# American Institute of Mathematical Sciences

April  1995, 1(2): 195-206. doi: 10.3934/dcds.1995.1.195

## The Riemann problem for scalar CJ-combustion model without convexity

 1 Institute of Mathematics, Academia Sinica, Beijing 100080, China 2 Institute of Mathematics, Academia Sinica, Beijing, 100080, China

Received  October 1994 Published  February 1995

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.
Citation: Peng Zhang, Tong Zhang. The Riemann problem for scalar CJ-combustion model without convexity. Discrete & Continuous Dynamical Systems, 1995, 1 (2) : 195-206. doi: 10.3934/dcds.1995.1.195
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