Three-Wave Interaction in a Self-Gravitating Fluid

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Hydrodynamics, Nonlinearity, Bifurcation, And Symmetry Breaking, Physical Properties

Scientific paper

Nonlinear three-wave interaction is investigated in rotating self-gravitating astrophysical fluids. Both direct and inverse cascades are found. The latter should be of importance for the formation of structures in rotating astrophysical objects like protogalaxies and galaxies. Linear gravitational instability is shown to be a process that develops on much longer time scales, compared to the nonlinear wave interaction, and the nonlinear precipitation of energy from the linearly unstable, slowly contracting mode towards smaller spatial and time scales is shown to be possible.

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