Non‐self‐similar solutions containing delta shock waves for nonhomogeneous zero‐pressure gas dynamics with energy conservation law by the viscosity method

This article considers the zero‐pressure gas dynamics governed by the conservation laws of mass, momentum, and energy with time‐dependent source terms. By adopting the vanishing viscosity method, we propose a viscous system to prove the stability of non‐self‐similar Riemann solutions including the delta shock wave and vacuum.