Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equation
type: Item
instance of: scholarly article
title: Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equation
zbMATH Open document ID: 0906.60076
author: Horng-Tzer Yau
published in: Documenta Mathematica
publication date: 1998-08-05T00:00:00Z
full work available at URL: https://eudml.org/doc/226135
full work available at URL: Yau.MAN.html
review text: The hydrodynamic limits of microscopic stochastic dynamics provide us a way to understand the macroscopic fundamental equations in statistical physics, such as the Euler equations, the Navier-Stokes equations and so on. In the past years, there have been a great progress on this subject. The author outlines the main lines of the progress and in particular, the very recent progress on the incompressible Navier-Stokes equations, in terms of the so-called relative entropy method due to the author.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82C22
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 82C10
zbMATH DE Number: 1184359
zbMATH Keywords: stochastic dynamics
zbMATH Keywords: Euler equations
zbMATH Keywords: Navier-Stokes equations
reviewed by: Mu-Fa Chen
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1184359