Electronic Resource
Springer
Journal of statistical physics
78 (1995), S. 1555-1570
ISSN:
1572-9613
Keywords:
Boltzmann equation
;
discrete velocity models
;
weak convergence
;
random mass flow
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Two convergence results related to the approximation of the Boltzmann equation by discrete velocity models are presented. First we construct a sequence of deterministic discrete velocity models and prove convergence (as the number of discrete velocities tends to infinity) of their solutions to the solution of a spatially homogeneous Boltzmann equation. Second we introduce a sequence of Markov jump processes (interpreted as random discrete velocity models) and prove convergence (as the intensity of jumps tends to infinity) of these processes to the solution of a deterministic discrete velocity model.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02180142
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