Abstract.
The goal of my lecture is to present the introduction into the hydrodynamical version of the Grad-Shafranov equation. Although not so well-known as the full MHD one, it allows us to clarify the nontrivial structure of the Grad-Shafranov approach as well as to discuss the simplest version of the 3 + 1-split language - the most convenient one for the description of the ideal flows in the vicinity of a rotating black hole.
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Beskin, V. Course 2: 2D Transonic Hydrodynamics in General Relativity. In: Beskin, V., Henri, G., Menard, F., Pelletier, G., Dalibard, J. (eds) Accretion discs, jets and high energy phenomena in astrophysics. Les Houches-École d’Été de Physique Theorique, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39932-2_2
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DOI: https://doi.org/10.1007/978-3-540-39932-2_2
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