A discrete data assimilation scheme for the solutions of the two-dimensional Navier--Stokes equations and their statistics
C Foias, CF Mondaini, ES Titi - SIAM Journal on Applied Dynamical Systems, 2016 - SIAM
We adapt a previously introduced continuous in time data assimilation (downscaling)
algorithm for the two-dimensional Navier--Stokes equations to the more realistic case when …
algorithm for the two-dimensional Navier--Stokes equations to the more realistic case when …
Finite determining parameters feedback control for distributed nonlinear dissipative systems-a computational study
We present a computational study of a simple finite-dimensional feedback control algorithm
for stabilizing solutions of infinite-dimensional dissipative evolution equations such as …
for stabilizing solutions of infinite-dimensional dissipative evolution equations such as …
Dynamically learning the parameters of a chaotic system using partial observations
Motivated by recent progress in data assimilation, we develop an algorithm to dynamically
learn the parameters of a chaotic system from partial observations. Under reasonable …
learn the parameters of a chaotic system from partial observations. Under reasonable …
Parameter recovery for the 2 dimensional Navier--Stokes equations via continuous data assimilation
We study a continuous data assimilation algorithm proposed by Azouani, Olson, and Titi
(AOT) in the context of an unknown viscosity. We determine the large-time error between the …
(AOT) in the context of an unknown viscosity. We determine the large-time error between the …
Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements
In this paper we propose a continuous data assimilation (downscaling) algorithm for the
Bénard convection in porous media using only discrete spatial-mesh measurements of the …
Bénard convection in porous media using only discrete spatial-mesh measurements of the …
On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model
Analyzing the validity and success of a data assimilation algorithmwhen some state variable
observations are not available is an important problem in meteorology and engineering. We …
observations are not available is an important problem in meteorology and engineering. We …
Efficient dynamical downscaling of general circulation models using continuous data assimilation
Continuous data assimilation (CDA) is successfully implemented for the first time for efficient
dynamical downscaling of a global atmospheric reanalysis. A comparison of the …
dynamical downscaling of a global atmospheric reanalysis. A comparison of the …
A data assimilation algorithm for the subcritical surface quasi-geostrophic equation
MS Jolly, VR Martinez, ES Titi - Advanced Nonlinear Studies, 2017 - degruyter.com
In this article, we prove that data assimilation by feedback nudging can be achieved for the
three-dimensional quasi-geostrophic equation in a simplified scenario using only large …
three-dimensional quasi-geostrophic equation in a simplified scenario using only large …
Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone
In this paper we propose a continuous data assimilation (downscaling) algorithm for a two-
dimensional Bénard convection problem. Specifically we consider the two-dimensional …
dimensional Bénard convection problem. Specifically we consider the two-dimensional …
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm
We study a nonlinear-nudging modification of the Azouani–Olson–Titi continuous data
assimilation (downscaling) algorithm for the 2D incompressible Navier–Stokes equations …
assimilation (downscaling) algorithm for the 2D incompressible Navier–Stokes equations …