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arxiv: 1105.5128 · v2 · pith:XUMRQORVnew · submitted 2011-05-25 · 🧮 math.AP

Instability theory of the Navier-Stokes-Poisson equations

classification 🧮 math.AP
keywords instabilitylane-emdennavier-stokes-poissonadiabaticarisingastrophysicsconfigurationsdynamical
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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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