2 citations · 4 across the 6 of their papers we have counts for
7 papers
Comparing Deterministic and Stochastic Parameter Recovery Algorithms Applied to Chaotic Systems
Ashley Wang, Elizabeth Carlson, Franca Hoffmann
This paper explores the effectiveness of various novel deterministic and traditional stochastic data assimilation (DA) and parameter recovery (PR) algorithms given noisy data from…
Quartic Lyapunov functions for global fluid stability
David Darrow, Elizabeth Carlson, David Goluskin
A fluid system is 'globally stable' if all initial conditions eventually converge to the same state. Since Reynolds (1895) and Orr (1907), the standard way to show global stability…
Formulation and Learning Of The Forecasting Problem
Edoardo Calvello, Elizabeth Carlson, Nikola Kovachki +2
Machine learning has opened new frontiers in purely data-driven forecasting of dynamical systems; the resulting methods are showing considerable promise in some application domains…
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…
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…
Large-time behavior of the 2D thermally non-diffusive Boussinesq equations with Navier-slip boundary conditions
Fabian Bleitner, Elizabeth Carlson, Camilla Nobili
This paper investigates the large-time behavior of a buoyancy-driven fluid without thermal diffusion under Navier-slip boundary conditions in a bounded domain with Lipschitz-contin…