The ephemeral nature of Navier-Stokes-\(\alpha\beta\) continua
type: Item
instance of: scholarly article
title: The ephemeral nature of Navier-Stokes-\(\alpha\beta\) continua
zbMATH Open document ID: 1322.76003
DOI: 10.4171/RLM/588
author: Gianfranco Capriz
author: Eliot Fried
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2011-06-23T00:00:00Z
review text: Summary: Navier-Stokes-\(\alpha\beta\) continua are shown to be a special subclass of the recently introduced class of ephemeral continua that arises when particular constraints and constitutive relations are introduced. Beside offering a new endorsement of balance equations already obtained by numerous authors, our study offers a chance for enlightening remarks, remarks that might possibly lead to further developments.
Mathematics Subject Classification ID: 76A02
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76F02
zbMATH DE Number: 5912111
zbMATH Keywords: turbulence
zbMATH Keywords: inertia
zbMATH Keywords: dispersion
zbMATH Keywords: dissipation
MaRDI profile type: Publication
cites work: Spin fluids and hyperfluids
cites work: Discrete and continuous bodies with affine structure
cites work: Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
cites work: The Camassa-Holm equations and turbulence
cites work: Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
cites work: A continuum mechanical theory for turbulence: a generalized Navier-Stokes-\(\alpha\) equation with boundary conditions
cites work: The Euler-Poincaré equations and semidirect products with applications to continuum theories
cites work: Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion
cites work: Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics
cites work: The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
cites work: Hyperfluid -- a model of classical matter with hypermomentum
cites work: Q5828610
full work available at URL: https://doi.org/10.4171/rlm/588
OpenAlex ID: W1431744301
description: scientific article; zbMATH DE number 5912111