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Non-selfsimilar global solutions and their structure for the multi-dimensional combustion models

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Abstract

We investigate the Chapman-Jouguet model in multi-dimensional space, and construct explicitly its non-selfsimilar Riemann solutions. By the method we apply in this paper, general initial discontinuities can be dealt with, even for complex interaction of combustion waves. Furthermore, we analyze the way in which the area of unburnt gas shrinks.

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Authors and Affiliations

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, 430071, China

    Kai Hu, Gao-wei Cao & Xiao-zhou Yang

Authors
  1. Kai Hu
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  2. Gao-wei Cao
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  3. Xiao-zhou Yang
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Corresponding author

Correspondence to Gao-wei Cao.

Additional information

Supported by the National Natural Science Foundation of China (No. 10871199 and 11071246).

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Hu, K., Cao, Gw. & Yang, Xz. Non-selfsimilar global solutions and their structure for the multi-dimensional combustion models. Acta Math. Appl. Sin. Engl. Ser. 33, 659–678 (2017). https://doi.org/10.1007/s10255-017-0689-7

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  • DOI: https://doi.org/10.1007/s10255-017-0689-7

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