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A phase field approach for shape optimization in fluids

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Free Boundary Problems and Related Topics

Co-author: Harald Garcke (University of Regensburg)

We consider the problem of shape optimization with a general objective functional using the Stokes equations as state constraints. By combining a porous medium and a phase field approach we obtain a well-posed problem in a diffuse interface setting. We discuss well-posedness and optimality conditions and relate the phase field problem to a perimeter penalized sharp interface problem.

This talk is part of the Isaac Newton Institute Seminar Series series.

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