Structural stability of solutions to the Riemann problem for ascalar nonconvex CJ combustion model (Q841399)
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scientific article; zbMATH DE number 5604188
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structural stability of solutions to the Riemann problem for ascalar nonconvex CJ combustion model |
scientific article; zbMATH DE number 5604188 |
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Structural stability of solutions to the Riemann problem for ascalar nonconvex CJ combustion model (English)
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16 September 2009
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The authors study the simplest Chapman-Jouguet nonconvex combustion model for the Euler equations of ideal combustible gas. They introduce a set of entropy conditions, including pointwise entropy conditions and global entropy conditions, and construct the unique structurally stable self-similar entropy solution of the Riemann problem. Transition from deflagration to detonation is also shown, which does not occur for the convex model.
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Chapman-Jouguet nonconvex combustion model
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self-similar entropy solution
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pointwise and global entropy conditions
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structural stability
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Riemann problem
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transition from deflagration to detonation
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