Publications

[28] Symmetry for the wave equation on torus: sharp unique continuation and observability conditions for spacetime regions (with J. Niu, M. Wang)
arXiv preprint, 2025
[27] Wave maps from circle to Riemannian manifold: global controllability is equivalent to homotopy (with J.-M. Coron, J. Krieger)
arXiv preprint, 2025, submitted
[26] Donsker-Varadhan large deviation principle for locally damped and randomly forced NLS equations (with Y. Chen)
arXiv preprint, 2025, submitted
[25] The periodic KdV with control on space-time measurable sets (with J. Niu, M. Wang)
arXiv preprint, 2025, submitted
[24] Exponential mixing for the randomly forced NLS equation (with Y. Chen, Z. Zhang, J.-C. Zhao)
arXiv preprint, 2025, submitted
[23] Quantum ergodicity for Dirichlet-truncated operators on Z^d (with H. Cao)
arXiv preprint, 2025, submitted
[22] Small-time local controllability of a KdV system for all critical lengths (with J. Niu)
arXiv preprint, 2025, submitted
[21] Local large deviations for randomly forced nonlinear wave equations with localized damping (with Y. Chen, Z. Liu, Z. Zhang)
arXiv preprint, 2024, submitted
[20] 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
[19] Global controllability to harmonic maps of the heat flow from a circle to a sphere (with J.-M. Coron)
Journal de Mathématiques Pures et Appliquées, 2025
[18] 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
[17] 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
[16] Semi-global controllability of a geometric wave equation (with J. Krieger)
PAMQ, special invited issue devoted to Demetrios Christodoulou’s 70th birthday, 2024
[15] 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
[14] Traffic Smoothing Using Explicit Local Controllers (with A. Hayat, A. Bayen, B. Piccoli et al.)
IEEE Control Systems, 45(1): 95–110, 2025
[13] Stability of multi-population traffic flows (with A. Hayat, B. Piccoli)
Networks & Heterogeneous Media, 18(2): 877–905, 2023
[12] 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)
JDE, 345, 2023
[11] Fredholm transformation on Laplacian and rapid stabilization for the heat equations (with L. Gagnon, A. Hayat, C. Zhang)
JFA, 283, 2022
[10] Stabilization of the linearized water tank system (with J.-M. Coron, A. Hayat, C. Zhang)
ARMA, 244, 2022
[9] Small-time local stabilization of the 2D incompressible Navier–Stokes equations
Ann. IHP Anal. Non Linéaire, 40(6), 2023
[8] Quantitative rapid and finite time stabilization of the heat equation
ESAIM: COCV, 30(40), 2024
[7] Boundary stabilization of focusing NLKG near unstable equilibria (with J. Krieger)
Pure and Applied Analysis, 5(4), 2023
[6] Cost for a controlled linear KdV equation (with J. Krieger)
ESAIM: COCV, 27 S21, 2021
[5] Stabilisation rapide d'équations de Burgers et de Korteweg-de Vries
PhD Thesis, 2019
[4] Small-time global stabilization of the viscous Burgers equation (with J.-M. Coron)
J. Math. Pures Appl., 151(7), 2021
[3] Null controllability of a linearized KdV equation by backstepping
SIAM J. Control Optim., 57, 2019
[2] Small-time local stabilization for a Korteweg–de Vries equation
Systems & Control Letters, 111, 2018
[1] Local exponential stabilization for a class of KdV equations (with J.-M. Coron, I. Rivas)
Analysis & PDE, 10(5), 2017