Multiple viscous wave fan profiles for Riemann solutions of hyperbolic systems of conservation laws (Q1884487)
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scientific article; zbMATH DE number 2113140
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple viscous wave fan profiles for Riemann solutions of hyperbolic systems of conservation laws |
scientific article; zbMATH DE number 2113140 |
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Multiple viscous wave fan profiles for Riemann solutions of hyperbolic systems of conservation laws (English)
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1 November 2004
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The author considers a strictly hyperbolic system of conservation laws in one space dimension and studies the viscous wave fan admissibility criteria of Riemann solutions. In particular, the cases of structurally unstable Riemann solutions are investigated. Based on results of bifurcation theory for dynamical systems the author proves that such solutions admit viscous wave fun profiles.
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one space dimension
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Riemann problem
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structural stability
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singular perturbations
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