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An optimal control problem in exterior hydrodynamics

Published online by Cambridge University Press:  14 November 2011

S. S. Sritharan
S. S. Sritharan
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles, CA 90089-1191, U.S.A
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Synopsis

In this paper we consider the problem of accelerating an obstacle in an incompressible viscous fluid from rest to a given speed in a given time with minimum energy expenditure. An existence theorem for the speed trajectory which corresponds to the absolute minimum is provided. The results are valid for arbitrary Reynolds numbers.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 121 , Issue 1-2 , 1992 , pp. 5 - 32
Copyright
Copyright © Royal Society of Edinburgh 1992

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