### 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 ∈ R^{1} of the "species" of fluid with velocity v ∈ R^{1}.

Original language | English (US) |
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Pages (from-to) | 577-590 |

Number of pages | 14 |

Journal | Communications In Mathematical Physics |

Volume | 189 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1997 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

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*Communications In Mathematical Physics*, vol. 189, no. 2, pp. 577-590. https://doi.org/10.1007/s002200050218

**One-Dimensional hard-rod caricature of hydrodynamics : "Navier-Stokes correction" for local equilibrium initial states *.** / Boldrighini, C.; Soukhov, Iouri M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - One-Dimensional hard-rod caricature of hydrodynamics

T2 - "Navier-Stokes correction" for local equilibrium initial states *

AU - Boldrighini, C.

AU - Soukhov, Iouri M.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0031518593&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031518593&partnerID=8YFLogxK

U2 - 10.1007/s002200050218

DO - 10.1007/s002200050218

M3 - Article

VL - 189

SP - 577

EP - 590

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -