Abstract
We consider the inverse boundary value problem of aerohydrodynamics in which it is required to find a form of the airfoil circulated by a potential stream of incompressible non-viscous liquid when the distribution of the velocity value is given as a function of the abscissa of its point at a known (given) velocity of the incoming flow.
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References
Salimov, R.B. “Solving inverse boundary-value problem of aerohydrodynamics in a new statement”, Russian Math. (Iz. VUZ) 61 (9), 85–89 (2017).
Tumashov, G.G., Nuzhin, M.T. Inverse boundary value problems and their applications (Izd. KGU, Kazan, 1965) [in Russian].
Elizarov, A.M., Il’inskiy, N.B., Potashev, A.V. Inverse boundary value problems of aerohydrodynamics (Nauka, Moscow, 1994) [in Russian].
Kiselev, O.M. “Construction of airfoil by the given chord diagram”, Izv. VUZ. Avia. tech. 2, 20–24 (1959).
Galyavieva, M.S. “Construction of airfoils by chord diagram of velocity using quasi-solutions of the inverse boundary problems”, Izv. VUZ. Avia. tech. 4, 56–59 (1990).
Salimov, R.B. “Definition of the form of airfoil by the given chord diagram close to a diagram of the known airfoil”, Uchen. zap. Kazan, univ. 117 (9), 55–59 (1957).
Gakhov, F.D. Boundary value problems (Nauka, Moscow, 1977) [in Russian].
Lavrent’ev, M.A., Shabat, B.V. Methods of theory of functions of complex variable (Nauka, Moscow, 1973) [in Russian].
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Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 1, pp. 94–99.
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Salimov, R.B. New Solution to the Inverse Boundary Value Problem of Aerohydrodynamics. Russ Math. 64, 88–92 (2020). https://doi.org/10.3103/S1066369X20010089
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DOI: https://doi.org/10.3103/S1066369X20010089