Affiliation:
1. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italia
Abstract
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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modeling and Simulation
Cited by
10 articles.
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