Instability theory of the Navier-Stokes-Poisson equations

Abstract

The stability question of the Lane-Emden stationary gaseous star configurations is an interesting problem arising in astrophysics. We establish both linear and nonlinear dynamical instability results for the Lane-Emden solutions in the framework of the Navier-Stokes-Poisson system with adiabatic exponent $6/5<\gamma <4/3$.

61 pages; v2: typos corrected, revised construction of initial data

References in corpus (1)

• Well-posedness of compressible Euler equations in a physical vacuum