Stability of Riemann Solutions for an Inhomogeneous Keyfitz-Kranzer System with Chaplygin Gas Pressure

Abstract

The structural stability of Riemann solutions for a kind of Keyfitz-Kranzer (K-K) system with Chaplygin gas pressure and time-dependent source term is studied by the method of perturbation of initial value. It is rigorously proved that, as the perturbed parameter \(\varepsilon \) tends to zero, no mass concentration will happen even the initial perturbed density depends on \(\varepsilon \), which implies that the Riemann solutions of the K-K system are stable under the local small perturbation of the initial data.