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

N. Bellomo; S. Kawashima

doi:10.1063/1.528866

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

N. Bellomo^*, S. Kawashima

^*Corresponding author for this work

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

14 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	245-253
Number of pages	9
Journal	Journal of Mathematical Physics
Volume	31
Issue number	1
DOIs	https://doi.org/10.1063/1.528866
Publication status	Published - 1990
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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abstract = "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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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

Abstract

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