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On a Nonsymmetric Keyfitz-Kranzer System of Conservation Laws with Generalized and Modified Chaplygin Gas Pressure Law
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-19
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper is devoted to the study of a nonsymmetric Keyfitz-Kranzer system of conservation laws with the generalized and modified Chaplygin gas pressure law, which may admit delta shock waves, a topic of interest.
Firstly, we solve the Riemann problems with piecewise constant data having a single discontinuity.
For the generalized Chaplygin gas pressure law, the solution consists of three different structures: R+J, S+J, and δ.
Existence and uniqueness of delta shock solution are established under the generalized Rankine-Hugoniot relation and entropy condition.
For the modified Chaplygin gas pressure law, the structures of solution are R+J and S+J.
Secondly, we discuss the limits of Riemann solutions for the modified Chaplygin gas pressure law as the pressure law tends to the generalized Chaplygin gas one.
In particular, for some cases, the solution S+J tends to a delta shock wave, and it is different from the delta shock wave for the generalized Chaplygin gas pressure law with the same initial data.
Thirdly, we simulate the Riemann solutions and examine the formation process of delta shock wave by employing the Nessyahu-Tadmor scheme.
The numerical results are coincident with the theoretical analysis.
American Psychological Association (APA)
Cheng, Hongjun& Yang, Hanchun. 2013. On a Nonsymmetric Keyfitz-Kranzer System of Conservation Laws with Generalized and Modified Chaplygin Gas Pressure Law. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-452959
Modern Language Association (MLA)
Cheng, Hongjun& Yang, Hanchun. On a Nonsymmetric Keyfitz-Kranzer System of Conservation Laws with Generalized and Modified Chaplygin Gas Pressure Law. Advances in Mathematical Physics No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-452959
American Medical Association (AMA)
Cheng, Hongjun& Yang, Hanchun. On a Nonsymmetric Keyfitz-Kranzer System of Conservation Laws with Generalized and Modified Chaplygin Gas Pressure Law. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-452959
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452959