Nonlinear self-consistent theory of tightly wound density waves

Details Nonlinear self-consistent theory of tightly wound density waves Nonlinear self-consistent theory of tightly wound density waves

Jul 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979scisn..22..792z&link_type=abstract

Scientia Sinica, vol. 22, July 1979, p. 792-805.

Computer Science

Sound

Density Wave Model, Disk Galaxies, Interstellar Gas, Shock Waves, Spiral Galaxies, Equations Of Motion, Nonlinear Equations, Wave Dispersion

Scientific paper

The stellar disk of a spiral galaxy is modeled as a gas disk. Weakly nonlinear self-consistent solutions for wave profiles of tightly wound spiral density waves are obtained, along with the appropriate dispersion relation. The formation mechanism and existence criterion for tightly wound stellar spiral density waves are considered. It is shown that such spiral density waves can be formed only if the gas/star surface-density ratio is greater than some factor of the sound-velocity ratio.

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