The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem

N. Bellomo; S. Kawashima

The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem

N. Bellomo
, S. Kawashima

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

抄録

This paper deals with the analysis of the initial value problem in all space R^d, d≥2, for the discrete Boltzmann equation with multiple collisions. After a preliminary analysis of the mathematical modeling of the evolution equations, global existence and asymptotic behavior are proven using suitable stability criteria. Some applications verify the analysis for specific models.

本文言語	英語
ページ（範囲）	245-253
ページ数	9
ジャーナル	Journal of Mathematical Physics
巻	22
号	1
出版ステータス	出版済み - 1980
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

統計物理学および非線形物理学
数理物理学

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引用スタイル

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AB - This paper deals with the analysis of the initial value problem in all space Rd, d≥2, for the discrete Boltzmann equation with multiple collisions. After a preliminary analysis of the mathematical modeling of the evolution equations, global existence and asymptotic behavior are proven using suitable stability criteria. Some applications verify the analysis for specific models.

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The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem

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!!!All Science Journal Classification (ASJC) codes

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