2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174888We study the 2-dimensional Navier-Stokes-Poisson equations with density-dependent viscosity $θ=1/2$ without pressure of gaseous stars in astrophysics. The analytical solutions with collapsing in radial symmetry, are constructed in this paper.8 pagesAstrophysicsMathematical PhysicsAnalytical Collapsing Solutions to Pressureless Navier-Stokes-Poisson Equations with Density-dependent Viscosity $θ=1/2$ in $R^{2}$text