MPE webinars – week 10: Oana Lang – Analytical Properties for Nonlinear Stochastic Transport PDEs

MPE: Analysis and Modelling – week 10, 10th July 2020

Oana Lang (Imperial College London)

“Analytical Properties for Nonlinear Stochastic Transport PDEs”

In this talk we will discuss analytical properties corresponding to three classes of nonlinear SPDEs driven by transport noise: the stochastic 2D Euler equation, the stochastic great lake equation, and the stochastic rotating shallow water model. These models have been derived from fluid dynamics principles using stochastic variational approaches and they play an important role in the theoretical analysis of stochastic data assimilation systems.