Riemann problem for Chaplygin gas with combustion

Abstract

We study the Riemann problem of the Chapman–Jouguet model for an ideal combustible Chaplygin gas. By analyzing the wave curves in the phase plane, we obtain constructively the unique solution of the Riemann problem under the global entropy conditions.

Keywords:

• Chaplygin gas
• detonation wave
• deflagration wave
• Riemann problem
• global entropy conditions

AMS Subject Classifications:

• 35L40
• 35L45
• 35L65
• 35L67
• 58J45
• 76N10
• 80A25

Notes

Partially supported by the National Natural Science Foundation of China [No. 11326156].