Structural stability of non-isentropic Euler-Poisson system for gaseous stars

This paper concerns the non-isentropic steady compressible Euler-Poisson system in annuluses, which models the motion of gaseous stars with the gravitational interactions between gas particles and pressure forces. In the paper, the Euler-Poisson system is reformulated and decomposed into transport equations and coupled second-order nonlinear elliptic equations in polar coordinates. Not only the existence and the uniqueness, but also the structural stability of subsonic solutions are established. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.