Personal webpage of Quentin Chauleur

Presentation

I am currently a CEMPI postdoc at the Laboratoire Paul Painlevé, Université Lille, under the supervision of Guillaume Dujardin (Paradyse, INRIA Lille).

Between 2019 and 2022, I was a PhD student at IRMAR, Université de Rennes 1, 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 06/23).

Contact

mail: quentin.chauleur[at]math.cnrs.fr
adress: INRIA Lille - Building B - Office B211

Publications and preprints

7. The logarithmic Schrödinger equation with spatial white noise on the full space, with Antoine Mouzard. [preprint]
6. Growth of Sobolev norms and strong convergence for the discrete nonlinear Schrödinger equation. [preprint]
5. Discrete quantum harmonic oscillator and Kravchuk transform, with Erwan Faou. [preprint]
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 PDEs (Schrödinger, Navier-Stokes, Euler): Cauchy problem, long time dynamics, stability of particular solutions.
• Numerical analysis: time/space discretization, convergence analysis.
• Simulation of nonlinear phenomena: vortex nucleation.

PhD thesis

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