Sheng, W.C. and Zhang, T. (1999) The Riemann Problem for the Transportation Equations in Gas Dynamics. Memoirs of the American Mathematical Society, 137, 1-77.
https://doi.org/10.1090/memo/0654

has been cited by the following article:

• TITLE: The Generalized Riemann Problem for Chaplygin Gas with Combustion

  AUTHORS: Yujin Liu

  KEYWORDS: Generalized Riemann Problem, Chaplygin Gas, Detonation Wave, Deflagration Wave, Global Entropy Conditions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.11, November 8, 2019

  ABSTRACT: We study the generalized Riemann problem of the Chapman-Jouguet model for an ideal combustible Chaplygin gas. By analyzing the wave curves in the phase plane, we construct uniquely the solution of the generalized Riemann problem under the global entropy conditions. We find that although there is no combustion wave of the corresponding Riemann solution, the combustion wave may occur after perturbation which reveals the instability of the unburnt gas.