Lecture notes : Mathematical study of singular perturbation problems Applications to large-scale oceanography
Talk no. 1, 49 p.
Around Nash inequalities
Talk no. 2, 16 p.
Whitham averaged equations and modulational stability of periodic traveling waves of a hyperbolic-parabolic balance law
Talk no. 3, 24 p.
Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity
Talk no. 4, 13 p.
Some recent results on the Muskat problem
Talk no. 5, 14 p.
Hyperbolic equations and SBV functions
Talk no. 6, 10 p.
Electromagnetic Schrödinger flow: multiplier methods for dispersion
Talk no. 7, 13 p.
Space-time resonances
Talk no. 8, 10 p.
Hypoelliptic estimates for some linear diffusive kinetic equations
Talk no. 9, 13 p.
Energy Critical nonlinear Schrödinger equations in the presence of periodic geodesics
Talk no. 10, 10 p.
Dispersive and Strichartz estimates for the wave equation in domains with boundary
Talk no. 11, 19 p.
Profile decompositions and applications to Navier-Stokes
Talk no. 12, 13 p.
Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions
Talk no. 13, 23 p.
Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
Talk no. 14, 22 p.
Entropy of eigenfunctions of the Laplacian in dimension 2
Talk no. 15, 17 p.