Super-exponential convergence rate of a nonlinear continuous data assimilation algorithm: the 2D Navier-Stokes equation paradigm
From MaRDI portal
Publication:6123369
DOI10.1007/s00332-024-10014-warXiv2304.01128MaRDI QIDQ6123369
Edriss S. Titi, Elizabeth Carlson, Adam Larios
Publication date: 4 March 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.01128
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stabilization of systems by feedback (93D15) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with control and optimization (35Q93)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field
- Feedback control of nonlinear dissipative systems by finite determining parameters -- a reaction-diffusion paradigm
- Higher-order synchronization for a data assimilation algorithm for the 2D Navier-Stokes equations
- A data assimilation algorithm for the subcritical surface quasi-geostrophic equation
- Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations
- Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data
- Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence
- Determining modes and Grashof number in 2D turbulence: a numerical case study
- Determining modes for continuous data assimilation in 2D turbulence
- Continuous data assimilation for the 3D primitive equations of the ocean
- Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study
- Finite determining parameters feedback control for distributed nonlinear dissipative systems -- a computational study
- On the global attractor of 2D incompressible turbulence with random forcing
- Downscaling the 2D Bénard convection equations using continuous data assimilation
- Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations
- Technical improvements for direct numerical simulation of homogeneous three-dimensional turbulence
- Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations
- Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations
- Semiglobal oblique projection exponential dynamical observers for nonautonomous semilinear parabolic-like equations
- Continuous data assimilation algorithm for the two dimensional Cahn-Hilliard-Navier-Stokes system
- The bleeps, the sweeps, and the creeps: convergence rates for dynamic observer patterns via data assimilation for the 2D Navier-Stokes equations
- Continuous data assimilation and long-time accuracy in a \(C^0\) interior penalty method for the Cahn-Hilliard equation
- Dynamically learning the parameters of a chaotic system using partial observations
- Continuous data assimilation for two-phase flow: analysis and simulations
- Continuous data assimilation for displacement in a porous medium
- Continuous data assimilation for the 3D Ladyzhenskaya model: analysis and computations
- Continuous data assimilation reduced order models of fluid flow
- Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations
- Analysis and computation of continuous data assimilation algorithms for Lorenz 63 system based on nonlinear nudging techniques
- Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation
- Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations
- Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation
- Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
- On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model
- Continuous data assimilation using general interpolant observables
- Determining map, data assimilation and an observable regularity criterion for the three-dimensional Boussinesq system
- Numerical criterion for the stabilization of steady states of the Navier-Stokes equations
- Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model
- Continuous data assimilation for the three-dimensional Navier–Stokes-α model
- A unified approach to determining forms for the 2D Navier-Stokes equations -- the general interpolants case
- A remark on the characterization of the gradient of a distribution
- Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems
- Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm
- Continuous Data Assimilation for the Three-Dimensional Navier--Stokes Equations
- Data Assimilation for the Navier--Stokes Equations Using Local Observables
- Nudging-based data assimilation of the turbulent flow around a square cylinder
- Concurrent MultiParameter Learning Demonstrated on the Kuramoto--Sivashinsky Equation
- Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier–Stokes equations
- Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements
- Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study
- Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations
- Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations
- Parameter Recovery for the 2 Dimensional Navier--Stokes Equations via Continuous Data Assimilation
- A Data Assimilation Algorithm: the Paradigm of the 3D Leray-α Model of Turbulence
- Spectral Filtering of Interpolant Observables for a Discrete-in-Time Downscaling Data Assimilation Algorithm
- Continuous data assimilation with stochastically noisy data
- Fourth-Order Time-Stepping for Stiff PDEs
- A Computational Study of a Data Assimilation Algorithm for the Two-dimensional Navier-Stokes Equations
- The Mathematical Theory of Finite Element Methods
- A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics
- Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates
- Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements
This page was built for publication: Super-exponential convergence rate of a nonlinear continuous data assimilation algorithm: the 2D Navier-Stokes equation paradigm
