The Riemann problem for scalar CJ-combustion model without convexity

Peng Zhang; Tong Zhang

doi:10.3934/dcds.1995.1.195

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1995, Volume 1, Issue 2: 195-206. Doi: 10.3934/dcds.1995.1.195

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The Riemann problem for scalar CJ-combustion model without convexity

Peng Zhang¹ and
Tong Zhang^2,

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

Received: September 30, 1994

Published: March 1995

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Abstract

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.

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Mathematics Subject Classification: 35L65, 76N15.

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