On a turbulent system with unbounded eddy viscosities
type: Item
instance of: scholarly article
title: On a turbulent system with unbounded eddy viscosities
zbMATH Open document ID: 1013.35068
DOI: 10.1016/S0362-546X(01)00890-2
author: Roger Lewandowski
author: François Murat
author: Luc Tartar
author: T. Gallouët
author: Johannes Lederer
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-11T00:00:00Z
review text: The authors study a model system obtained as a mathematical sub-product of the large scale one-degree closure Reynolds system for simulating turbulent flows. Existence of a distributional solution is shown for the evolutionary 2-D case and the steady-state 3-D case. The time-dependent 3-D case remains open.
reviewed by: Thomas Sonar
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76F02
zbMATH DE Number: 1879996
zbMATH Keywords: model system
zbMATH Keywords: turbulence
zbMATH Keywords: eddy viscosity
MaRDI profile type: Publication
cites work: Nonlinear elliptic and parabolic equations involving measure data
cites work: Impact of the variations of the mixing length in a first order turbulent closure system
cites work: Entropy, reversible diffusion processes and Markov uniqueness
cites work: Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients
cites work: On the Cauchy problem for Boltzmann equations: Global existence and weak stability
cites work: Ordinary differential equations, transport theory and Sobolev spaces
cites work: Existence of a solution to a coupled elliptic system
cites work: Mathematical analysis and oceanography. Essay on modeling and mathematical analysis of turbulence models used in oceanography
cites work: The mathematical analysis of the coupling of a turbulent kinetic energy equation to the navier-stokes equation with an eddy viscosity
Recommended article: On a Stochastic Approach to Eddy Viscosity Models for Turbulent Flows
Recommended article: Intermittency and eddy viscosities in dynamical models of turbulence
Recommended article: Results for a turbulent system with unbounded viscosities: weak formulations, existence of solutions, boundedness and smoothness
Recommended article: Q4851316
Recommended article: Q4446137
Recommended article: Q4012071
Recommended article: Optimal nonlinear eddy viscosity in Galerkin models of turbulent flows
Recommended article: Mean and turbulence dynamics in unsteady Ekman boundary layers
Recommended article: Navier-Stokes equations in the whole space with an eddy viscosity
description: scientific article; zbMATH DE number 1879996