The Non-selfsimilar Riemann Problem for 2-D Zero-Pressure Flow in Gas Dynamics*

Abstract

The non-selfsimilar Riemann problem for two-dimensional zero-pressure flow in gas dynamics with two constant states separated by a convex curve is considered. By means of the generalized Rankine-Hugoniot relation and the generalized characteristic analysis method, the global solution involving delta shock wave and vacuum is constructed. The explicit solution for a special case is also given.

Keywords

Zero-pressure flow / Non-selfsimilar Riemann problem / Generalized Rankine-Hugoniot relation / Entropy condition / Delta shock / 35L65 / 76N10

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