Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier–Stokes equations

DOI10.1088/1361-6544/ac5362zbMath1487.35300arXiv2110.11568OpenAlexW4224863941MaRDI QIDQ5072397

Vincent R. Martinez

Publication date: 28 April 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.11568

zbMATH Keywords

convergence analysisNavier-Stokes equationssystem identificationparameter estimationsynchronizationfeedback controldata assimilation

Mathematics Subject Classification ID

Feedback control (93B52) Navier-Stokes equations for incompressible viscous fluids (76D05) System identification (93B30) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (6)

Data assimilation with model error: analytical and computational study for sabra shell model ⋮ Determining the viscosity of the Navier–Stokes equations from observations of finitely many modes ⋮ Removing Splitting/Modeling Error in Projection/Penalty Methods for Navier-Stokes Simulations with Continuous Data Assimilation ⋮ Super-exponential convergence rate of a nonlinear continuous data assimilation algorithm: the 2D Navier-Stokes equation paradigm ⋮ Recovering critical parameter for nonlinear Allen–Cahn equation by fully discrete continuous data assimilation algorithms ^* ⋮ Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow

Cites Work

• Unnamed Item
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• Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field
• 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
• Parameter estimation for the stochastically perturbed Navier-Stokes equations
• Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations
• Some specific mathematical constraints on 2D turbulence
• On the asymptotic behavior of average energy and enstrophy in 3D turbulent flows
• Infinite-dimensional dynamical systems in mechanics and physics.
• Statistical inference for SPDEs: an overview
• Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations
• 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
• Accuracy and stability of the continuous-time 3DVAR filter for the Navier–Stokes equation
• Dynamical State and Parameter Estimation
• Bayesian inverse problems for functions and applications to fluid mechanics
• New a priori estimates for navier-stokes equations in dimension 3
• Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm
• NONLINEAR DYNAMICAL SYSTEM IDENTIFICATION FROM UNCERTAIN AND INDIRECT MEASUREMENTS
• Data Assimilation for the Navier--Stokes Equations Using Local Observables
• Nonlinear System Identification: A User-Oriented Road Map
• Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements
• Parameter Recovery for the 2 Dimensional Navier--Stokes Equations via Continuous Data Assimilation
• Continuous data assimilation with stochastically noisy data
• Data Assimilation
• A Computational Study of a Data Assimilation Algorithm for the Two-dimensional Navier-Stokes Equations
• 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

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