Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1006-1033 |
| Number of pages | 28 |
| Journal | Nonlinearity |
| Volume | 30 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jan 25 2017 |
| Externally published | Yes |
Bibliographical note
Funding Information:PC would like to thank Nat Trask for helpful discussions. This work was supported in part by the National Science Foundation under grants DMS-1148284 (PC) and DMS-1317596 (EK), and by the Australian Research Council Future Fellowship grant FT120100309 (MW).
Publisher Copyright:
© 2017 IOP Publishing Ltd & London Mathematical Society.
Keywords
- canard
- geometric singular perturbation theory
- stellar wind
- transonic flows
- viscous gas flow