Mathematical Advances in Geophysical Flows

This research school, part of the Jean-Morlet semester on Nonlinear Partial Differential Equations in Fluid Dynamics, focuses on the mathematical study and analysis of geophysical fluid models. As in the case of the Navier-Stokes equations, many of these models still lack, however, basic understanding concerning global existence and existence of smooth solutions. In ocean and atmospheric dynamics, and also in the theory of boundary layers, one is hence investigating often reduced simplified models, whose derivations are based on formal procedures, some of which are not systematic and calling for rigorous validation at the relevant temporal scales.