The stability of the Riemann solutions for the non-symmetry Keyfitz–Kranzer system with Chaplygin pressure

Jier Liu () and Lihui Guo ()
Additional contact information
Jier Liu: Xinjiang University
Lihui Guo: Xinjiang University

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 1, 207-221

Abstract: Abstract Under the local small perturbation of the Riemann initial data, we study the stability of Riemann solutions for Chaplygin gas equation as a special case of non-symmetric Keyfitz–Kranzer systems. We construct the global solutions of the perturbed Riemann problem. As the perturbed parameter $$\varepsilon$$ ε tends to zero, we show that there is no mass concentration even the initial perturbed density depends on the parameter $$\varepsilon$$ ε .

Keywords: Asymmetric Keyfitz–Kranzer system; Stability; Riemann problem; Delta shock wave; 35L65; 35L67; 76L05; 76N10 (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-021-00009-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:53:y:2022:i:1:d:10.1007_s13226-021-00009-8

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-021-00009-8

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().