Self Gravitating Instability of a Compressible Fluid Cylinder

Details Self Gravitating Instability of a Compressible Fluid Cylinder Self Gravitating Instability of a Compressible Fluid Cylinder

2001-09-08

arxiv.org/abs/physics/0109021v1

Physics

Fluid Dynamics

11 Latex pages, no figures; accepted for publication in IL NUOVO CIMENTO B

Scientific paper

The self-gravitating instability of a compressible-inviscid fluid cylinder immersed into a self-gravitating tenuous medium of negligible motion is developed. The stability criterion is derived based on the linear perturbation technique. Some previous reported works are recovered. The effect of different factors on the fluid cylinder instability is discussed. The compressibility has a tendency for a stabilizing the model in particular as the sound speed $a$ is very large in the stable domains $1.0233928\leq x<\infty$ but comparatively small in the unstable domains $0

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