Stability of collapsing isothermal spheres

Details Stability of collapsing isothermal spheres Stability of collapsing isothermal spheres

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...335..295s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 335, Dec. 1, 1988, p. 295-300. Research supported by the University of Cali

Statistics

Computation

11

Computational Astrophysics, Gravitational Collapse, Hydrodynamics, Stability, Star Formation, Eigenvectors, Elastic Waves, Mach Number, Perturbation Theory, Stellar Mass Accretion

Scientific paper

The stability of collapsing isothermal spheres to radial perturbations is studied under the assumption of self-similar flow. A linear perturbation equation for the growth of density contrast is derived in the similarity coordinate, and eigenfunctions are obtained in the asymptotic regimes of the Larson-Penston and the expansion wave solutions. In either solution, fragmentation occurs only very slowly and is almost negligible within an intial free-fall time.

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