Global attractor for the Navier-Stokes equations with fractional deconvolution

DOI10.1007/s00030-014-0305-yzbMath1327.76052OpenAlexW2059823505MaRDI QIDQ497406

Davide Catania, Paola Trebeschi, Alessandro Morando

Publication date: 24 September 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-014-0305-y

zbMATH Keywords

Navier-Stokes equationsglobal attractorfractional filterlarge eddy simulation (LES)approximate deconvolution models (ADM) and methodsfractal and Hausdorff dimension

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Direct numerical and large eddy simulation of turbulence (76F65) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (3)

Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region ⋮ On the convergence rates for the three‐dimensional filtered Boussinesq equations ⋮ Fourier spectral approximation to global attractor for 2D convective Cahn-Hilliard equation

Cites Work

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• Finite dimensional global attractor for 3D MHD-\(\alpha\) models: a comparison
• Convergence of approximate deconvolution models to the mean Navier-Stokes equations
• Global existence and finite dimensional global attractor for a 3D double viscous MHD-\(\alpha \) model
• Global existence for two regularized MHD models in three space-dimension
• Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
• Infinite-dimensional dynamical systems in mechanics and physics.
• Convergence of approximate deconvolution models to the mean magnetohydrodynamics equations: analysis of two models
• On a well-posed turbulence model
• Global well-posedness for deconvolution magnetohydrodynamics models with fractional regularization
• Global attractor and determining modes for a hyperbolic MHD turbulence Model
• Mathematics of Large Eddy Simulation of Turbulent Flows
• An approximate deconvolution procedure for large-eddy simulation
• Numerical simulations of the Lagrangian averaged Navier–Stokes equations for homogeneous isotropic turbulence
• Dynamics of evolutionary equations
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

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