Author(s) :
Daniel Wachsmuth
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 03-2004
MSC 2000
- 49N60 Regularity of solutions
-
49K40 Sensitivity, stability, well-posedness
Abstract :
The regularity and stability of optimal controls
of instationary Navier-Stokes equations is investigated. Under suitable
assumptions every control satisfying first-order necessary conditions is
shown to be a continuous function in both space and time. Moreover, the behaviour
of a locally optimal control under certain perturbations of the cost functional and the
state equation is investigated. Lipschitz
stability is proven provided a second-order sufficient optimality condition
holds.
Keywords :
Optimal control, Navier-Stokes equations, control constraints, Lipschitz stability