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

Garcke, Harald ; Hecht, Claudia



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 derived. ...

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