Estimates for the LANS-$\alpha$, Leray-$\alpha$ and Bardina models in terms of a Navier-Stokes Reynolds number

DOI10.1512/iumj.2008.57.3701zbMath1157.76009OpenAlexW1987758719MaRDI QIDQ3606161

Darryl D. Holm, John D. Gibbon

Publication date: 26 February 2009

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2008.57.3701

zbMATH Keywords

regularityattractor dimension

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

On 3D Lagrangian Navier-Stokes \(\alpha\) model with a class of vorticity-slip boundary conditions, Global regularity of logarithmically supercritical 3-D LAMHD-alpha system with zero diffusion, A remark on the two-dimensional magneto-hydrodynamics-alpha system, Analysis of a general family of regularized Navier-Stokes and MHD models, Global well-posedness for a family of MHD-alpha-like models, Turbulence properties and global regularity of a modified Navier-Stokes equation, On the global regularity of generalized Leray-alpha type models, Regularization of the shock wave solution to the Riemann problem for the relativistic Burgers equation, Navier-Stokes equations in the whole space with an eddy viscosity, Global solutions to the generalized Leray-\(\alpha\) system with non-\(L^2(\mathbb{R}^n)\) initial data