Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...333...68n&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 333, Oct. 1, 1988, p. 68-77.
Astronomy and Astrophysics
Astrophysics
18
Galactic Rotation, Galactic Structure, Spiral Galaxies, Asymptotic Methods, Galactic Evolution, Interstellar Matter
Scientific paper
Nonlinear rigidly rotating spiral wave solutions have been obtained for a reaction-diffusion equation which describes the evolution of interstellar medium on a differentially rotating galactic disk. A rigidly rotating spiral contour is a consequence of balance between winding effect of differential rotation and straightening effect of diffusion propagation. Therefore, differential rotations manifest themselves as tightening or loosening of spiraling patterns according to the direction of rotation. The solutions exist with asymptotic radial wavenumber k limited to a certain range for a specified set of parameters. The effect of changing differential rotation on this permitted range is also examined. Both irregular and regular spiral patterns of interstellar medium can be expected by this reaction-diffusion equation approach.
Ikeuchi Satoru
Nozakura Toshiya
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