Nonlinear waves in a gravitating gas

Details Nonlinear waves in a gravitating gas Nonlinear waves in a gravitating gas

Apr 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977azh....54..315a&link_type=abstract

Astronomicheskii Zhurnal, vol. 54, Mar.-Apr. 1977, p. 315-322. In Russian.

Astronomy and Astrophysics

Astronomy

3

Acoustic Propagation, Adiabatic Flow, Galactic Evolution, Plane Waves, Gas Dynamics, Gravitational Effects, Hydrodynamic Equations, Poisson Equation, Steady State

Scientific paper

The paper demonstrates that under certain conditions, nonlinear plane acoustic waves may propagate in a self-gravitating inviscid gas without distortion or damping. A steady-state solution to the equations of gasdynamics together with Poisson's equation is obtained which describes subsonic finite-amplitude adiabatic waves in an infinitely long cylinder as well as in a disk of infinite radius. This solution is shown to correspond to steady-state nonlinear periodic waves caused by self-gravitation of the medium. The relevance of the present analysis to theories of galaxy formation is briefly discussed.

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