Dissipative hydrodynamic models for the diffusion of impurities in a gas

Stephane Brull; Lorenzo Pareschi

doi:10.1016/j.aml.2005.07.008

Dissipative hydrodynamic models for the diffusion of impurities in a gas

Stephane Brull, Lorenzo Pareschi^*

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

Recently, linear dissipative models of the Boltzmann equation have been introduced in [B. Loods, G. Toscani, The dissipative linear Boltzmann equation for hard spheres, J. Statist. Phys. 117 (2004) 635-664] and [G. Spiga, G. Toscani, The dissipative linear Boltzmann equation, Appl. Math. Lett. 17 (2004) 255-301]. In this note, we consider the problem of constructing suitable hydrodynamic approximations for such models.

Original language	English
Pages (from-to)	516-521
Number of pages	6
Journal	Applied Mathematics Letters
Volume	19
Issue number	6
DOIs	https://doi.org/10.1016/j.aml.2005.07.008
Publication status	Published - Jun 2006

Keywords

Dissipative collisions
Gas mixture
Hydrodynamic model

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2005.07.008

Cite this

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abstract = "Recently, linear dissipative models of the Boltzmann equation have been introduced in [B. Loods, G. Toscani, The dissipative linear Boltzmann equation for hard spheres, J. Statist. Phys. 117 (2004) 635-664] and [G. Spiga, G. Toscani, The dissipative linear Boltzmann equation, Appl. Math. Lett. 17 (2004) 255-301]. In this note, we consider the problem of constructing suitable hydrodynamic approximations for such models.",

keywords = "Dissipative collisions, Gas mixture, Hydrodynamic model",

author = "Stephane Brull and Lorenzo Pareschi",

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T1 - Dissipative hydrodynamic models for the diffusion of impurities in a gas

AU - Brull, Stephane

AU - Pareschi, Lorenzo

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AB - Recently, linear dissipative models of the Boltzmann equation have been introduced in [B. Loods, G. Toscani, The dissipative linear Boltzmann equation for hard spheres, J. Statist. Phys. 117 (2004) 635-664] and [G. Spiga, G. Toscani, The dissipative linear Boltzmann equation, Appl. Math. Lett. 17 (2004) 255-301]. In this note, we consider the problem of constructing suitable hydrodynamic approximations for such models.

KW - Dissipative collisions

KW - Gas mixture

KW - Hydrodynamic model

UR - https://www.scopus.com/pages/publications/33644783567

U2 - 10.1016/j.aml.2005.07.008

DO - 10.1016/j.aml.2005.07.008

M3 - Article

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SP - 516

EP - 521

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 6

ER -

Dissipative hydrodynamic models for the diffusion of impurities in a gas

Abstract

Keywords

ASJC Scopus subject areas

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