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 02/24).
mail: quentin.chauleur[at]math.cnrs.fr
adress: INRIA Lille - Building B - Office B211
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.
[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.
[preprint]
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. To appear in
ESAIM: Mathematical Modelling and Numerical Analysis, 2023.
[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]
• 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, solitary waves.
