Computer Science – Sound
Scientific paper
Jun 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...230..325l&link_type=abstract
Astrophysical Journal, Part 1, vol. 230, June 1, 1979, p. 325-329.
Computer Science
Sound
7
Galactic Evolution, Plane Waves, Shock Wave Propagation, Sound Waves, Traveling Waves, Hydrodynamic Equations, Jeans Theory, Nonlinearity
Scientific paper
Exact nonlinear plane periodic traveling acoustic waves with a steady profile are discovered for a Newtonian self-gravitating perfect fluid. This demonstrates that self-gravity as a dispersive force can counterbalance hydrodynamic nonlinearity to produce persistent structures. These periodic waves do not admit a solitary-wave limit. Galactic-scale (mass about 1 trillion solar masses) nonlinear waves can have an amplitude of no more than about 1% only at recombination in a high-density universe, allowing for photon dissipations.
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