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The International Conference on Multiphase Systems, ICMS'2000
Ufa, RUSSIA, June 15-17, 2000

On Inverse Boundary-value Problems of Aerohydrodynamics

Il'inskiy N. B.

Chebotarev research institute of mathematics and mechanics of Kazan State University

In the last decade in our country as well as abroad considerable advances have been made in developing and applying numerical-analytical methods for aerodynamic shape design of airfoils, hydrofoils, cascades of turbine motors and interface vehicles. The foundations of the inverse boundary-value problems of aerohydrodynamics (IBVPA) were laid in the late thirties -- early fifties by A.~Betz, W.~Mangler, G.G.~Tumashev, M.~Lighthill, L.A.~ Simonov, G.Yu.~ Stepanov, R.~Eppler, V.M.~Shurigin, R.B.~Salimov et al. For the last years a contribution to these investigations has been made by a group of researchers from Chebotarev institute of mathematics and mechanics of Kazan state university. The achievements of the group are based on the strict mathematical theory of inverse boundary-value problems (IBVP) for analytic functions that was developed by M.T.~Nuzhin, F.D.~Gakhov, S.N.~Andrianov, L.A.~Aksentiev et al.