Continuous data assimilation algorithm for simplified Bardina model

DOI10.3934/eect.2018002zbMath1405.93121OpenAlexW2781608692MaRDI QIDQ1711845

Maicon J. Benvenutti, Débora A. F. Albanez

Publication date: 18 January 2019

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2018002

zbMATH Keywords

global solutionscontinuous data assimilationdegree of freedominterpolantsBardina equations

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations (35Q30) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Flow control and optimization for incompressible inviscid fluids (76B75) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (9)

Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data ⋮ Continuous data assimilation algorithm for the two dimensional Cahn-Hilliard-Navier-Stokes system ⋮ Determining map, data assimilation and an observable regularity criterion for the three-dimensional Boussinesq system ⋮ Data assimilation with model error: analytical and computational study for sabra shell model ⋮ Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements ⋮ Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques ⋮ Unnamed Item ⋮ Continuous data assimilation for the three-dimensional simplified Bardina model utilizing measurements of only two components of the velocity field ⋮ Continuous Data Assimilation for the Three-Dimensional Navier--Stokes Equations

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