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

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

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 L s ‐neighborhood, whereby the underlying …