Volume 12, Number 1, January 2006
|Page(s)||93 - 119|
|Published online||15 December 2005|
Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
Institut für Mathematik, Technische Universität Berlin, Str. d. 17. Juni 136, 10632 Berlin, Germany; firstname.lastname@example.org; email@example.com
Revised: 13 December 2004
In this paper sufficient optimality conditions are established for optimal control of both steady-state and instationary Navier-Stokes equations. The second-order condition requires coercivity of the Lagrange function on a suitable subspace together with first-order necessary conditions. It ensures local optimality of a reference function in a Ls-neighborhood, whereby the underlying analysis allows to use weaker norms than L∞.
Mathematics Subject Classification: 49K20 / 49K27
Key words: Optimal control / Navier-Stokes equations / control constraints / second-order optimality conditions / first-order necessary conditions.
© EDP Sciences, SMAI, 2006
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