From discrete velocity boltzmann equations to gas dynamics before shocks

Florent Berthelin; Athanasios E. Tzavaras; Alexis Vasseur

doi:10.1007/s10955-009-9709-1

From discrete velocity boltzmann equations to gas dynamics before shocks

Florent Berthelin, Athanasios E. Tzavaras, Alexis Vasseur^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

This article is devoted to the proof of the hydrodynamic limit for a discrete velocity Boltzmann equation before appearance of shocks in the limit system.

Original language	English (US)
Pages (from-to)	153-173
Number of pages	21
Journal	Journal of Statistical Physics
Volume	135
Issue number	1
DOIs	https://doi.org/10.1007/s10955-009-9709-1
State	Published - Apr 2009
Externally published	Yes

Keywords

Discrete Boltzmann equations
Entropy methods
Gas dynamics
Hydrodynamic limit

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s10955-009-9709-1

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title = "From discrete velocity boltzmann equations to gas dynamics before shocks",

abstract = "This article is devoted to the proof of the hydrodynamic limit for a discrete velocity Boltzmann equation before appearance of shocks in the limit system.",

keywords = "Discrete Boltzmann equations, Entropy methods, Gas dynamics, Hydrodynamic limit",

author = "Florent Berthelin and Tzavaras, {Athanasios E.} and Alexis Vasseur",

year = "2009",

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doi = "10.1007/s10955-009-9709-1",

language = "English (US)",

volume = "135",

pages = "153--173",

journal = "Journal of Statistical Physics",

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AU - Berthelin, Florent

AU - Tzavaras, Athanasios E.

AU - Vasseur, Alexis

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N2 - This article is devoted to the proof of the hydrodynamic limit for a discrete velocity Boltzmann equation before appearance of shocks in the limit system.

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KW - Discrete Boltzmann equations

KW - Entropy methods

KW - Gas dynamics

KW - Hydrodynamic limit

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DO - 10.1007/s10955-009-9709-1

M3 - Article

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JO - Journal of Statistical Physics

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IS - 1

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From discrete velocity boltzmann equations to gas dynamics before shocks

Abstract

Keywords

ASJC Scopus subject areas

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