ARTICLES

Riemann Problems for Three-dimensional Combustion Models

  • Kai HU ,
  • Gao-wei CAO ,
  • Xiao-zhou YANG
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  • 1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;
    2. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

Received date: 2013-03-13

  Online published: 2014-04-15

Supported by

Supported by the National Natural Science Foundation of China (No. 11071246, 10871199 and 11201467), Fundamental Research Funds for the Central Universities (XDJK2014C075 and SWU113062).

Abstract

We investigate Chapman-Jouguet models in three-dimensional space by means of generalized characteristic analysis. The interaction of detonation, shock waves and contact discontinuity is discussed intensively in this paper. If contact discontinuity appears, the structure of global solutions becomes complex. We deal with this problem when strength of detonation is small.

Cite this article

Kai HU , Gao-wei CAO , Xiao-zhou YANG . Riemann Problems for Three-dimensional Combustion Models[J]. Acta Mathematicae Applicatae Sinica(English Series), 2014 , 30(2) : 321 -346 . DOI: 10.1007/s10255-014-0295-x

References

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