Accurate Filtering with 3DVAR for Dissipative Systems

Fri, 08/03
14:30
Dr Kody Law (University of Warwick) Mathematical Geoscience Seminar Add to calendar DH 3rd floor SR
Unstable dynamical systems can be stabilized, and hence the solution recovered from noisy data, provided two conditions hold. First, observe enough of the system: the unstable modes. Second, weight the observed data sufficiently over the model. In this talk I will illustrate this for the 3DVAR filter applied to three dissipative dynamical systems of increasing dimension: the Lorenz 1963 model, the Lorenz 1996 model, and the 2D Navier-Stokes equation.