2 citations · 2 across the 4 of their papers we have counts for
5 papers
A critical note on back-and-forth Data Assimilation Nudging Algorithm
Aseel Farhat, Edriss S. Titi, Collin Victor
This work investigates the effectiveness of the Back-and-Forth Nudging (BFN) data assimilation algorithm, specifically its performance when employing the Azouani-Olson-Titi (AOT) c…
Determining Modes, State Reconstruction, and Intertwinement: Existence of Self-Synchronizing Intertwinements
Elizabeth Carlson, Aseel Farhat, Vincent R. Martinez +1
In the companion paper of the authors, a general synchronization framework was developed in the paradigmatic context of the 2D Navier-Stokes equations that allows one to precisely…
Upper bounds on the dimension of the global attractor of the 2D Navier-Stokes equations on the plane
Aseel Farhat, Anuj Kumar, Vincent R. Martinez
This article establishes estimates on the dimension of the global attractor of the two-dimensional rotating Navier-Stokes equation for viscous, incompressible fluids on the -pla…
On the nudging approach to continuous data assimilation in the limit of infinite error feedback gain
Elizabeth Carlson, Aseel Farhat, Vincent R. Martinez +1
This article studies the intimate relationship between two filtering algorithms for continuous data assimilation, the synchronization filter and the nudging filter, in the paradigm…
Determining Modes, State Reconstruction, and Intertwinement: A Synchronization Framework
Elizabeth Carlson, Aseel Farhat, Vincent R. Martinez +1
This article studies the interrelation between the determining modes property in the two-dimensional (2D) Navier-Stokes equations (NSE) of incompressible fluids and the reconstruct…