The collapse of interstellar gas clouds. V - On the stability of non-uniform collapse

Details The collapse of interstellar gas clouds. V - On the stability of non-uniform collapse The collapse of interstellar gas clouds. V - On the stability of non-uniform collapse

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980mnras.192..917m&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 192, Sept. 1980, p. 917-930.

Other

2

Flow Stability, Free Fall, Gravitational Collapse, Interstellar Gas, Nonuniform Plasmas, Plasma Clouds, Amplification, Collapse, Density Distribution, Fragmentation, Isothermal Flow, Vorticity Equations

Scientific paper

The stability of spherically symmetric free-fall collapse to small radial perturbations is examined for non-uniform clouds. It is concluded that fragmentation of the central region of a collapsing gas cloud is possible if: (1) the density distribution is sufficiently smooth; and (2) the collapse is nearly free fall. Generally, perturbations enjoy only finite amplification during the collapse, and the amplification tends to decrease with increasing distance from the centre of the cloud. Unlimited amplification occurs only for uniform density clouds. Fragmentation is therefore unlikely to result from dynamical instability in the outer parts of a non-uniform cloud. Isothermal clouds are also briefly considered and, while it is argued that an earlier suggestion of their instability to fragmentation is unfounded, no general conclusion on the instability of such clouds could be drawn.

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