scholarly journals Asymptotic behavior of one-dimensional discrete-velocity models in a slab

1994 ◽  
Vol 127 (4) ◽  
pp. 337-360 ◽  
Author(s):  
C. Bose ◽  
P. Grzegorczyk ◽  
R. Illner
Keyword(s):  
Asymptotic Behavior ◽  
Discrete Velocity Models ◽  
One Dimensional ◽  
Discrete Velocity ◽  
Velocity Models

LIMIT THEOREMS FOR DETERMINISTIC KNUDSEN FLOWS BETWEEN TWO PLATES

1996 ◽  
Vol 06 (04) ◽  
pp. 503-520 ◽  
Author(s):  
HANS BABOVSKY
Keyword(s):  
Large Class ◽  
Test Particle ◽  
Limit Theorems ◽  
Velocity Model ◽  
Diffusion Limit ◽  
Parallel Plates ◽  
Discrete Velocity Models ◽  
Discrete Velocity ◽  
Velocity Models ◽  
Model Dynamics

We investigate the model dynamics of a test particle which moves between two parallel plates and is reflected at the walls according to some deterministic periodic reflection 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.

Sign in / Sign up

Export Citation Format

Share Document