|Date:||Tue, April 7, 2015|
|Place:||Research I Seminar Room|
Abstract: The geostrophic equations model the flow in a rotating reference frame, in which, as opposed to an inertia reference frame, the presence of the Coriolis effect balances the pressure gradient exactly. Semi-geostrophic equations deal with small deviations from exact balance. The model has extensive applications in describing large scale wind and ocean flows, since our earth is itself spinning. In this talk, we will formulate the governing physical equations, and relate them to the Monge-Kantorovich problem. If time permits, we will also discuss the proof for the existence of a weak solution.