The FMJH postdoctoral program


I am in charge of the following FMJH postdoctoral program: 



Books for advanced undergraduate/graduate students




Morawetz estimates for water waves




HeleShaw equations




Observability, control and stabilization of the waterwave equations



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

Controllability and Stabilization of water waves
Séminaire Laurent Schwartz. Année 20152016, Exp. No. VII, 17 pp.

Stabilization of gravity water waves
J. Math. Pures Appl. (9) 114 (2018), 5184.

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.


Normal forms and global existence of 2d gravity water waves




Small divisors problems for water waves




Cauchy problem for the waterwave equations with low regularity


 A stationary phase type estimate (with Nicolas Burq and Claude Zuily)
Proc. Amer. Math. Soc., 145 (2017), 28712880.

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.

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.
 Low regularity theory for the waterwaves problem: canals and swimming pools (with Nicolas Burq and Claude Zuily)
Journées
Équations aux Dérivées Partielles, Biarritz 2011.

On the Cauchy problem for gravity water waves
(with Nicolas Burq and Claude Zuily)
Invent. Math., 198 (2014), 71163.

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.
 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.
 On the Cauchy problem and the Kato smoothing effect for water waves (with Nicolas Burq and Claude Zuily)
Harmonic analysis and nonlinear partial differential equations,
114, RIMS Kôkyûroku Bessatsu, B18, Kyoto, 2010.



Semiclassical limit of the nonlinear
Schrödinger equation


 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




Habilitation 


