Physics – Fluid Dynamics
Scientific paper
Nov 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987afz....26..511k&link_type=abstract
(Astrofizika, vol. 26, May-June 1987, p. 511-526) Astrophysics (ISSN 0571-7132), vol. 26, no. 3, Nov. 1987, p. 308-318. Translat
Physics
Fluid Dynamics
3
Dirichlet Problem, Equilibrium Equations, Stellar Models, Stellar Motions, Axes Of Rotation, Fluid Dynamics, Riemann Manifold, Three Dimensional Models
Scientific paper
A hydrodynamic method for investigating and constructing homogeneous collisionless models is developed. A theorem related to Riemann's theorem for fluid ellipsoids is proved: in a collisionless ellipsoid the rotation axis and the vorticity axis must either coincide with a symmetry axis of the ellipsoid or lie in one of its principal planes. From the set of conceivable variants of the models, physically sensible ones are selected, the free parameters are determined, and the characteristics of all members of the family are found. The two- and three-dimensional models are considered separately. A methodological simplification is introduced into the problem of constructing collisionless figures. Attention is drawn to the advantages and shortcomings of the method.
Kondrat'ev B. P.
Malkov Ewgenij A.
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