### 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 |
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Pages (from-to) | 245-253 |

Number of pages | 9 |

Journal | Journal of Mathematical Physics |

Volume | 22 |

Issue number | 1 |

Publication status | Published - Dec 1 1980 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Bellomo, N., & Kawashima, S. (1980). The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem.

*Journal of Mathematical Physics*,*22*(1), 245-253.