L. A. Aksent'ev, D. V. Maklakov, “An integral comparison theorem for cavitation diagrams”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 9,Pages <nobr>95

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Brief communications

An integral comparison theorem for cavitation diagrams

L. A. Aksent'ev^a, D. V. Maklakov^b

^a Chair of Mathematical Analysis, Kazan (Volga Region) Federal University, Kazan, Russia
^b Chair of Aerohydromecanics, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: In this paper we prove a comparison theorem for a functional whose positiveness is a necessary condition for the solvability of the problem on the construction of a hydrofoil from a given cavitation diagram.

Keywords: comparison theorem, cavitation diagram, hydrofoil, pressure envelope, solvability condition.

UDC: 532.5+517.518

Received: 22.03.2011
Revised: 16.05.2011