Roubíček, TomašTröltzsch, Fredi2021-12-172021-12-172002-08-312197-8085https://depositonce.tu-berlin.de/handle/11303/15458http://dx.doi.org/10.14279/depositonce-14231An optimal control problem with quadratic cost functional for the steady-state Navier-Stokes equations with no-slip boundary condition is considered. Lipschitz stability of locally optimal controls with respect to certain perturbations of both the cost functional and the equation is proved provided a second-order sufficient optimality condition holds. For a sufficiently small Reynolds number, even global Lipschitz stability of the unique optimal control is shown.en510 Mathematikincompressible viscous fluidsflow controlfirst- and second-order optimality conditionsLipschitz stabilityLipschitz stability of optimal controls for the steady-state Navier-Stokes equationsResearch Paper