Abstract
An optimal control problem, the minimization of drag, is considered for the 2D stationary Navier-Stokes equations. The control is of Neumann kind and acts at a part of the boundary which is contiguous to the rigid boundary where the no-slip condition holds. Further, certain constraints are imposed on the control and the phase variable. We derive an existence theorem as well as the corresponding optimality system
The first author thanks the Alexander von Humboldt Foundation for its support during his stays at the University of Heidelberg in 2006 and 2007.
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To the memory of Alexander Vasil’evich Kazhikhov
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Fursikov, A.V., Rannacher, R. (2009). Optimal Neumann Control for the Two-dimensional Steady-state Navier-Stokes equations. In: Fursikov, A.V., Galdi, G.P., Pukhnachev, V.V. (eds) New Directions in Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0152-8_11
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DOI: https://doi.org/10.1007/978-3-0346-0152-8_11
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