A rate of convergence for the LANS\(\alpha\) regularization of Navier-Stokes equations

DOI10.1016/j.jmaa.2008.07.051zbMath1221.35274OpenAlexW2012711099MaRDI QIDQ950460

Enrique A. Thomann, Sun-Chul Kim, Edward C. Waymire, Ronald B. Guenther, Larry Chen

Publication date: 22 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.051

zbMATH Keywords

turbulenceconvergence ratebranching random walkLagrangian averaged Navier-Stokes equationsmultiplicative stochastic cascade

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Statistical turbulence modeling (76F55) Stochastic analysis applied to problems in fluid mechanics (76M35) Navier-Stokes equations (35Q30)

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Cites Work

• Unnamed Item
• Probability \& incompressible Navier-Stokes equations: an overview of some recent developments
• Stochastic cascades and 3-dimensional Navier-Stokes equations
• The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
• Multiplicative cascades applied to PDEs (two numerical examples)
• Analytical study of certain magnetohydrodynamic-α models
• Majorizing kernels and stochastic cascades with applications to incompressible Navier-Stokes equations
• Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
• Kármán–Howarth theorem for the Lagrangian-averaged Navier–Stokes–alpha model of turbulence
• On a Leray–α model of turbulence
• The Navier-Stokes-alpha model of fluid turbulence
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory