This article is cited in 2 papers

Reduction of a Nonstationary Euler Hydrodynamic Equation to a System of Ordinary Differential Equations in the Plane Problem of Cavitational Flow with Boundary Control

A. S. Demidov

M. V. Lomonosov Moscow State University

Abstract: We consider the plane problem of cavitational nonstationary flow around an obstacle involving control parameters determining the change in both the velocity of the incident flow and the form of the obstacle. We obtain a system of ordinary differential equations whose solution allows us to express the head resistance force as an integral functional in the control parameters.

Keywords: Euler hydrodynamic equation, cavitational flow, cavity, head resistance force, boundary control, Pontryagin optimal control, Helmholtz–Kirchhoff function.

UDC: 517.57

Received: 04.03.2008

DOI: 10.4213/mzm8361

 English version: Mathematical Notes, 2009, 86:1, 41–52

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