AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Journal of Xinjiang University(Natural Science Edition in Chinese and English) Article
PDF (8.4 MB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline

Formation of Singularities in Solutions to the Aw-Rascle Traffic Flow System for the Generalized Chaplygin Gas

School of Mathematics and System Sciences, Xinjiang University, Urumqi Xinjiang 830017, China
Show Author Information

Abstract

The formation of singularities in the classical solutions to the Aw-Rascle traffic flow system with generalized Chaplygin gas is studied. By using the method of characteristic decomposition, we prove that the density itself of the classical solutions of the Cauchy problem for the traffic flow model will blow up in finite time when the initial data meets certain conditions. Additionally, this physical phenomenon is verified by numerical simulation.

Keywords

Aw-Rascle traffic flow systemgeneralized Chaplygin gassingularity formationcharacteristic decomposition
CLC number: O175.2 Document code: A Article ID: 2096-7675(2023)04-0422-011

References

【1】
【1】
 
 
Crossref Google Scholar
Journal of Xinjiang University(Natural Science Edition in Chinese and English)
Volume 40 Issue 4,
July 2023
Pages 422-432
DOI: 10.13568/j.cnki.651094.651316.2022.12.09.0002

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
XIN X, GUO L. Formation of Singularities in Solutions to the Aw-Rascle Traffic Flow System for the Generalized Chaplygin Gas. Journal of Xinjiang University(Natural Science Edition in Chinese and English), 2023, 40(4): 422-432. https://doi.org/10.13568/j.cnki.651094.651316.2022.12.09.0002

503

Views

25

Downloads

0

Crossref
Received: 09 December 2022
Published: 01 July 2023
© 2023 Journal of Xinjiang University (Natural Science Edition in Chinese and English)