Edriss Titi (Texas A&M University, USA)
Friday, May 3, 2019 - 10:15
SFB 1294 Seminar, University of Potsdam
Karl-Liebknecht-Str. 24-25, 14476 Potsdam OT Golm, House 9, Room 0.12
One of the main characteristics of infinite-dimensional dissipative evolution equations, such as the Navier-Stokes equations and reaction-diffusion systems, is that their long-time dynamics is determined by finitely many parameters -- finite number of determining modes, nodes, volume elements and other determining interpolants. In this talk I will show how to explore this finite-dimensional feature of the long-time behavior of infinite-dimensional dissipative systems to design nudging downscaling data assimilation algorithms for weather prediction based on discrete coarse mesh measurements. Moreover, I will also demonstrate uniform in time error estimates of the numerical discretization of these algorithms, which makes reliable upon implementation computationally. Furthermore, I will also present some recent results concerning a statistical version of these algorithms. Invited by Sebastian Reich
submitted by Liv Heinecke (liv.heinecke@uni-potsdam.de, 0331-977-203137)