Spherically Symmetric Solutions of the Full Compressible Euler Equations in $$R^N$$RN

摘要: This paper focuses on the multidimensional spherically symmetric full compressible Euler equations and constructs rigorously a family of global self-similar bounded weak solutions for all positive time to its initial value problem with constant data. The main approach is reduce an autonomous system ordinary differential under assumptions. We establish detailed structures as well their existence by analyzing carefully properties integral curves ODE system.