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Section 20
Second-order sufficient optimality conditions for the optimal control of instationary Navier-Stokes equations
Article first published online: 22 DEC 2004
DOI: 10.1002/pamm.200410295
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
1617-7061/asset/cover.gif?v=1&s=79b6ccfe3470758033c99b476335ce58b5a38819 "PAMM")
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How to Cite
Tröltzsch, F. and Wachsmuth, D. (2004), Second-order sufficient optimality conditions for the optimal control of instationary Navier-Stokes equations. Proc. Appl. Math. Mech., 4: 628–629. doi: 10.1002/pamm.200410295
Publication History
- Issue published online: 22 DEC 2004
- Article first published online: 22 DEC 2004
- Abstract
- References
- Cited By
Abstract
In this article sufficient optimality conditions are established for optimal control of evolutionary 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∞. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)