Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
Entropy production estimate for the ES-BGK model with the correct Prandtl number
- Authors
- Kim, Doheon; Lee, Myeong-Su; Yun, Seok-Bae
- Issue Date
- Oct-2022
- Publisher
- Academic Press
- Keywords
- Kinetic theory of gases; Boltzmann equation; ES-BGK model; Entropy production estimate
- Citation
- Journal of Mathematical Analysis and Applications, v.514, no.2, pp 1 - 15
- Pages
- 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Mathematical Analysis and Applications
- Volume
- 514
- Number
- 2
- Start Page
- 1
- End Page
- 15
- ISSN
- 0022-247X
1096-0813
- Abstract
- In this paper, we establish the entropy-entropy production estimate for the ESBGK model, a generalized version of the BGK model of the Boltzmann equation introduced for better approximation in the Navier-Stokes limit. Our result improves the previous entropy production estimate [38] in that (1) the full range of Prandtl parameters - 1/2 < v < 1 including the critical case v = -1/2 is covered, and (2) a sharper entropy production bound is obtained. An explicit characterization of the coefficient of the entropy-entropy production estimate is also presented. (C) 2022 Published by Elsevier Inc.
- Files in This Item
- Go to Link
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Kim, Doheon
- ERICA 소프트웨어융합대학 (ERICA 수리데이터사이언스학과)