THE SEMICONTINUOUS BOLTZMANN-EQUATION - TOWARDS A MODEL FOR FLUID DYNAMIC APPLICATIONS

被引：7

作者：

LONGO, E ^{[1
]}

PREZIOSI, L ^{[1
]}

BELLOMO, N ^{[1
]}

机构：

[1] POLITECN TORINO, DIPARTIMENTO MATEMAT, I-10129 TURIN, ITALY

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1993年 / 3卷 / 01期

关键词：

D O I：

10.1142/S0218202593000059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes a semicontinuous model of the Boltzmann equation for gas particles moving in the plane in all possible directions, but with a finite, large, number of velocity moduli. The model, called the n-semicontinuous Boltzmann equation, consists in a system of integro-differential equations with one-fold integrals over a suitable angular variable. Thermodynamic equilibrium is studied in details. The model is then applied to the analysis of a temperature jump problem. The results are compared with the ones obtained by continuous models of the Boltzmann equation.

引用

页码：65 / 93

页数：29

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