Publications

Exponential mixing for KdV with localized noise (with Y. Chen, Z. Zhang, and J.-C. Zhao)
arXiv preprint, 2026, submitted
Exponential mixing for the stochastic Allen–Cahn with localized white noise (with Z. Liu and Z. Zhang)
arXiv preprint, 2026, submitted
Stability of a Korteweg--de Vries equation close to critical lengths (with J. Niu)
arXiv preprint, 2026, submitted
Exponential mixing for NLS perturbed by bounded degenerate noises (with Y. Chen and Z. Zhang)
arXiv preprint, 2026, submitted
Symmetry conditions for spacetime observability of wave equations on the torus (with J. Niu, M. Wang)
arXiv preprint, 2025, submitted
Quantitative Fredholm backstepping and rapid stabilization (with L.Gagnon, A.Hayat, S.Marx, and C.Zhang)
HAL preprint, 2025, submitted
Wave maps from circle to Riemannian manifold: global controllability is equivalent to homotopy (with J.-M. Coron, J. Krieger)
arXiv preprint, 2025, submitted
Small-time local controllability of a KdV system for all critical lengths (with J. Niu)
arXiv preprint, 2025, submitted
Local large deviations for randomly forced NLW with localized damping (with Y. Chen, Z. Liu, Z. Zhang)
arXiv preprint, 2024, submitted
Exponential mixing for random nonlinear wave equations: weak dissipation and localized control (with Z. Liu, D. Wei, Z. Zhang, J.-C. Zhao)
arXiv preprint, 2024, submitted
The periodic KdV with control on space-time measurable sets (with J. Niu, M. Wang)
Journal of Functional Analysis, 2026
Exponential mixing for the randomly forced NLS equation (with Y. Chen, Z. Zhang, J.-C. Zhao)
Communications in Mathematical Physics, 2026
Donsker-Varadhan large deviation for locally damped and randomly forced NLS equations (with Y. Chen)
Annales Henri Poincaré, 2026
Sharp control cost for dispersive equations on the torus (with J. Niu, M. Wang)
Chinese Annals of Mathematics (B), special issue by invitation to Jean-Michel Coron’s 70th birthday, 2026
Exponential mixing for the Boussinesq equation with Haar coloured noise (with Z. Liu, J.-C. Zhao)
JDDE, special issue by invitation to stochasic dynamics, 2025
Global controllability to harmonic maps of the heat flow from a circle to a sphere (with J.-M. Coron)
J. Math. Pures Appl., 2025
Global controllability and stabilization of the wave maps equation from a circle to a sphere (with J.-M. Coron, J. Krieger)
Calculus of Variations and PDE, 2025
Fredholm backstepping for critical operators and application to rapid stabilization for the linearized water waves (with L. Gagnon, A. Hayat, C. Zhang)
Annales de l’Institut Fourier, 2025
Semi-global controllability of a geometric wave equation (with J. Krieger)
PAMQ, special issue by invitation to Demetrios Christodoulou’s 70th birthday, 2024
Traffic Control via Connected and Automated Vehicles: An Open-Road Field Experiment with 100 CAVs (with A. Hayat, A. Bayen, B. Piccoli et al.)
IEEE Control Systems, 45(1): 28–60, 2025
Traffic Smoothing Using Explicit Local Controllers (with A. Hayat, A. Bayen, B. Piccoli et al.)
IEEE Control Systems, 45(1): 95–110, 2025
Stability of multi-population traffic flows (with A. Hayat, B. Piccoli)
NHM, special issue by invitation to traffic control via automated vehicles, 18(2), 2023
On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities (with J.-M. Coron, P. Zhang)
Journal of Differential Equations, 345, 2023
Fredholm transformation on Laplacian and rapid stabilization for the heat equations (with L. Gagnon, A. Hayat, C. Zhang)
Journal of Functional Analysis, 283, 2022
Stabilization of the linearized water tank system (with J.-M. Coron, A. Hayat, C. Zhang)
Archive for Rational Mechanics and Analysis, 244, 2022
Small-time local stabilization of the 2D incompressible Navier–Stokes equations
Ann. IHP Anal. Non Linéaire, 40(6), 2023
Quantitative rapid and finite time stabilization of the heat equation
ESAIM: COCV, 30(40), 2024
Boundary stabilization of focusing NLKG near unstable equilibria (with J. Krieger)
Pure and Applied Analysis, 5(4), 2023
Cost for a controlled linear KdV equation (with J. Krieger)
ESAIM: COCV, 27 S21, 2021
Stabilisation rapide d'équations de Burgers et de Korteweg-de Vries
PhD Thesis, 2019
Small-time global stabilization of the viscous Burgers equation (with J.-M. Coron)
J. Math. Pures Appl., 151(7), 2021
Null controllability of a linearized KdV equation by backstepping
SIAM J. Control Optim., 57, 2019
Small-time local stabilization for a Korteweg–de Vries equation
Systems & Control Letters, 111, 2018
Local exponential stabilization for a class of KdV equations (with J.-M. Coron, I. Rivas)
Analysis & PDE, 10(5), 2017