2 papers
math.OC2026
Long-time behavior of solutions to a fluid dynamic shape optimization problem via phase-field method
Michael Hinze, Christian Kahle, John Sebastian H. Simon
We investigate the long time behavior of solutions to a shape and topology optimization problem with respect to the time-dependent Navier--Stokes equations. The sought topology is…
math.OC2024
Analysis of Unregularized Optimal Control Problems Constrained by the Boussinesq System
Nicolai Jork, John Sebastian H. Simon
This paper investigates solution stability properties of unregularized tracking-type optimal control problems constrained by the Boussinesq system. In our model, the controls may a…