The Perturbed Riemann Problem with Delta Shock for a Hyperbolic System

Joint Authors

Han, Xinli
Pan, Lijun

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

Physics

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