The Perturbed Riemann Problem with Delta Shock for a Hyperbolic System
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we study the perturbed Riemann problem with delta shock for a hyperbolic system.
The problem is different from the previous perturbed Riemann problems which have no delta shock.
The solutions to the problem are obtained constructively.
From the solutions, we see that a delta shock in the corresponding Riemann solution may turn into a shock and a contact discontinuity under a perturbation of the Riemann initial data.
This shows the instability and the internal mechanism of a delta shock.
Furthermore, we find that the Riemann solution of the hyperbolic system is instable under this perturbation, which is also quite different from the previous perturbed Riemann problems.
American Psychological Association (APA)
Han, Xinli& Pan, Lijun. 2018. The Perturbed Riemann Problem with Delta Shock for a Hyperbolic System. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1119178
Modern Language Association (MLA)
Han, Xinli& Pan, Lijun. The Perturbed Riemann Problem with Delta Shock for a Hyperbolic System. Advances in Mathematical Physics No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1119178
American Medical Association (AMA)
Han, Xinli& Pan, Lijun. The Perturbed Riemann Problem with Delta Shock for a Hyperbolic System. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1119178
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119178