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

Laure Saint-Raymond

Exposé no. 1, 49 p.
Around Nash inequalities

Dominique Bakry ; François Bolley ; Ivan Gentil

Exposé 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

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

Enrico Bernardi ; Antonio Bove ; Vesselin Petkov

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

Angel Castro ; Diego Córdoba ; Francisco Gancedo

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

Camillo De Lellis

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

Luca Fanelli

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

Pierre Germain

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

Frédéric Hérau

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

Sebastian Herr

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

Oana Ivanovici

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

Gabriel S. Koch

Exposé 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

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

Mihai Mariş

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

Gabriel Rivière

Exposé no. 15, 17 p.