I will give an overview of recent work on stochastic fluid dynamics. In recent years stochasticity has been added to fluid dynamics models to account for the uncertainty produced by using coarse scales when simulating atmospheric and oceanic processes. Rather than using deterministic perturbations, stochastic terms are added to the fluid models giving rise to new classes of stochastic partial differential equations. I will present a series of results pertaining to the qualitative analysis of these equations including well-posedness and smoothness properties. I will also discuss how one can calibrate the stochastic terms using synthetic data.

The talk will include an introduction that is accessible to undergraduate students.

Time and place: Tuesday 10 June, between 13:00 – 14:00, Room e, Mathematica.