The ES-BGK for the Polyatomic Molecules with Infinite Energy

The ES-BGK model is a generalized version of the BGK model of the Boltzmann equation designed to reproduce the correct Prandtl number in the Navier–Stokes limit. We prove the existence and uniqueness of mild solutions to the ES-BGK model for polyatomic molecules when the total energy of the initial...

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Bibliographic Details
Published in:	Journal of statistical physics Vol. 190; no. 8
Main Authors:	Son, Sung-jun, Yun, Seok-Bae
Format:	Journal Article
Language:	English
Published:	New York Springer US 26-07-2023 Springer
Subjects:	Analysis Distribution (Probability theory) Mathematical and Computational Physics Physical Chemistry Physics Physics and Astronomy Quantum Physics Specific gravity Statistical Physics and Dynamical Systems Theoretical Ellipsoidal BGK model Boltzmann equation BGK model Kinetic theory of gases Cauchy problem
Online Access:	Get full text
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Summary:	The ES-BGK model is a generalized version of the BGK model of the Boltzmann equation designed to reproduce the correct Prandtl number in the Navier–Stokes limit. We prove the existence and uniqueness of mild solutions to the ES-BGK model for polyatomic molecules when the total energy of the initial data is not necessarily finite.
ISSN:	1572-9613 0022-4715 1572-9613
DOI:	10.1007/s10955-023-03139-x