Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (5): 1405-1418.doi: 10.1016/S0252-9602(16)30077-7

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UNIFORM FORMULA FOR THE RIEMANN SOLUTIONS OF A SCALAR COMBUSTION MODEL

Chunlong YANG, Gaowei CAO, Xiaozhou YANG   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • Received:2015-04-15 Revised:2016-01-08 Online:2016-10-25 Published:2016-10-25
  • Contact: Gaowei CAO,gwcao@wipm.ac.cn E-mail:gwcao@wipm.ac.cn

Abstract:

In this paper, we construct a uniform formula for the Riemann solutions of the simplified Chapman-Jouguet model. Firstly, we define a new functional, and then, we obtain that the Riemann solutions can be expressed by the maximum value point of this functional, while Riemann solutions may contain some of strong detonation waves, Chapman-Jouguet detonation waves and contact discontinuities. Finally, Chapman-Jouguet deflagration waves are also discussed.

Key words: Riemann solution, Chapman-Jouguet model

CLC Number: 

  • 35L65
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