EXISTENCE OF WEAK SOLUTIONS TO THE BGK EQUATION AND AN APPROXIMATE CONSERVATION LAWS WITH LARGE INITIAL DATA∗

Yu Dong; Zaihong Jiang; Li Li

doi:10.11948/20230129

EXISTENCE OF WEAK SOLUTIONS TO THE BGK EQUATION AND AN APPROXIMATE CONSERVATION LAWS WITH LARGE INITIAL DATA^∗

Yu Dong
, Zaihong Jiang^*
, Li Li

^*Corresponding author for this work

Ningbo University
Zhejiang Normal University

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

Abstract

This paper studies the Cauchy problem of a BGK model and the corresponding nonlinear hyperbolic conservation laws. Given bounded initial data for the kinetic equation, the existence of weak solutions to the BGK model is obtained by the time-splitting method. Moreover, weak solutions to the limiting hyperbolic system are obtained by passing the relaxation parameter to zero in a modified BGK model.

Original language	English
Pages (from-to)	162-181
Number of pages	20
Journal	Journal of Applied Analysis and Computation
Volume	14
Issue number	1
DOIs	https://doi.org/10.11948/20230129
State	Published - 2024
Externally published	Yes

Keywords

BGK equation
conservation laws
existence
time splitting method

Access to Document

10.11948/20230129

Cite this

@article{cd063f2eb8074b1ba3c48a6aacc7f9c3,

title = "EXISTENCE OF WEAK SOLUTIONS TO THE BGK EQUATION AND AN APPROXIMATE CONSERVATION LAWS WITH LARGE INITIAL DATA∗",

abstract = "This paper studies the Cauchy problem of a BGK model and the corresponding nonlinear hyperbolic conservation laws. Given bounded initial data for the kinetic equation, the existence of weak solutions to the BGK model is obtained by the time-splitting method. Moreover, weak solutions to the limiting hyperbolic system are obtained by passing the relaxation parameter to zero in a modified BGK model.",

keywords = "BGK equation, conservation laws, existence, time splitting method",

author = "Yu Dong and Zaihong Jiang and Li Li",

year = "2024",

doi = "10.11948/20230129",

language = "英语",

volume = "14",

pages = "162--181",

journal = "Journal of Applied Analysis and Computation",

issn = "2156-907X",

publisher = "Wilmington Scientific Publisher",

number = "1",

}

TY - JOUR

T1 - EXISTENCE OF WEAK SOLUTIONS TO THE BGK EQUATION AND AN APPROXIMATE CONSERVATION LAWS WITH LARGE INITIAL DATA∗

AU - Dong, Yu

AU - Jiang, Zaihong

AU - Li, Li

PY - 2024

Y1 - 2024

N2 - This paper studies the Cauchy problem of a BGK model and the corresponding nonlinear hyperbolic conservation laws. Given bounded initial data for the kinetic equation, the existence of weak solutions to the BGK model is obtained by the time-splitting method. Moreover, weak solutions to the limiting hyperbolic system are obtained by passing the relaxation parameter to zero in a modified BGK model.

AB - This paper studies the Cauchy problem of a BGK model and the corresponding nonlinear hyperbolic conservation laws. Given bounded initial data for the kinetic equation, the existence of weak solutions to the BGK model is obtained by the time-splitting method. Moreover, weak solutions to the limiting hyperbolic system are obtained by passing the relaxation parameter to zero in a modified BGK model.

KW - BGK equation

KW - conservation laws

KW - existence

KW - time splitting method

UR - https://www.scopus.com/pages/publications/85178870690

U2 - 10.11948/20230129

DO - 10.11948/20230129

M3 - 文章

AN - SCOPUS:85178870690

SN - 2156-907X

VL - 14

SP - 162

EP - 181

JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

IS - 1

ER -

EXISTENCE OF WEAK SOLUTIONS TO THE BGK EQUATION AND AN APPROXIMATE CONSERVATION LAWS WITH LARGE INITIAL DATA^∗

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this