Author(s)

Yujin Liu

School of Mathematics and Statistics, Shandong University of Technology, Zibo, China.

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.

Riemann Problem, Chaplygin Gas, Detonation Wave, Deflagration Wave

Liu, Y. (2021) Wave Interactions for Chaplygin Gas with Combustion. Journal of Applied Mathematics and Physics, 9, 683-693. doi: 10.4236/jamp.2021.94049.