### 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 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*22*(1), 245-253.

**The discrete Boltzmann equation with multiple collisions : Global existence and stability for the initial value problem.** / Bellomo, N.; Kawashima, Shuichi.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 22, no. 1, pp. 245-253.

}

TY - JOUR

T1 - The discrete Boltzmann equation with multiple collisions

T2 - Global existence and stability for the initial value problem

AU - Bellomo, N.

AU - Kawashima, Shuichi

PY - 1980/12/1

Y1 - 1980/12/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=36749116290&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36749116290&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36749116290

VL - 22

SP - 245

EP - 253

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

ER -