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 02/24).

Contact

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

Publications and preprints

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. [preprint]
9. Continuum limit of the discrete nonlinear Klein-Gordon equation. To appear in ESAIM: Proceedings and Surveys. [preprint]
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".