2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130208We establish the local in time well-posedness of strong solutions to the vacuum free boundary problem of the compressible Navier-Stokes-Poisson system in the spherically symmetric and isentropic motion. Our result captures the physical vacuum boundary behavior of the Lane-Emden star configurations for all adiabatic exponents $γ>{6/5}$.49 pagesAnalysis of PDEsMathematical Physics35Q30; 76N10; 76N15Local Well-Posedness of Dynamics of Viscous Gaseous Starstext