A phase field approach for shape optimization in fluids

Duration: 24 mins 13 secs

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Description:	Hecht, C (Universität Regensburg) Thursday 26 June 2014, 11:30-12:00


Created:	2014-07-11 13:55
Collection:	Free Boundary Problems and Related Topics
Publisher:	Isaac Newton Institute
Copyright:	Hecht, C
Language:	eng (English)


Abstract:	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.

Abstract:

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.

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