Abstract
In this paper the optimal control problem for the thermally coupled incompressible Navier-Stokes equations by the Dirichelet boundary temperature control is discussed. Well-posedness and existence of the optimal control for the finite-time horizon problem and optimal control problem for the stationary equations are established. Necessary optimality conditions are also obtained.
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© 1994 Springer Basel AG
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Ito, K. (1994). Boundary Temperature Control for Thermally Coupled Navier-Stokes Equations. In: Desch, W., Kappel, F., Kunisch, K. (eds) Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena. ISNM International Series of Numerical Mathematics, vol 118. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8530-0_12
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DOI: https://doi.org/10.1007/978-3-0348-8530-0_12
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9666-5
Online ISBN: 978-3-0348-8530-0
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