Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978acasn..19..173y&link_type=abstract
Acta Astronomica Sinica, vol. 19, Dec. 1978, p. 173-181. In Chinese, with abstract in English.
Astronomy and Astrophysics
Astronomy
Cosmology, Dynamic Stability, Gravitational Effects, Gravity Waves, Wave Propagation, Astrodynamics, Gravitational Collapse, Shear Flow, Wave Dispersion
Scientific paper
The propagation and evolution of linear waves in a self-gravitating medium are discussed from a general viewpoint. The well-known Jeans formula is obtained, and in a special case of unstable waves in a self-gravitating medium it is shown that the equiphase surface is 'frozen' in the moving medium. When the motion of the basic state is a shear flow, this property means that the unstable waves would evolve automatically into the quasi-stationary stage. Thus, in a self-gravitating medium there is a special mechanism within the framework of linear theory to suppress the infinite growth of unstable waves.
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