Entropy production for ellipsoidal BGK model of the Boltzmann equation

Abstract

The ellipsoidal BGK model (ES-BGK) is a generalized version of the BGK model of the Boltzmann equation 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 parameter $-1/2<\nu <1$. Secondly, we observe that the ellipsoidal relaxation operator satisfies an unexpected sign-definite property. Some implications of these observations are also discussed.

Published in Kinetic and Related Models 9 (2016) no.3, 605-619

References in corpus (1)

• Entropy dissipation estimates for the linear Boltzmann operator