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

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

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	22
Issue number	1
Publication status	Published - 1980
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Cite this

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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

All Science Journal Classification (ASJC) codes

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