On a positive decomposition of entropy production functional for the polyatomic BGK model

Sa Jun Park; Seok Bae Yun

doi:10.1016/j.aml.2017.10.010

On a positive decomposition of entropy production functional for the polyatomic BGK model

Sa Jun Park
, Seok Bae Yun

Department of Mathematics

Sungkyunkwan University

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

6 Scopus citations

Abstract

In this paper, we show that the entropy production functional for the polyatomic ellipsoidal BGK model can be decomposed into two non-negative parts. Two applications of this property: the H-theorem for the polyatomic BGK model and the weak compactness of the polyatomic ellipsoidal relaxation operator, are discussed.

Original language	English
Pages (from-to)	122-129
Number of pages	8
Journal	Applied Mathematics Letters
Volume	77
DOIs	https://doi.org/10.1016/j.aml.2017.10.010
State	Published - Mar 2018

Keywords

BGK model
Boltzmann equation
Entropy production functional
H-theorem
Kinetic theory of gases
Polyatomic gases

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10.1016/j.aml.2017.10.010

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title = "On a positive decomposition of entropy production functional for the polyatomic BGK model",

abstract = "In this paper, we show that the entropy production functional for the polyatomic ellipsoidal BGK model can be decomposed into two non-negative parts. Two applications of this property: the H-theorem for the polyatomic BGK model and the weak compactness of the polyatomic ellipsoidal relaxation operator, are discussed.",

keywords = "BGK model, Boltzmann equation, Entropy production functional, H-theorem, Kinetic theory of gases, Polyatomic gases",

author = "Park, \{Sa Jun\} and Yun, \{Seok Bae\}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Ltd",

year = "2018",

month = mar,

doi = "10.1016/j.aml.2017.10.010",

language = "English",

volume = "77",

pages = "122--129",

journal = "Applied Mathematics Letters",

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T1 - On a positive decomposition of entropy production functional for the polyatomic BGK model

AU - Park, Sa Jun

AU - Yun, Seok Bae

PY - 2018/3

Y1 - 2018/3

N2 - In this paper, we show that the entropy production functional for the polyatomic ellipsoidal BGK model can be decomposed into two non-negative parts. Two applications of this property: the H-theorem for the polyatomic BGK model and the weak compactness of the polyatomic ellipsoidal relaxation operator, are discussed.

AB - In this paper, we show that the entropy production functional for the polyatomic ellipsoidal BGK model can be decomposed into two non-negative parts. Two applications of this property: the H-theorem for the polyatomic BGK model and the weak compactness of the polyatomic ellipsoidal relaxation operator, are discussed.

KW - BGK model

KW - Boltzmann equation

KW - Entropy production functional

KW - H-theorem

KW - Kinetic theory of gases

KW - Polyatomic gases

UR - https://www.scopus.com/pages/publications/85034036408

U2 - 10.1016/j.aml.2017.10.010

DO - 10.1016/j.aml.2017.10.010

M3 - Article

AN - SCOPUS:85034036408

SN - 0893-9659

VL - 77

SP - 122

EP - 129

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

On a positive decomposition of entropy production functional for the polyatomic BGK model

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Keywords

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