Determining the viscosity of the Navier–Stokes equations from observations of finitely many modes
From MaRDI portal
Publication:6087359
DOI10.1088/1361-6420/ad065fzbMath1528.35087arXiv2211.15772OpenAlexW4387899576MaRDI QIDQ6087359
Publication date: 15 November 2023
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.15772
Attractors (35B41) Navier-Stokes equations for incompressible viscous fluids (76D05) Inverse problems for PDEs (35R30) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Inverse problems in fluid mechanics (76M21) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
- 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
- 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
- Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data
- Infinite-dimensional dynamical systems in mechanics and physics.
- Continuous data assimilation for the 3D primitive equations of the ocean
- Finite determining parameters feedback control for distributed nonlinear dissipative systems -- a computational study
- Hidden physics models: machine learning of nonlinear partial differential equations
- Downscaling the 2D Bénard convection equations using continuous data assimilation
- Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations
- Data assimilation using noisy time-averaged measurements
- Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations
- Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- 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
- Continuous data assimilation for a 2D Bénard convection system through horizontal 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
- Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model
- Continuous data assimilation for the three-dimensional Navier–Stokes-α model
- Accuracy and stability of the continuous-time 3DVAR filter for the Navier–Stokes equation
- Parameter Estimation of Partial Differential Equation Models
- A determining form for the two-dimensional Navier-Stokes equations: The Fourier modes case
- A unified approach to determining forms for the 2D Navier-Stokes equations -- the general interpolants case
- An iterative representer-based scheme for data inversion in reservoir modeling
- Bayesian inverse problems for functions and applications to fluid mechanics
- On-Line Parameter Estimation for Infinite-Dimensional Dynamical Systems
- Applied Analysis of the Navier-Stokes Equations
- hIPPYlib
- 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
- Parameter Recovery for the 2 Dimensional Navier--Stokes Equations via Continuous Data Assimilation
- Spectral Filtering of Interpolant Observables for a Discrete-in-Time Downscaling Data Assimilation Algorithm
- Continuous data assimilation with stochastically noisy data
- A Computational Study of a Data Assimilation Algorithm for the Two-dimensional Navier-Stokes Equations
- jInv--a Flexible Julia Package for PDE Parameter Estimation
- The ensemble Kalman filter for combined state and parameter estimation
- A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics
- Time analyticity with higher norm estimates for the 2D 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
This page was built for publication: Determining the viscosity of the Navier–Stokes equations from observations of finitely many modes
