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Matematicheskie Zametki, 2009, Volume 86, Issue 1, Pages 37–50
DOI: https://doi.org/10.4213/mzm8361 (Mi mzm8361) 		 
This article is cited in 2 scientific papers (total 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
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DOI: https://doi.org/10.4213/mzm8361
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.
Received: 04.03.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 1, Pages 41–52
DOI: https://doi.org/10.1134/S0001434609070050
Bibliographic databases:
UDC: 517.57
Language: Russian
Citation: A. S. Demidov, “Reduction of a Nonstationary Euler Hydrodynamic Equation to a System of Ordinary Differential Equations in the Plane Problem of Cavitational Flow with Boundary Control”, Mat. Zametki, 86:1 (2009), 37–50; Math. Notes, 86:1 (2009), 41–52
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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