Table of contents

Description of the lack of compactness of some critical Sobolev embedding

Talk no. 1, 13 p.
Quasi-periodic solutions of Hamiltonian PDEs

Talk no. 2, 13 p.
Low regularity Cauchy theory for the water-waves problem: canals and swimming pools

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Talk no. 3, 20 p.
Global well-posedness and scattering for the mass-critical NLS

Talk no. 4, 11 p.
On the uniqueness of ground states of non-local equations

Talk no. 5, 10 p.
On stabilization and control for the critical Klein-Gordon equation on a 3-D compact manifold

Talk no. 6, 17 p.
Analytic and Geometric Logarithmic Sobolev Inequalities

Talk no. 7, 15 p.
H 1 -stability of mKdV multi-kinks

Talk no. 8, 16 p.
Spectral theory of damped quantum chaotic systems

Talk no. 9, 23 p.
On the free surface Navier-Stokes equation in the inviscid limit

Talk no. 10, 14 p.
Effective Evolution Equations in Quantum Physics

Talk no. 11, 19 p.