Lattice gases, large deviations, and the incompressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: Lattice gases, large deviations, and the incompressible Navier-Stokes equations
zbMATH Open document ID: 0919.35102
DOI: 10.2307/120992
author: Horng-Tzer Yau
author: J. D. Quastel
published in: Annals of Mathematics. Second Series
publication date: 1998-12-07T00:00:00Z
full work available at URL: 148 1.html
review text: The authors obtain weak solutions of the incompressible Navier-Stokes equations from a well-defined microscopic model without any smoothness assumptions at the macroscopic scale. First one introduces the stochastic lattice gas model and then one gives a heuristic derivation of the incompressible Navier-Stokes equations from this model, assuming local equilibrium.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 82C20
zbMATH DE Number: 1230552
zbMATH Keywords: lattice gas model
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: multiscale analysis
zbMATH Keywords: weak solution
reviewed by: Valeriu Al. Sava
MaRDI profile type: Publication
OpenAlex ID: W2322794948
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description: scientific article; zbMATH DE number 1230552