OUTGASSING AND CONTAMINATION - STRICT SOLUTION OF A BOLTZMANN-LIKE MODEL

We consider a Boltzmann-like model of a problem of outgassing and cont amination in a region R. For simplicity, we assume that R = R1 or R2 o r R3, where R1 is the slab {x: -a < X < 0), R2 = {x: 0 < x < b}, R3 = {x: b < x < b1). R1 is the region where the contaminant particles are produced, R2 is the 'cavity' where such particles migrate and interact with some inert gas, usually at low pressure, and R3 is the region wh ich is contaminated by the particles coming from R2. In each of the th ree regions, the behaviour of the contaminant particles is represented by means of a Boltzmann-like equation. We prove that such a mathemati cal problem has a unique positive strict solution, belonging to a suit able Banach space Y A system of ordinary differential equations is als o derived, which gives the global balances of the contaminant particle s in each of the three regions.