity, 34(4) : 1943 - 1974, 2021. [preprint|article]

Research interests

• Analysis of nonlinear dispersive PDEs.
• Numerical analysis and analysis of discrete systems.
• Simulation of nonlinear phenomena: vortex nucleation, solitary waves.

PhD thesis

The 5th of July 2022, I defended my doctoral thesis entitled "Around Schrödinger-Langevin equation and isothermal Euler system with damping".