The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term
The authors focus on the vanishing pressure limits of non-self-similar Riemann solutions to the 1D inhomogeneous generalized Chaplygin gas equations with nonlinear characteristic field. The Riemann solution converges to that of the pressureless gas dynamics model. Depending on the initial conditions, either two shock solutions converge to a delta-shock solution of the same system that then converges to a delta-shock solution of a limit system; or two rarefaction wave solutions converge to two contact discontinuities separated by a vacuum state; or the limit is just a contact discontinuity.
scientific article; zbMATH DE number 6756227