To the resonance decay of the density waves in spiral galaxies
Abstract
Interaction of the spiral wave with the inner Lindblad resonance of the galactic disc is considered. The linear theory gives the wave decay due to a mechanism supposedly analogous to the Landau damping and related to a certain bypass rule near the resonance. A similar problem arises in hydrodynamics in the solution of the Rayleigh equation, where the inclusion of a low viscosity leads to the same bypass rule and wave decay. However in the presence of the weak nonlinearity, the hydrodynamic wave could not decay but be completely reflected from the resonance. In this paper we investigate the modification of the pole bypass rule corresponding to the dominant weak nonlinearity in hydrodynamics, and show that the stellar wave does not reflect completely from the resonance.
- Publication:
-
Stars and Satellites, Proceedings of the Memorial Conference Devoted to A.G. Masevich 100th Anniversary
- Pub Date:
- August 2018
- DOI:
- 10.26087/INASAN.2018.2.2.039
- Bibcode:
- 2018sas..conf..246P