Author(s)

Yujin Liu^*, Wenhua Sun

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

We investigate the elementary wave interactions for the simplified combustion model in magnetogasdynamics. Under the modified entropy conditions, we construct the unique solution and observe some interesting phenomena; such as, the combustion wave may be extinguished by the contact discontinuity or the shock wave. Especially, the transition between the detonation wave and the deflagration wave is also captured.

Riemann Problem, Wave Interaction, Hyperbolic Conservation Laws, Combustion, Magnetogasdynamics

Liu, Y. and Sun, W. (2019) Elementary Wave Interactions for the Simplified Combustion Model in Magnetogasdynamics. Journal of Applied Mathematics and Physics, 7, 983-1000. doi: 10.4236/jamp.2019.74066.