Journal
NONLINEARITY
Volume 30, Issue 3, Pages 1006-1033Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6544/aa5743
Keywords
transonic flows; stellar wind; canard; geometric singular perturbation theory; viscous gas flow
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Funding
- National Science Foundation [DMS-1148284, DMS-1317596]
- Australian Research Council Future Fellowship [FT120100309]
- Australian Research Council [FT120100309] Funding Source: Australian Research Council
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Parker's classical stellar wind solution [20] describing steady spherically symmetric outflow from the surface of a star is revisited. Viscous dissipation is retained. The resulting system of equations has slow-fast structure and is amenable to analysis using geometric singular perturbation theory. This technique leads to a reinterpretation of the sonic point as a folded saddle and the identification of shock solutions as canard trajectories in space [22]. The results shed light on the location of the shock and its sensitivity to the system parameters. The related spherically symmetric stellar accretion solution of Bondi [4] is described by the same theory.
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