Instability theory of the Navier-Stokes-Poisson equations

Details Instability theory of the Navier-Stokes-Poisson equations Instability theory of the Navier-Stokes-Poisson equations

2011-05-25

arxiv.org/abs/1105.5128v2

Mathematics

Analysis of PDEs

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

Scientific paper

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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