358 citations · 1k across the 16 of their papers we have counts for
6 papers · 1 filter
Data Assimilation using Time-Delay Nudging in the Presence of Gaussian Noise
Emine Celik, Eric Olson
We study a discrete-in-time data-assimilation algorithm based on nudging through a time-delayed feedback control in which the observational measurements have been contaminated by a…
Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation
Michael S. Jolly, Vincent R. Martinez, Eric J. Olson +1
An intrinsic property of almost any physical measuring device is that it makes observations which are slightly blurred in time. We consider a nudging-based approach for data assimi…
Lower bounds on blowing-up solutions of the 3D Navier--Stokes equations in , , and
David S. McCormick, Eric J. Olson, James C. Robinson +3
If is a smooth solution of the Navier--Stokes equations on with first blowup time , we prove lower bounds for in the Sobolev spaces , $\dot…
On the continuity of global attractors
Luan Hoang, Eric J. Olson, James C. Robinson
Let be a complete metric space, and let be a parametrised family of semigroups with global attractors . We assume that there exists a f…
Continuous Data Assimilation with Stochastically Noisy Data
Hakima Bessaih, Eric Olson, E. S. Titi
We analyze the performance of a data-assimilation algorithm based on a linear feedback control when used with observational data that contains measurement errors. Our model problem…
Continuous Data Assimilation Using General Interpolant Observables
Abderrahim Azouani, Eric Olson, Edriss S. Titi
We present a new continuous data assimilation algorithm based on ideas that have been developed for designing finite-dimensional feedback controls for dissipative dynamical systems…