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Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow

URN to cite this document:
urn:nbn:de:bvb:355-epub-339562
Garcke, Harald ; Hecht, Claudia
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Date of publication of this fulltext: 27 Jun 2016 09:59


Abstract

We apply a phase field approach for a general shape optimization problem of a stationary Navier-Stokes flow. To be precise we add a multiple of the Ginzburg{Landau energy as a regularization to the objective functional and relax the non-permeability of the medium outside the fluid region. The resulting diffuse interface problem can be shown to be well-posed and optimality conditions are ...

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