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A phase field approach to shape optimization in Navier{Stokes
flow with integral state constraints

URN to cite this document:
urn:nbn:de:bvb:355-epub-362454
Garcke, Harald ; Hinze, Michael ; Kahle, Christian ; Lam, Kei Fong
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Date of publication of this fulltext: 17 Oct 2017 06:29


Abstract

We consider the shape optimization of an object in Navier{Stokes flow by employing a combined phase field and porous medium approach, along with additional perimeter regularization. By considering integral control and state constraints, we extend the results of earlier works concerning the existence of optimal shapes and the derivation of first order optimality conditions. The control variable is ...

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