On Cabannes' 32-velocity models of the Boltzmann equation (Q1091213)
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scientific article; zbMATH DE number 4010092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Cabannes' 32-velocity models of the Boltzmann equation |
scientific article; zbMATH DE number 4010092 |
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On Cabannes' 32-velocity models of the Boltzmann equation (English)
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1986
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The paper begins with a review of the regular (in the sense of \textit{Y. Shizuta} and \textit{S. Kawashima}, Proc. Japan Acad., Ser. A 61, 252-254 (1985; Zbl 0589.76098)) discrete velocity models of the Boltzmann equation. The main result of the present work is a proof of the regularity of Cabannes' 32-velocity models. As a consequence, these models satisfy a global existence, uniqueness and asymptotic stability theorem for the Cauchy problem with the initial values close to the absolute Maxwellian.
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discrete velocity models
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Boltzmann equation
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regularity
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global existence
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uniqueness
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asymptotic stability
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Cauchy problem
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