Limit theorems for deterministic Knudsen flows between two plates
- Babovsky, Hans
2010 Mathematics Subject Classification
- 76P05 60F99 82D05
- deterministic periodic reflection law, continuous velocity model, diffusion limit, Markov partition approach, discrete velocity models
We investigate the model dynamics of a test particle which moves between two parallel plates and is refected at the walls according to some deterministic periodic refection law. For a particular continuous velocity model, a diffusion limit is derived using the Markov partition approach. It is shown that at least for a large class of discrete velocity models such a limit is not possible. Numerical aspects are discussed.
- Math. Models Methods Appl. Sci., Vol. 6 (1996), pp. 503--520