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Construction of the Global Solutions to the Perturbed Riemann Problem for the Leroux System
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The global solutions of the perturbed Riemann problem for the Leroux system are constructed explicitly under the suitable assumptions when the initial data are taken to be three piecewise constant states.
The wave interaction problems are widely investigated during the process of constructing global solutions with the help of the geometrical structures of the shock and rarefaction curves in the phase plane.
In addition, it is shown that the Riemann solutions are stable with respect to the specific small perturbations of the Riemann initial data.
American Psychological Association (APA)
Ji, Pengpeng& Shen, Chun. 2016. Construction of the Global Solutions to the Perturbed Riemann Problem for the Leroux System. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1095839
Modern Language Association (MLA)
Ji, Pengpeng& Shen, Chun. Construction of the Global Solutions to the Perturbed Riemann Problem for the Leroux System. Advances in Mathematical Physics No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1095839
American Medical Association (AMA)
Ji, Pengpeng& Shen, Chun. Construction of the Global Solutions to the Perturbed Riemann Problem for the Leroux System. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1095839
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095839