Author:
BELLENI-MORANTE A.,BUSONI G.
Abstract
We consider a Boltzmann-like model of outgassing and contamination
in a three-dimensional region V=
V1∪V2∪V3.
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)
Cited by
3 articles.
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