Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981acaps...1..112t&link_type=abstract
(Acta Astrophysica Sinica, vol. 1, no. 2, 1981, p. 112-121.) Chinese Astronomy and Astrophysics, vol. 5, Sept. 1981, p. 342-348.
Astronomy and Astrophysics
Astrophysics
Density Wave Model, Galactic Structure, Interstellar Gas, Shock Wave Propagation, Wave Dispersion, Asymptotic Methods, Galactic Evolution, Hydrodynamic Equations, Linearization
Scientific paper
In this paper, the self-consistent density wave theory containing both a gaseous shock and a linear stellar density wave is studied, and a quasi-stable, tightly-wound, two-arm solution is obtained. The solution is convergent if the incomplete, linearized hydrodynamic equations are used, and the solution then gives the same dispersion relation as the local, asymptotic solution, but the density and field profiles will be non-sinusoidal. The stellar wave will be unstable if the complete, linearized hydrodynamic equations are used.
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