Lectures on the Analysis of Nonlinear Partial Differential Equations

Presents some of the most recent progress in the mathematical theory of fluid mechanics. Contents include Nicolas Burq on the wellposedness of the water wave problem with rough data, Jean-Yves Chemin on the wellposedness of the Navier-Stokes system, and Isabelle Gallagher on the semiclassical limit of a geostrophic system.