Astronomical School’s Report, 2003, Volume 4, Issue 1, Pages 90–97
UDC 524.7
Non-linear waves in a gravitating gas
Antonov V.A.1, Chernin A.D.2
1Pulkovo Observatory, Russia
2Sternberg Astronomical Institute, Russia
Abstract
Propagation of nonlinear adiabatic waves in a gas is shown to be possible due to self-gravitating of the gas. Hydrodynamic equations together with the Poisson’ equation lead to stationary solutions if the problem considered is not one-dimensional.
Keywords:
References
- Chandrasekhar S. Hydrodynamics and Hydrodynamical Stability, Oxford, Claredon Press, 1961.
- Pakhol’chik A.Zh., Astron. zh, 1962, 39, P. 953.
- Antonov V.A., Nezhinsky E.M., Uch. zap. Leningr. un-ta, 1973, No 363, C. 122.
- Koul Dzh. Metody vozmuscheny v prikladnoy matematike, M.: Mir, 1972.
- Tropp E.A., Magnitnaya gidrodinamika, 1972, No 3, C. 111.
- Zel’dovich Ya.B., Novikov I.D. Stroenie i evolyutsiya Vselennoy, M.: Nauka, 1975.
- Peebles P.J.E., Dicke R., Astrophys. J, 1968, 154, P. 861. https://doi.org/10.1086/149811
- Kaplan S.A., Pikel’ner S.B., Ann. Rev. Astron. Astrophys, 1974, 12, P. 113. https://doi.org/10.1146/annurev.aa.12.090174.000553
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