2 citations · 4 across the 4 of their papers we have counts for
3 papers · 2 filters
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…
Remarks on the stabilization of large-scale growth in the 2D Kuramoto-Sivashinsky equation
Adam Larios, Vincent R. Martinez
In this article, some elementary observations are made regarding the behavior of solutions to the two-dimensional curl-free Burgers equation which suggest the distinguished role pl…