Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002arep...46...83a&link_type=abstract
Astronomy Reports, Volume 46, Issue 2, February 2002, pp.83-95
Astronomy and Astrophysics
Astronomy
Scientific paper
The role of the stability of differential streams in a self-gravitating medium is studied. A simple model with two two-dimensional streams in a thin layer that interact only gravitationally is considered. Instability can develop if the stream-shear parameters have opposite signs; however this condition is not sufficient, and, for some combinations of parameters, the Jeans instability can disappear due to the drift of the perturbations when shear is introduced. The opposite situation is also possible: the system as a whole can be unstable even if both subsystems are stable. Under certain conditions, perturbations do not grow in time but waves are continuously emitted. Criteria are presented for the instability of the system as the whole, depending on the region where the parameters of the subsystem are localized. Common drawbacks of stability analyses in stellar dynamics are briefly discussed in this context.
Antonov Vadim A.
Baranov A. S.
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