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Second-order Optimality Conditions for Optimal Control Problems of 3D Navier-Stokes-Voigt Equations with Mixed Pointwise Constraints
Nguoi bao cao: Nguyen Hai Son

Time: 9h00, Tuesday, October 17, 2017
Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract:  In this talk, we consider an optimal control problem with pointwise mixed constraints of the instationary three-dimensional Navier-Stokes-Voigt equations. We derive second-order optimality conditions and show that there is no gap between second-order necessary optimality conditions and second-order sufficient optimality conditions. In addition, the second-order sufficient optimality conditions for the problem where the objective function does not depend on control variables, are also discussed.

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