Wave Interactions for Chaplygin Gas with Combustion  

作　　者：Yujin Liu Yujin Liu(School of Mathematics and Statistics, Shandong University of Technology, Zibo, China)

机构地区：[1]School of Mathematics and Statistics, Shandong University of Technology, Zibo, China

出　　处：《Journal of Applied Mathematics and Physics》2021年第4期683-693,共11页应用数学与应用物理（英文）

摘　　要：The elementary wave interactions for the Chapman-Jouguet model with combustion are investigated. We obtain the unique solution of the initial value problem under the global entropy conditions. We analyze the elementary wave interactions in the phase plane and construct uniquely the solution of this initial value problem. It is found that the combustion wave solution of the corresponding Riemann may be extinguished after perturbation which shows that the unburnt gas is unstable.The elementary wave interactions for the Chapman-Jouguet model with combustion are investigated. We obtain the unique solution of the initial value problem under the global entropy conditions. We analyze the elementary wave interactions in the phase plane and construct uniquely the solution of this initial value problem. It is found that the combustion wave solution of the corresponding Riemann may be extinguished after perturbation which shows that the unburnt gas is unstable.

关 键 词：Riemann Problem Chaplygin Gas Detonation Wave Deflagration Wave 

分 类 号：O17[理学—数学]