Instability theory of the Navier-Stokes-Poisson equations

Published 25 May 2011 in math.AP | (1105.5128v2)

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 $6/5 < \gamma < 4/3$.

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