Non-selfsimilar Global Solutions and Their Structure for the Multi-dimensional Combustion Models  

作　　者：Kai HU Gao-wei CAO Xiao-zhou YANG 

机构地区：[1]Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan 430071,China

出　　处：《Acta Mathematicae Applicatae Sinica》2017年第3期659-678,共20页应用数学学报（英文版）

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

摘　　要：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.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.

关 键 词：chapman-Jouguet model multi-dimensional Riemann problem non-selfsimilar solutions charac-teristic analysis 

分 类 号：O186.12[理学—数学]