Other
Scientific paper
Jun 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...230..839b&link_type=abstract
Astrophysical Journal, Part 1, vol. 230, June 15, 1979, p. 839-846.
Other
20
Dynamic Stability, Gravitational Collapse, Hydrodynamics, Perturbation Theory, Stellar Evolution, Bessel Functions, Density Distribution, Euler-Lagrange Equation, Isothermal Processes, Jeans Theory, Nonequilibrium Conditions, Radial Velocity, Velocity Distribution
Scientific paper
Using numerical hydrodynamic techniques, we have analyzed the radial instabilities of the nonhomologous collapse of isothermal spheres. The linear stability analysis shows that modes with shorter and shorter lengths become unstable as the collapse proceeds, as expected from a simple application of the Jeans criterion. The nonlinear analysis shows that the large-scale structure of the cloud is affected by initial perturbations in less than the free-fall time. We take these results to imply that, given the practical impossibility of knowing the initial spectrum of perturbations, no theoretical calculation can predict the complete evolution of a collapsing cloud.
Buff James
Gerola Humberto
Stellingwerf Robert F.
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