On the Riemann problem for a scalar Zeldovich-von Neumann-Döring combustion model (Q2927857)
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scientific article; zbMATH DE number 6365804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Riemann problem for a scalar Zeldovich-von Neumann-Döring combustion model |
scientific article; zbMATH DE number 6365804 |
Statements
4 November 2014
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Majda's combustion model
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Chapman-Jouguet limits
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entropy solutions
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detonation and deflagration waves
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On the Riemann problem for a scalar Zeldovich-von Neumann-Döring combustion model (English)
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The author considers the Riemann problem for the simplified Majda's combustion Zeldovich-von Neumann-Döring (ZND) model for reacting gases. The question is existence of a Chapman-Jouguet limits of solutions to this problem. Global piecewise smooth entropy solutions are constructed; these solutions include detonation and deflagration waves. Asymptotical behaviour of the deflagration solutions as reaction rate tends to infinity is studied: convergence takes place provided that the ignition function is constant on some segment and zero outside.
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