Rings, shells, and arc structures around B[e] supergiants: I. Classical tools of non-linear hydrodynamics
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| Format: | Preprint |
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2024
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| _version_ | 1866910298750844928 |
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| author | Nickeler, Dieter H. Kraus, Michaela |
| author_facet | Nickeler, Dieter H. Kraus, Michaela |
| contents | Structures in circumstellar matter reflect both fast processes and quasi-equilibrium states. A geometrical diversity of emitting circumstellar matter is observed around evolved massive stars, in particular around B[e] supergiants. We recapitulate classical analytical tools of linear and non-linear potential theory, such as Cole-Hopf transformations and Grad-Shafranov theory, and develop them further to explain occurrence of the circumstellar matter structures and their dynamics. We use potential theory to formulate the non-linear hydrodynamical equations and test dilatations of the quasi-equilibrium initial conditions. We find that a wide range of flow patterns can basically be generated and the time scales can switch, based on initial conditions, and lead to eruptive processes, reinforcing that the non-linear fluid environment includes both quasi-stationary structures and fast processes like finite-time singularities. Some constraints and imposed symmetries can lead to Keplerian orbits, while other constraints can deliver quasi-Keplerian ones. The threshold is given by a characteristic density at the stellar surface. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_08416 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rings, shells, and arc structures around B[e] supergiants: I. Classical tools of non-linear hydrodynamics Nickeler, Dieter H. Kraus, Michaela Solar and Stellar Astrophysics Astrophysics of Galaxies Mathematical Physics Fluid Dynamics Space Physics Structures in circumstellar matter reflect both fast processes and quasi-equilibrium states. A geometrical diversity of emitting circumstellar matter is observed around evolved massive stars, in particular around B[e] supergiants. We recapitulate classical analytical tools of linear and non-linear potential theory, such as Cole-Hopf transformations and Grad-Shafranov theory, and develop them further to explain occurrence of the circumstellar matter structures and their dynamics. We use potential theory to formulate the non-linear hydrodynamical equations and test dilatations of the quasi-equilibrium initial conditions. We find that a wide range of flow patterns can basically be generated and the time scales can switch, based on initial conditions, and lead to eruptive processes, reinforcing that the non-linear fluid environment includes both quasi-stationary structures and fast processes like finite-time singularities. Some constraints and imposed symmetries can lead to Keplerian orbits, while other constraints can deliver quasi-Keplerian ones. The threshold is given by a characteristic density at the stellar surface. |
| title | Rings, shells, and arc structures around B[e] supergiants: I. Classical tools of non-linear hydrodynamics |
| topic | Solar and Stellar Astrophysics Astrophysics of Galaxies Mathematical Physics Fluid Dynamics Space Physics |
| url | https://arxiv.org/abs/2401.08416 |