A phase field approach for shape optimization in fluids
Seminar Room 1, Newton Institute
AbstractCo-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.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.