
Globalintime weak solutions for an inviscid free surface fluidstructure problem without damping (with Igor Kukavica and Amjad Tuffaha)
arXiv:2404.09820.

KAM via Standard Fixed Point Theorems (with Chengyang Shao)
arXiv:2312.13971.

The HeleShaw semiflow (with Herbert Koch)
arXiv:2312.13678.

Damping for fractional wave equations and applications to water waves (with Jeremy L. Marzuola and Jian Wang)
arXiv:2308.09288.

Virial theorems and equipartition of energy for waterwaves (with Claude Zuily)
SIAM J. Math. Anal., to appear. arXiv:2304.07872.

Refined Rellich boundary inequalities for the derivatives of a harmonic function (with Siddhant Agrawal)
Proc. Amer. Math. Soc. 151 (2023), no. 5, 21032113.

Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension (with Martina Magliocca and Nicolas Meunier)
arXiv:2205.04365.

On the dynamics of the roots of polynomials under differentiation (with Omar Lazar and QuocHung Nguyen)
J. Math. Pures Appl. (9) 162 (2022), 122.

Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem (with QuocHung Nguyen)
Adv. Math. 399 (2022), Paper No. 108278, 52 pp.

Endpoint Sobolev theory for the Muskat equation (with QuocHung Nguyen)
Commun. Math. Phys. 397 (2023), no. 3, 10431102.

On the Cauchy problem for the Muskat equation. II: Critical initial data (with QuocHung Nguyen)
Ann. PDE 7 (2021), no. 1, Paper No. 7, 25pp.

On the Cauchy problem for the Muskat equation with nonLipschitz initial data (with QuocHung Nguyen)
Comm. Partial Differential Equations 46, no. 11, 21712212 (2021).

Cauchy theory for the water waves system in an analytic framework (with Nicolas Burq and Claude Zuily)
Tokyo J. Math., 45(1), 103199 (2022).

Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics (with Didier Bresch)
Interfaces Free Bound. 26(1), 130 (2024). (Note: the arXiv version contains more results than the published version.)

Convexity and the HeleShaw equation
Water Waves 3 (2021), no. 1, 523.

A Morawetz inequality for gravitycapillary water waves at low Bond number (with Mihaela Ifrim and Daniel Tataru)
Water Waves 3 (2021), no. 3, 429472.

Lyapunov functions, Identities and the Cauchy problem for the HeleShaw equation (with Nicolas Meunier and Didier Smets)
Commun. Math. Phys. 377 (2020), no. 2, 14211459.

Paralinearization of the Muskat equation and application to the Cauchy problem (with Omar Lazar)
Arch. Ration. Mech. Anal., 237 (2020), no. 2, 545583.

A Morawetz inequality for water waves (with Mihaela Ifrim and Daniel Tataru)
Amer. J. Math., 144 (2022), no. 3, 607699.

Stabilization of the waterwave equations with surface tension
Annals of PDE (2017), no. 2, Art. 17, 41 pp.

Stabilization of gravity water waves
J. Math. Pures Appl. (9) 114 (2018), 5184.
 A stationary phase type estimate (with Nicolas Burq and Claude Zuily)
Proc. Amer. Math. Soc., 145 (2017), 28712880.

Boundary observability of gravity water waves
Ann. Inst. H. Poincaré Anal. Non Linéaire, 35 (2018), no. 3, 751779.

Control for water waves (with Pietro Baldi and Daniel HanKwan)
J. Eur. Math. Soc., 20 (2018) 657745.
 Gravity capillary standing water waves
(with Pietro Baldi)
Arch. Ration. Mech. Anal., 217 (2015), no 3, 741830.

Strichartz estimates and the Cauchy problem for the gravity water waves equations
(with Nicolas Burq and Claude Zuily)
Memoirs of the AMS, 2018; Volume 256, 115pp.

Global solutions and asymptotic behavior for two dimensional gravity water waves
(with JeanMarc Delort)
Ann. Sci. Éc. Norm. Supér., 48, (2015), no. 5, 11491238.

Sobolev estimates
for two dimensional gravity water waves
(with JeanMarc Delort)
Astérisque 374 (2015), viii+241 pages.

Cauchy theory for the gravity water waves system with non localized initial data
(with Nicolas Burq and Claude Zuily)
Ann. Inst. H. Poincaré
Anal. Non Linéaire, 33 (2016), 337395.

The waterwaves equations: from Zakharov to Euler
(with Nicolas Burq and Claude Zuily)
Studies in Phase Space Analysis with Applications to PDEs.
Progress in Nonlinear Differential Equations and Their Applications Volume 84, 2013, pp 120.

On the Cauchy problem for gravity water waves
(with Nicolas Burq and Claude Zuily)
Invent. Math., 198 (2014), 71163.
 Strichartz estimates for water waves
(with Nicolas Burq and Claude Zuily)
Ann. Sci. Éc. Norm. Supér. (4), 44 (2011), no. 5, 855903.

On the water waves equations with surface tension
(with Nicolas Burq and Claude Zuily)
Duke Math. J., 158 (2011), no. 3, 413499.
 Paralinearization of the Dirichlet to Neumann operator, and regularity of diamond waves (with Guy Métivier)
Comm. Partial Differential Equations, 34 (2009), no. 1012, 16321704.
 Semiclassical limit of SchrödingerPoisson equations
in space dimension n≥3 (with Rémi Carles)
J. Differential Equations, 233 (2007), no. 1, 241275.

Loss of regularity for supercritical nonlinear Schrödinger equations (with Rémi Carles)
Math. Ann., 343 (2009), no. 2, 397420.
 Super critical geometric optics for nonlinear Schrödinger equations
(with Rémi Carles)
Arch. Ration. Mech. Anal. 194
(2009), no. 1, 315347.

WKB analysis for the GrossPitaevskii equation with nontrivial boundary conditions at infinity (with Rémi Carles)
Ann. Inst. H. Poincaré
Anal. Non Linéaire, 26 (2009), no. 3, 959977.
 Low Mach number flows and combustion
SIAM J. Math. Anal. 38 (2006), no. 4, 11861213.
 Low Mach number limit of the full NavierStokes
equations
Arch. Ration. Mech. Anal. 180 (2006), no. 1, 173.
 Incompressible limit of the nonisentropic Euler
equations with the solid wall boundary conditions
Adv. Differential Equations 10 (2005), no. 1, 1944.
