A discrete data assimilation algorithm for the three dimensional planetary geostrophic equations of large-scale ocean circulation
DOI10.1007/s10884-022-10192-9zbMATH Open1542.3539MaRDI QIDQ6567206
Publication date: 4 July 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Control/observation systems governed by partial differential equations (93C20) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Flow control and optimization for incompressible inviscid fluids (76B75) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs with measure (35R06) Rossby waves (76U65)
Cites Work
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- 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
- 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.
- Determining modes for continuous data assimilation in 2D turbulence
- Finite determining parameters feedback control for distributed nonlinear dissipative systems -- a computational study
- Continuous data assimilation algorithm for simplified Bardina model
- 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
- Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
- Navier-Stokes equations and turbulence
- Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model
- Continuous data assimilation for the three-dimensional Navier-Stokes-\(\alpha\) model
- A determining form for the two-dimensional Navier-Stokes equations: The Fourier modes case
- Determining nodes, finite difference schemes and inertial manifolds
- Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal Values
- Determining Projections and Functionals for Weak Solutions of the Navier-Stokes Equations
- Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems
- Some mathematical properties of the planetary geostrophic equations for large-scale ocean circulation
- Numerical Experiments on the Interaction Between the Large- and Small-Scale Motions of the Navier-Stokes Equations
- Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
- 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
- Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements
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