Inertial Manifolds for Certain Subgrid-Scale $\alpha$-Models of Turbulence

DOI10.1137/140987833zbMath1328.35150arXiv1409.4810OpenAlexW2098679347MaRDI QIDQ5266260

Yanqiu Guo, Mohammad Abu Hamed, Edriss S. Titi

Publication date: 30 July 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4810

zbMATH Keywords

Navier-Stokes equationsinertial manifoldturbulence modelssubgrid-scale modelsmodified Leray-\(\alpha\) modelsimplified Bardina model

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Statistical turbulence modeling (76F55) Navier-Stokes equations (35Q30) Direct numerical and large eddy simulation of turbulence (76F65) Dynamical systems approach to turbulence (76F20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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