Article Contents
Article Contents

Structural stability of solutions to the Riemann problem for a scalar nonconvex CJ combustion model

• The Riemann problem for the simplest scalar nonconvex CJ combustion model is considered. A set of entropy conditions are summarized, including pointwise entropy conditions and global entropy conditions. The later is according to the requirement of the structural stability. The unique self-similar entropy solution of the Riemann problem is constructed case by case. Transition from deflagration to detonation is shown, which dose not occur for the convex model.
Mathematics Subject Classification: 35L45, 35L60, 35L65, 35L67, 58J45, 76L05, 76N10, 80A25.

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