# Stability and solution of the time-dependent Bondi–Parker flow

@article{Keto2020StabilityAS, title={Stability and solution of the time-dependent Bondi–Parker flow}, author={Eric R. Keto}, journal={Monthly Notices of the Royal Astronomical Society}, year={2020}, volume={493}, pages={2834-2840} }

Bondi (1952) and Parker (1958} derived a steady-state solution for Bernouilli's equation in spherical symmetry around a point mass for two cases, respectively, an inward accretion flow and an outward wind. Left unanswered were the stability of the steady-state solution, the solution itself of time-dependent flows, whether the time-dependent flows would evolve to the steady-state, and under what conditions a transonic flow would develop. In a Hamiltonian description, we find that the steady…

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