Continuous data assimilation for the three-dimensional planetary geostrophic equations of large-scale ocean circulation

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Smoothness and regularity of solutions to PDEs (35B65) Hydrology, hydrography, oceanography (86A05) Navier-Stokes equations (35Q30) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Flow control and optimization for incompressible inviscid fluids (76B75) PDEs in connection with geophysics (35Q86)

Cites Work

Unnamed Item
Unnamed Item
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
Determining finite volume elements for the 2D Navier-Stokes equations
Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations
Data assimilation for the Navier-Stokes-\(\alpha \) equations
Determining modes and Grashof number in 2D turbulence: a numerical case study
Infinite-dimensional dynamical systems in mechanics and physics.
Continuous data assimilation for the 3D primitive equations of the ocean
Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations
Global in time stability and accuracy of IMEX-FEM data assimilation schemes for 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
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
Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation
Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation
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
Determining map, data assimilation and an observable regularity criterion for the three-dimensional Boussinesq system
A unified approach to determining forms for the 2D Navier-Stokes equations -- the general interpolants case
Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm
Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
Continuous Data Assimilation for the Three-Dimensional Navier--Stokes Equations
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
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
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
Simple and efficient continuous data assimilation of evolution equations via algebraic nudging
Super-exponential convergence rate of a nonlinear continuous data assimilation algorithm: the 2D Navier-Stokes equation paradigm
Data assimilation to the primitive equations with \(L^p\)-\(L^q\)-based maximal regularity approach

This page was built for publication: Continuous data assimilation for the three-dimensional planetary geostrophic equations of large-scale ocean circulation