Cauchy problem for the ellipsoidal BGK model for polyatomic particles

Sa Jun Park; Seok Bae Yun

doi:10.1016/j.jde.2018.12.013

Cauchy problem for the ellipsoidal BGK model for polyatomic particles

Sa Jun Park
, Seok Bae Yun

Department of Mathematics

Sungkyunkwan University

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

17 Scopus citations

Abstract

We establish the existence and uniqueness of mild solutions for the polyatomic ellipsoidal BGK model, which is a relaxation type kinetic model describing the evolution of polyatomic gaseous system at the mesoscopic level.

Original language	English
Pages (from-to)	7678-7708
Number of pages	31
Journal	Journal of Differential Equations
Volume	266
Issue number	11
DOIs	https://doi.org/10.1016/j.jde.2018.12.013
State	Published - 15 May 2019

Keywords

BGK model
Boltzmann equation
Cauchy problem
Ellipsoidal BGK model
Kinetic theory of gases
Polyatomic gases

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10.1016/j.jde.2018.12.013

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@article{0dfce06f1bb2448996b8f578a86f87d4,

title = "Cauchy problem for the ellipsoidal BGK model for polyatomic particles",

abstract = "We establish the existence and uniqueness of mild solutions for the polyatomic ellipsoidal BGK model, which is a relaxation type kinetic model describing the evolution of polyatomic gaseous system at the mesoscopic level.",

keywords = "BGK model, Boltzmann equation, Cauchy problem, Ellipsoidal BGK model, Kinetic theory of gases, Polyatomic gases",

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

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2019",

month = may,

day = "15",

doi = "10.1016/j.jde.2018.12.013",

language = "English",

volume = "266",

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journal = "Journal of Differential Equations",

issn = "0022-0396",

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TY - JOUR

T1 - Cauchy problem for the ellipsoidal BGK model for polyatomic particles

AU - Park, Sa Jun

AU - Yun, Seok Bae

PY - 2019/5/15

Y1 - 2019/5/15

N2 - We establish the existence and uniqueness of mild solutions for the polyatomic ellipsoidal BGK model, which is a relaxation type kinetic model describing the evolution of polyatomic gaseous system at the mesoscopic level.

AB - We establish the existence and uniqueness of mild solutions for the polyatomic ellipsoidal BGK model, which is a relaxation type kinetic model describing the evolution of polyatomic gaseous system at the mesoscopic level.

KW - BGK model

KW - Boltzmann equation

KW - Cauchy problem

KW - Ellipsoidal BGK model

KW - Kinetic theory of gases

KW - Polyatomic gases

UR - https://www.scopus.com/pages/publications/85057947338

U2 - 10.1016/j.jde.2018.12.013

DO - 10.1016/j.jde.2018.12.013

M3 - Article

AN - SCOPUS:85057947338

SN - 0022-0396

VL - 266

SP - 7678

EP - 7708

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 11

ER -

Cauchy problem for the ellipsoidal BGK model for polyatomic particles

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Keywords

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