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- Title
ENTROPY PRODUCTION FOR ELLIPSOIDAL BGK MODEL OF THE BOLTZMANN EQUATION.
- Authors
SEOK-BAE YUN
- Abstract
The ellipsoidal BGK model (ES-BGK) is a generalized version of the original BGK model, designed to yield the correct Prandtl number in the Navier-Stokes limit. In this paper, we make two observations on the entropy production functional of the ES-BGK model. First, we show that the Cercignani type estimate holds for the ES-BGK model in the whole range of relaxation parameter -1=2 < ϑ < 1. Secondly, we observe that the ellipsoidal relaxation operator satisfies an unexpected sign-definite property. Some implications of these observations are also discussed.
- Subjects
ENTROPY; BOLTZMANN'S equation; NAVIER-Stokes equations; PRANDTL number; RELAXATION methods (Mathematics)
- Publication
Kinetic & Related Models, 2016, Vol 9, Issue 3, p605
- ISSN
1937-5093
- Publication type
Article
- DOI
10.3934/krm.2016009