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The Riemann problem for scalar CJ-combustion model without convexity

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  • The Riemann problem for scalar Chapman-Jouguet combustion model is considered. The entropy conditions are extended from convex case to nonconvex one. The existence and uniqueness of the corresponding entropy solutions are obtained constructively.The solutions consist of the generalized Chapman-Jouguet detonation and deflagration waves and strong detonation waves as well as noncombustion waves.
    Mathematics Subject Classification: 35L65, 76N15.


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