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| Non-selfsimilar Global Solutions and Their Structure for the Multi-dimensional Combustion Models |
| Kai HU, Gao-wei CAO, Xiao-zhou YANG |
| Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China |
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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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Received: 16 December 2011
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| Fund:Supported by the National Natural Science Foundation of China (No. 10871199 and 11071246). |
| About author:: 35Lxx |
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| [1] |
Gao-wei CAO, Kai HU, Xiao-zhou YANG. Envelope and Classification of Global Structures of Solutions for a Class of Two-dimensional Conservation Laws[J]. Acta Mathematicae Applicatae Sinica, English Serie, 2016, 32(3): 579-590. |
| [2] |
Kai HU, Gao-wei CAO, Xiao-zhou YANG. Riemann Problems for Three-dimensional Combustion Models[J]. Acta Mathematicae Applicatae Sinica, English Serie, 2014, 30(2): 321-346. |
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2017, Vol. 33 
