Second-order Sufficient Optimality Conditions for the Optimal Control of Navier-stokes Equations
نویسندگان
چکیده
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 L-neighborhood, whereby the underlying analysis allows to use weaker norms than L∞. Mathematics Subject Classification. 49K20, 49K27. Received April 30, 2004. Revised December 13, 2004.
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تاریخ انتشار 2005