One-Dimensional hard-rod caricature of hydrodynamics

"Navier-Stokes correction" for local equilibrium initial states *

C. Boldrighini, Iouri M. Soukhov

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A one-dimensional system, consisting of identical hard-rod particles of length a is studied in the hydrodynamical limit. A "Navier-Stokes correction" to the Euler equation is found for an initial local equilibrium family of states P, ∈ > 0, of constant density. The correction is given, at t ∼ 0, by a non-linear second order differential operator acting on f (q, v), the hydrodynamical density at a point q ∈ R1 of the "species" of fluid with velocity v ∈ R1.

Original languageEnglish (US)
Pages (from-to)577-590
Number of pages14
JournalCommunications In Mathematical Physics
Volume189
Issue number2
DOIs
StatePublished - Jan 1 1997

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Local Equilibrium
Navier-Stokes
Hydrodynamics
rods
hydrodynamics
differential operators
One-dimensional System
Euler Equations
Differential operator
Fluid
fluids
Family

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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AB - A one-dimensional system, consisting of identical hard-rod particles of length a is studied in the hydrodynamical limit. A "Navier-Stokes correction" to the Euler equation is found for an initial local equilibrium family of states P∈, ∈ > 0, of constant density. The correction is given, at t ∼ 0, by a non-linear second order differential operator acting on f (q, v), the hydrodynamical density at a point q ∈ R1 of the "species" of fluid with velocity v ∈ R1.

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