Analysis and control of PDEs;
Infinite dimensional system (distributed parameter system);
Free boundary problem (water waves);
Fluid-structure interactions (FSI) (floating body, immersed body and fluid-beam system).
Well-posedness of the motion of a rigid body in a compressible inviscid fluid, [with F. Rousset], preprint, 2025;
Ladyzhenskaya-Prodi-Serrin condition for fluid-structure interaction systems, [with D. Breit, R. Mensah and S. Schwarzacher], accepted by Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) (2025) [arXiv];
Existence of strong solutions for a perfect elastic beam interacting with Navier-Stokes equations, [with S. Schwarzacher], Communications in Mathematical Physics 406, Art. no. 206, (2025) [arXiv];
The vanishing limit of a rigid body in three-dimensional viscous incompressible fluid, [with J. He], Mathematische Annalen, 391 (4): 5341--5373 (2024) [arXiv];
Quantitative observability for one-dimensional Schrödinger equations with potentials, [with C. Sun and X. Yuan], Journal of Functional Analysis, 288 (2): P.110695 (2024) [arXiv];
Shallow water waves generated by a floating object: a control theoretical perspective, [with M. Tucsnak ], Mathematical Control and Related Fields, 13 (4): 1529-1555, (2021) [arXiv];
Asymptotic behaviour of a linearized water waves system in a rectangle, Asymptotic Analysis, 131 (1), pp. 83-108, (2021) [arXiv];
Stabilizability properties of a linearized water waves system, [with M. Tucsnak and G. Weiss], System & Control Letters, 139, (2020), P.104672, [arXiv].
Thesis and proceeding:
Strong stabilization of a linearized gravity-capillary water waves system in a tank, 60th IEEE Conference on Decision and Control (CDC), (2021) [IEEE];
Stabilization of the systems describing water waves and their interaction with a floating object, PhD thesis, Université de Bordeaux, (2021) [HAL];