Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981rspsa.375..249l&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 375, no. 1761, Mar. 13, 1981, p. 249-26
Astronomy and Astrophysics
Astrophysics
7
Astrophysics, Flow Velocity, Fluid Dynamics, Stellar Evolution, Boundary Value Problems, Free Boundaries, Protostars, Secular Variations, Stellar Models
Scientific paper
The secular evolution of the velocity field and distribution of matter of a model star having an arbitrary amount of angular momentum is examined. A novel feature of the fluid-dynamical formulation is the introduction and systematic use of material functions. These functions both facilitate the treatment of the free boundary of the star and make it possible to use the circulation about certain contours as a priori constants of the motion. No special symmetry assumptions need to be imposed in formulating the equations; this makes it possible to apply them not only in the case of axisymmetric rotating stars, but also in the case of bar-shaped figures that may evolve toward double stars. The classes of model stars covered by the formulation include time-dependent barotropic models, but are also applicable to a significantly wider class of models.
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