This research school 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.
In this research school, mini-courses and talks by leading experts will be combined with presentations of recent results of PhD students and postdocs to foster further dialogue and collaboration.
TOPICS OF THIS RESEARCH SCHOOL
* global regularity and blow up, free boundary value problems for viscous/inviscid compressible/incompressible equations subject to hydrostatic balance, e.g. the primitive equations of ocean and atmospheric dynamics
* dynamics of sea ice models
* multiphysics effects as moisture, vapour, phase transitions, boundary layers and stratification
* smoothing or dispersive effects due to Coriolis forces
* stability analysis
* rigorous justification of the hydrostatic approximation
SPEAKERS / PARTICIPANTS