数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (3): 282-292.

• 论文 • 上一篇    下一篇

THE WEAK DETONATION SOLUTIONS TO THE SIMPLEST COMBUSTION MODEL

谭得春, 张同   

  1. Inst. of Math., Academia Sinica, Beijing 100080, China
  • 收稿日期:1990-04-01 出版日期:1993-09-25 发布日期:1993-09-25

THE WEAK DETONATION SOLUTIONS TO THE SIMPLEST COMBUSTION MODEL

Tan Dechun, Zhang Tong   

  1. Inst. of Math., Academia Sinica, Beijing 100080, China
  • Received:1990-04-01 Online:1993-09-25 Published:1993-09-25

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摘要： In the present paper the authors prove that all the generalized entropy solutions of the CJmodel, which for the given Riemann initial data are a oneparameter family uη characterised by weak detonation discontinuity point η, are just the limits of the admissible solutions uek of the selfsimilar combustion model. In fact, the authors prove that for any possible η, there exists a constant B>0 s.t.
uη=limεk-e,e→0+,k→+m uεk

Abstract: In the present paper the authors prove that all the generalized entropy solutions of the CJmodel, which for the given Riemann initial data are a oneparameter family uη characterised by weak detonation discontinuity point η, are just the limits of the admissible solutions uek of the selfsimilar combustion model. In fact, the authors prove that for any possible η, there exists a constant B>0 s.t.
uη=limεk-e,e→0+,k→+m uεk

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