The perturbed Riemann problem for special Keyfitz-Kranzer system with three piecewise constant states (Q1798391)
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scientific article; zbMATH DE number 6962613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The perturbed Riemann problem for special Keyfitz-Kranzer system with three piecewise constant states |
scientific article; zbMATH DE number 6962613 |
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The perturbed Riemann problem for special Keyfitz-Kranzer system with three piecewise constant states (English)
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23 October 2018
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Summary: 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.
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seven different Riemann solutions
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small perturbations of Riemann initial data
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0.8891646
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