Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980nld...357..157b&link_type=abstract
(International Conference on Nonlinear Dynamics, New York, NY, Dec. 17-21, 1979.) New York Academy of Sciences, Annals, vol. 357
Astronomy and Astrophysics
Astrophysics
Astrophysics, Equations Of Motion, Gas Dynamics, Particle Trajectories, Stellar Evolution, Equilibrium Equations, Gas Explosions, Mach Number, Nonlinear Equations, Stellar Envelopes, Stellar Models, Trajectory Analysis
Scientific paper
The method of maximal nondegenerated compactification is developed and applied to a qualitative investigation of gasdynamic equations for self-similar solutions. It is shown that in the study of a stellar explosion, when the Mach number is one it is sufficient to investigate the dynamics of the trajectories in the neighborhood of a trajectory corresponding to an equilibrium solution. Applications are made for an expanding vacuum within a gas and exploding breakdown of an unsteady equilibrium with no energy release, and for the relativistic breakdown of an equilibrium state. A model is developed which describes explosions in the envelopes of stars possessing massive central nuclei.
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