Mathematics – Logic
Scientific paper
May 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981phdt........95a&link_type=abstract
PhD Thesis, PRL, GujUniv, 1981, 138 pages
Mathematics
Logic
Disk Galaxy, Spiral Structure, Density Waves
Scientific paper
The origin and maintenance of spiral structures, one of the most striking morphological properties of many galaxies, has been studied in this thesis. While the version of the density wave theory as proposed by Lin and his coworkers has explained many observational facts, it appears to be incomplete and unsatisfactory on many counts. In order to maintain the spiral density waves against various damping mechanisms it is necessary to find methods which would contribute to the excitation of the density waves in the galactic disks. ....A more complete global theory of spiral patterns as the allowed, eigenfunctions of a self-gravitating disk would require a self-consistent solution as an eigenvalue problem with proper boundary conditions. We have carried out such studies for various disk models with solid body as well as differential rotation. It is found that spiral patters arise naturally in differentially rotating disks.
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