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Optimal control of stationary, low Mach number, highly nonisothermal, viscous flows

Published online by Cambridge University Press:  15 August 2002

Max D. Gunzburger  and
O. Yu. Imanuvilov
Max D. Gunzburger
Affiliation:
Department of Mathematics, Iowa State University, Ames IA 50011-2064, U.S.A.; [email protected].
O. Yu. Imanuvilov
Affiliation:
Department of Mathematics, Iowa State University, Ames IA 50011-2064, U.S.A.; [email protected].
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Abstract

An optimal control problem for a model for stationary, low Mach number, highly nonisothermal, viscous flows is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. The existence of solutions of a boundary value problem for the model equations is established as is the existence of solutions of the optimal control problem. Then, a derivation of an optimality system, i.e., a boundary value problem from which the optimal control and state may be determined, is given.

Keywords

Optimal controlcompressible flowsviscous flowslow Mach number flows.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 5 , 2000 , pp. 477 - 500
Copyright
© EDP Sciences, SMAI, 2000

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