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Optimal control of the two-dimensional stationary navier-stokes equations with measure valued controls

SIAM Journal on Control and Optimization, ISSN: 0363-0129, Vol: 57, Issue: 2, Page: 1328-1354
2019
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Article Description

In this paper, we consider an optimal control problem for the two-dimensional stationary Navier-Stokes system. Looking for sparsity, we take Borel measures as controls. We prove the well-posedness of the control problem and derive necessary and sufficient conditions for local optimality of the controls. Finally, under a second order condition, we prove rates of the optimal states with respect to small perturbations in the data of the control problem.

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