A three-dimensional Boltzmann-like model of outgassing and contamination

Author:

BELLENI-MORANTE A.,BUSONI G.

Abstract

We consider a Boltzmann-like model of outgassing and contamination in a three-dimensional region V= V1V2V3. V1 is the region where the contaminant particles are produced, and V2 is the region where such particles migrate and interact with some inert gas. V3 is where contamination takes place because of the particles emanating from V2. In each of the three regions, the behaviour of the contaminant particles is represented by means of a Boltzmann-like equation. We show that such a problem has a unique positive strict solution, belonging to a suitable L1 Banach space X. Finally, a system of ordinary differential equations is derived which gives the evolution of the total number of contaminant particles in each of the three regions.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Small Parameter Methods: Basic Ideas;Methods of Small Parameter in Mathematical Biology;2014

2. A Mathematical Model for Gamma Ray Transport in the Cardiac Region;Journal of Mathematical Analysis and Applications;2000-04

3. A nonlinear Boltzmann-like model of outgassing and contamination;Transport Theory and Statistical Physics;1999-03-01

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