Summary
A nonlinear stability analysis of a uniformly rotating gas in a gravitational field has been performed. One dimensional non-linear equations have been solved by the double-Lagrangian transformation method. An explosive instability is shown to exist in contrast to the linear Jeans instability wherein a uniform rotation of the gas quenches the instability.
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Chakrabarti, N., Pal, B., Krishan, V. (2009). Nonlinear Jeans Instability in an Uniformly Rotating Gas. In: Hasan, S.S., Gangadhara, R.T., Krishan, V. (eds) Turbulence, Dynamos, Accretion Disks, Pulsars and Collective Plasma Processes. Astrophysics and Space Science Proceedings. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8868-1_19
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DOI: https://doi.org/10.1007/978-1-4020-8868-1_19
Publisher Name: Springer, Dordrecht
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Online ISBN: 978-1-4020-8868-1
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