2D Transonic Hydrodynamics in General Relativity

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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.
full version, in "Accretion Disks, Jets, and High Energy Phenomena in Astrophysics", Proceedings of Session LXXVIII of Les Houches Summer School, Chamonix, France, August 2002, F.Menard, G. Pelletier, G.Henri, V. Beskin, and J. Dalibard eds. (EDP Science: Paris and Springer: Berlin), in preparation

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