Lecture notes : Mathematical study of singular perturbation problems Applications to large-scale oceanography
Around Nash inequalities
Whitham averaged equations and modulational stability of periodic traveling waves of a hyperbolic-parabolic balance law
Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity
Some recent results on the Muskat problem
Hyperbolic equations and SBV functions
Electromagnetic Schrödinger flow: multiplier methods for dispersion
Space-time resonances
Hypoelliptic estimates for some linear diffusive kinetic equations
Energy Critical nonlinear Schrödinger equations in the presence of periodic geodesics
Dispersive and Strichartz estimates for the wave equation in domains with boundary
Profile decompositions and applications to Navier-Stokes
Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions
Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
Entropy of eigenfunctions of the Laplacian in dimension 2