The Perturbed Riemann Problem for Special Keyfitz-Kranzer System with Three Piecewise Constant States
The Riemann problem for a special Keyfitz-Kranzer system is investigated and then seven different Riemann solutions are constructed. When the initial data are chosen as three piecewise constant states under suitable assumptions, the global solutions to the perturbed Riemann problem are constructed e...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/3276182 |
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| _version_ | 1832554050841739264 |
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| author | Yuhao Jiang Chun Shen |
| author_facet | Yuhao Jiang Chun Shen |
| author_sort | Yuhao Jiang |
| collection | DOAJ |
| description | The Riemann problem for a special Keyfitz-Kranzer system is investigated and then seven different Riemann solutions are constructed. When the initial data are chosen as three piecewise constant states under suitable assumptions, the global solutions to the perturbed Riemann problem are constructed explicitly by studying all occurring wave interactions in detail. Furthermore, the stabilities of solutions are obtained under the specific small perturbations of Riemann initial data. |
| format | Article |
| id | doaj-art-e8dc1c5352694999a40f0cef8f0138c1 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e8dc1c5352694999a40f0cef8f0138c12025-02-03T05:52:39ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/32761823276182The Perturbed Riemann Problem for Special Keyfitz-Kranzer System with Three Piecewise Constant StatesYuhao Jiang0Chun Shen1School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong Province 264025, ChinaSchool of Mathematics and Statistics Science, Ludong University, Yantai, Shandong Province 264025, ChinaThe Riemann problem for a special Keyfitz-Kranzer system is investigated and then seven different Riemann solutions are constructed. When the initial data are chosen as three piecewise constant states under suitable assumptions, the global solutions to the perturbed Riemann problem are constructed explicitly by studying all occurring wave interactions in detail. Furthermore, the stabilities of solutions are obtained under the specific small perturbations of Riemann initial data.http://dx.doi.org/10.1155/2017/3276182 |
| spellingShingle | Yuhao Jiang Chun Shen The Perturbed Riemann Problem for Special Keyfitz-Kranzer System with Three Piecewise Constant States Advances in Mathematical Physics |
| title | The Perturbed Riemann Problem for Special Keyfitz-Kranzer System with Three Piecewise Constant States |
| title_full | The Perturbed Riemann Problem for Special Keyfitz-Kranzer System with Three Piecewise Constant States |
| title_fullStr | The Perturbed Riemann Problem for Special Keyfitz-Kranzer System with Three Piecewise Constant States |
| title_full_unstemmed | The Perturbed Riemann Problem for Special Keyfitz-Kranzer System with Three Piecewise Constant States |
| title_short | The Perturbed Riemann Problem for Special Keyfitz-Kranzer System with Three Piecewise Constant States |
| title_sort | perturbed riemann problem for special keyfitz kranzer system with three piecewise constant states |
| url | http://dx.doi.org/10.1155/2017/3276182 |
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