This article is cited in 1 paper

Inverse problem of hydrodynamics for doubly connected domain

E. V. Semenko

Novosibirsk State Pedagogical Uiversity, 28 Vilyuiskaya str., Novosibirsk, 630126 Russia

Abstract: We consider an inverse problem of hydrodynamics for flow past pair of aerofoils. We find a general form of its solution. The key part of problem's solving is to determine numerical parameters defining flow domain and complex velocity in it up to conformal mapping (the parameters problem). The solvability of parameters problem is proved for various flow schemes. For that we essentially use the interpretation of the problem in terms of Riemann surface and the Riemann surfaces theory.

Keywords: inverse problem of hydrodynamics, streamline, flow scheme, Riemann surface, torus.

UDC: 517.95

Received: 02.10.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:5, 35–50

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