On the existence of an inertial manifold for a deconvolution model of the 2D mean Boussinesq equations

DOI10.1002/mma.4939zbMath1397.35196arXiv1710.10167OpenAlexW3101355073WikidataQ129948265 ScholiaQ129948265MaRDI QIDQ4581116

Davide Catania, Luca Bisconti

Publication date: 23 August 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.10167

zbMATH Keywords

Navier-Stokes equationsglobal attractorturbulent flowsBoussinesq equationsinertial manifolddeconvolution modelslarge eddy simulation (LES)

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) Direct numerical and large eddy simulation of turbulence (76F65) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Dynamical systems approach to turbulence (76F20)

Related Items (5)

Global existence and regularity for the dynamics of viscous oriented fluids ⋮ Regularity of the inertial manifolds for evolution equations in admissible spaces and finite-dimensional feedback controllers ⋮ Remark on a regularity criterion in terms of pressure for the 3D inviscid Boussinesq-Voigt equations ⋮ On the convergence rates for the three‐dimensional filtered Boussinesq equations ⋮ On the existence and regularity of admissibly inertial manifolds with sectorial operators

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