Table of contents

Lecture notes : Mathematical study of singular perturbation problems Applications to large-scale oceanography

Laure Saint-Raymond

Talk no. 1, 49 p.
Around Nash inequalities

Dominique Bakry; François Bolley; Ivan Gentil

Talk no. 2, 16 p.
Whitham averaged equations and modulational stability of periodic traveling waves of a hyperbolic-parabolic balance law

Blake Barker; Mathew A. Johnson; Pascal Noble; L.Miguel Rodrigues; Kevin Zumbrun

Talk no. 3, 24 p.
Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity

Enrico Bernardi; Antonio Bove; Vesselin Petkov

Talk no. 4, 13 p.
Some recent results on the Muskat problem

Angel Castro; Diego Córdoba; Francisco Gancedo

Talk no. 5, 14 p.
Hyperbolic equations and SBV functions

Camillo De Lellis

Talk no. 6, 10 p.
Electromagnetic Schrödinger flow: multiplier methods for dispersion

Luca Fanelli

Talk no. 7, 13 p.
Space-time resonances

Pierre Germain

Talk no. 8, 10 p.
Hypoelliptic estimates for some linear diffusive kinetic equations

Frédéric Hérau

Talk no. 9, 13 p.
Energy Critical nonlinear Schrödinger equations in the presence of periodic geodesics

Sebastian Herr

Talk no. 10, 10 p.
Dispersive and Strichartz estimates for the wave equation in domains with boundary

Oana Ivanovici

Talk no. 11, 19 p.
Profile decompositions and applications to Navier-Stokes

Gabriel S. Koch

Talk no. 12, 13 p.
Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions

Jérôme Le Rousseau; Nicolas Lerner

Talk no. 13, 23 p.
Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems

Mihai Mariş

Talk no. 14, 22 p.
Entropy of eigenfunctions of the Laplacian in dimension 2

Gabriel Rivière

Talk no. 15, 17 p.