Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...277..550b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 277, Feb. 15, 1984, p. 550-555.
Astronomy and Astrophysics
Astrophysics
11
Detonation Waves, Disk Galaxies, Shock Wave Propagation, Stellar Evolution, Time Dependence, Wave Fronts, Dynamic Stability, Galactic Structure, Nonlinear Equations, Rotating Disks, Wave Equations
Scientific paper
A new analytic approach is applied to the problem of star formation fronts in differentially rotating disks recently studied by Cowie and Rybicki. A quasi-linear equation for the inclination angle of the front is derived, and its characteristic equations are solved. The stability of these fronts found numerically in the previous study is revealed to be a direct consequence of the structure of the front characteristics. The time-dependent solutions found here are potentially useful in describing the evolution of local wave fronts shearing in a galactic velocity field, as observed in spirals lacking "grand-design" structure.
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