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Delta Shock Waves for a Linearly Degenerate Hyperbolic System of Conservation Laws of Keyfitz-Kranzer Type
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is devoted to the study of delta shock waves for a hyperbolic system of conservation laws of Keyfitz-Kranzer type with two linearly degenerate characteristics.
The Riemann problem is solved constructively.
The Riemann solutions include exactly two kinds.
One consists of two (or just one) contact discontinuities, while the other contains a delta shock wave.
Under suitable generalized Rankine-Hugoniot relation and entropy condition, the existence and uniqueness of delta shock solution are established.
These analytical results match well the numerical ones.
Finally, two kinds of interactions of elementary waves are discussed.
American Psychological Association (APA)
Cheng, Hongjun. 2013. Delta Shock Waves for a Linearly Degenerate Hyperbolic System of Conservation Laws of Keyfitz-Kranzer Type. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-511406
Modern Language Association (MLA)
Cheng, Hongjun. Delta Shock Waves for a Linearly Degenerate Hyperbolic System of Conservation Laws of Keyfitz-Kranzer Type. Advances in Mathematical Physics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-511406
American Medical Association (AMA)
Cheng, Hongjun. Delta Shock Waves for a Linearly Degenerate Hyperbolic System of Conservation Laws of Keyfitz-Kranzer Type. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-511406
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511406