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