A 3-DIMENSIONAL BOLTZMANN-LIKE MODEL OF OUTGASSING AND CONTAMINATION

We consider a Boltzmann-like model of outgassing and contamination in a three-dimensional region V = V-1 boolean OR V-2 boolean OR V-3. V-1 is the region where the contaminant particles are produced, and V-2 is the region where such particles migrate and interact with some inert gas. V-3 is where contamination takes place because of the particles e manating from V-2. In each of the three regions, the behaviour of the contaminant particles is represented by means of a Boltzmann-like equa tion. We show that such a problem has a unique positive strict solutio n, belonging to a suitable L-1 Banach space X. Finally, a system of or dinary differential equations is derived which gives the evolution of the total number of contaminant particles in each of the three regions .