Wave-wave interactions in a rotating gravitating gas cloud

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gas Dynamics, Gravitational Effects, Magnetohydrodynamic Stability, Nebulae, Rotating Fluids, Wave Interaction, Hydrodynamics, Linear Equations, Perturbation Theory

Scientific paper

Wave-wave interactions in a rotating gravitating gas cloud have been analyzed between the same or different wave modes. It is found that when the interacting waves resonate with the wave frequencies given by the linear theory the amplitude grows aperiodically. The growth of amplitude is fastest when both the wave modes given by the linear theory have identical wave frequencies and wave vectors so that resonance takes place between both these modes and the interacting waves

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