Riemann problem for one-dimensional system of conservation laws of mass, momentum and energy in zero-pressure gas dynamics
Riemann problem for one-dimensional system of conservation laws of mass, momentum and energy in zero-pressure gas dynamics
This paper studies the one-dimensional Riemann problem for the system of conservation laws of mass, momentum and energy in zero-pressure gas dynamics.Using the characteristic analysis method, two kinds of solutions are obtained: vacuum and delta-shock solution.Under suitable generalized Rankine-Hugoniot relation and entropy condition, both existence and uniqueness of delta-shock solutions …