Abstract
We consider a modified inverse boundary-value problem of aerohydrodynamics, in which it is required to find the shape of a wing profile, streamlined by a potential flow of incompressible inviscid fluid, when the distribution of the velocity potential on one section of the profile is given as a function of abscissa, and on the rest of the profile as a function of the ordinate of the profile point.
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Tumashev, G. G., Nuzhin, M. T. Inverse Boundary-Value Problems and Their Applications (Kazan Univ. Pess, Kazan, 1965) [in Russian].
Elizarov, A. M., Il’inskii, N. B., Potashev, A. V. Mathematical Methods of Airfoil Design. Inverse Boundary-Value Problems of Aerohydrodynamics (Nauka, Moscow, 1994; AkademieVerlag, Berlin, 1997).
Gakhov, F. D. Boundary-Value Problems (Nauka, Moscow, 1977; Dover Publications, New York, 1990).
Salimov, R. B. “Zur Berechnung singulärer Integrale mit einem Hilbertschen Kern”, Izv. Vyssh. Uchebn. Zaved., Mat., No. 12, 93–96 (1970) [in Russian].
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Original Russian Text © R.B. Salimov, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 9, pp. 96–101.
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Salimov, R.B. Solving inverse boundary-value problem of aerohydrodynamics in a new statement. Russ Math. 61, 85–89 (2017). https://doi.org/10.3103/S1066369X17090109
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DOI: https://doi.org/10.3103/S1066369X17090109