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State constrained convex Nash equilibrium problems coupled with linear hyperbolic PDEs
Marcelo Bongarti, Michael Hintermüller
We study the existence of equilibria for state constrained, convex generalized Nash equilibrium problems (GNEPs) coupled with hyperbolic partial differential equations (PDEs). Anal…
Constrained Neural Parameterization for Optimization in Function Spaces
Michael Hintermüller, Jianfeng Ning
We propose constrained neural parameterization schemes for several classes of constraints arising in optimization problems in function spaces. This is achieved by constructing smoo…
Structure versus regularity of set-valued maps in convex generalized Nash equilibrium problems in Banach spaces
Marcelo Bongarti, Michael Hintermüller
A generalized Nash equilibrium problem (GNEP) in Banach space consists of optimal control problems with couplings in both the objective functions and, most importantly, in th…
Differentiability properties for boundary control of fluid-structure interactions of linear elasticity with Navier-Stokes equations with mixed-boundary conditions in a channel
Michael Hintermüller, Axel Kröner
In this paper we consider a fluid-structure interaction problem given by the steady Navier Stokes equations coupled with linear elasticity taken from [Lasiecka, Szulc, and Zochoswk…
Simulation and Control of a Nonsmooth Cahn-Hilliard Navier-Stokes System
Carmen Gräßle, Michael Hintermüller, Michael Hinze +1
We are concerned with the simulation and control of a two phase flow model governed by a coupled Cahn-Hilliard Navier-Stokes system involving a nonsmooth energy potential. We estab…