The propagation and stability of time-dependent galactodetonation waves

Astronomy and Astrophysics – Astrophysics

Scientific paper

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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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