Cauchy problem for the ES-BGK model with the correct Prandtl number

Sung jun Son; Seok Bae Yun

doi:10.1007/s42985-022-00175-2

Cauchy problem for the ES-BGK model with the correct Prandtl number

Sung jun Son
, Seok Bae Yun

Department of Mathematics

Sungkyunkwan University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we establish the existence of weak solutions to the ellipsoidal BGK model (ES-BGK model) of the Boltzmann equation with the correct Prandtl number, which corresponds to the case when the Knudsen parameter is - 1 / 2.

Original language	English
Article number	41
Journal	Partial Differential Equations and Applications
Volume	3
Issue number	3
DOIs	https://doi.org/10.1007/s42985-022-00175-2
State	Published - Jun 2022

Keywords

BGK model
Boltzmann equation
Cauchy problem
Correct Prandtl number
Ellipsoidal BGK model
Kinetic theory of gases

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10.1007/s42985-022-00175-2

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title = "Cauchy problem for the ES-BGK model with the correct Prandtl number",

abstract = "In this paper, we establish the existence of weak solutions to the ellipsoidal BGK model (ES-BGK model) of the Boltzmann equation with the correct Prandtl number, which corresponds to the case when the Knudsen parameter is - 1 / 2.",

keywords = "BGK model, Boltzmann equation, Cauchy problem, Correct Prandtl number, Ellipsoidal BGK model, Kinetic theory of gases",

author = "Son, \{Sung jun\} and Yun, \{Seok Bae\}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2022",

month = jun,

doi = "10.1007/s42985-022-00175-2",

language = "English",

volume = "3",

journal = "Partial Differential Equations and Applications",

issn = "2662-2963",

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T1 - Cauchy problem for the ES-BGK model with the correct Prandtl number

AU - Son, Sung jun

AU - Yun, Seok Bae

PY - 2022/6

Y1 - 2022/6

N2 - In this paper, we establish the existence of weak solutions to the ellipsoidal BGK model (ES-BGK model) of the Boltzmann equation with the correct Prandtl number, which corresponds to the case when the Knudsen parameter is - 1 / 2.

AB - In this paper, we establish the existence of weak solutions to the ellipsoidal BGK model (ES-BGK model) of the Boltzmann equation with the correct Prandtl number, which corresponds to the case when the Knudsen parameter is - 1 / 2.

KW - BGK model

KW - Boltzmann equation

KW - Cauchy problem

KW - Correct Prandtl number

KW - Ellipsoidal BGK model

KW - Kinetic theory of gases

UR - https://www.scopus.com/pages/publications/85132654406

U2 - 10.1007/s42985-022-00175-2

DO - 10.1007/s42985-022-00175-2

M3 - Article

AN - SCOPUS:85132654406

SN - 2662-2963

VL - 3

JO - Partial Differential Equations and Applications

JF - Partial Differential Equations and Applications

IS - 3

M1 - 41

ER -

Cauchy problem for the ES-BGK model with the correct Prandtl number

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Keywords

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