Curriculum vitae 

Programme du séminaire Analyse nonlinéaire et EDP


Observability and control of the waterwave equations




Normal forms and global existence of 2d gravity water waves




The small divisors problem for standing gravitycapillary water waves




Cauchy problem for the waterwave equations with low regularity



Strichartz estimates and the Cauchy problem for the gravity water waves equations
(with Nicolas Burq and Claude Zuily)
118 pages. Preprint arXiv:1404.4276 (this paper expands and supersedes our previous paper
arXiv:1308.1423).

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, to appear. Journal version or arXiv:1305.0457, 60 pages.

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.


Study of the DirichletNeumann operator




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




Some lectures notes and recent conference proceedings




Habilitation 


