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Distributed control of a heat conducting, time-dependent, Navier-Stokes fluid

Published online by Cambridge University Press:  25 July 2002

Ruxandra Stavre
Ruxandra Stavre
Affiliation:
Institute of Mathematics, Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romania e-mail: [email protected]
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Abstract

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The purpose of this paper is to study an optimal control problem associated with the thermally coupled Navier-Stokes equations. An existence result for this problem is obtained. The most important result of this paper is the proof of the existence and regularity of a solution of the adjoint system. By defining several functions, this system (which is not a divergence free one) is replaced by a divergence free system.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 2 , May 2002 , pp. 191 - 200
Copyright
2002 Glasgow Mathematical Journal Trust