The nonlinear instability of a gravitating disk

Details The nonlinear instability of a gravitating disk The nonlinear instability of a gravitating disk

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981azh....58..244m&link_type=abstract

Astronomicheskii Zhurnal, vol. 58, Mar.-Apr. 1981, p. 244-246. In Russian.

Physics

10

Astronomical Models, Dynamic Stability, Gravitation Theory, Nonlinear Equations, Rotating Fluids, Field Theory (Physics), Fourier Analysis, Harmonic Excitation, Perturbation Theory, Rotating Disks

Scientific paper

Numerical expressions are derived for the nonlinear evolution of a gravitating gaseous disk. Perturbations up to the fifth order are evaluated. Based on the work of Mikhailovskii et al. (1979), both the isothermal case and the case of a monoatomic gas are examined. For the isothermal case it is found that the instability predicted by Mikhailovskii stabilizes at a finite perturbation amplitude. Within the framework of a model for a light gaseous disk embedded in a massive stellar disk, Mikhailovskii's results are confirmed. It is possible that the power series of the perturbation amplitude is asymptotic.

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