Second‐order sufficient optimality conditions for the optimal control of instationary Navier‐Stokes equations | Zendy

Tröltzsch Fredi | Zendy; Wachsmuth Daniel | Zendy

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Second‐order sufficient optimality conditions for the optimal control of instationary Navier‐Stokes equations

Author(s) -

Tröltzsch Fredi,

Wachsmuth Daniel

Publication year - 2004

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200410295

Subject(s) - order (exchange) , subspace topology , function (biology) , mathematics , optimal control , navier–stokes equations , control (management) , mathematical optimization , control theory (sociology) , mathematical analysis , computer science , physics , compressibility , economics , artificial intelligence , finance , evolutionary biology , biology , thermodynamics

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 L s ‐neighborhood, whereby the underlying analysis allows to use weaker norms than L ∞ . (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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