Acta mathematica scientia, Series B >
UNIFORM FORMULA FOR THE RIEMANN SOLUTIONS OF A SCALAR COMBUSTION MODEL
Received date: 2015-04-15
Revised date: 2016-01-08
Online published: 2016-10-25
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
Chunlong YANG , Gaowei CAO , Xiaozhou YANG . UNIFORM FORMULA FOR THE RIEMANN SOLUTIONS OF A SCALAR COMBUSTION MODEL[J]. Acta mathematica scientia, Series B, 2016 , 36(5) : 1405 -1418 . DOI: 10.1016/S0252-9602(16)30077-7
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