Establishes well-posedness of an optimal control problem for instationary Navier-Stokes with pressure boundary control by means of a suitable tracking term and derives new L2(I;H2) regularity for the associated Stokes problem with mixed boundary conditions.
R OSSMANN , Mixed boundary value problems for Stokes and Navier-Stokes systems in polyhedral domains , in Analysis, Partial Differential Equations and Applications, A
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Optimal Control of the Navier-Stokes equations via Pressure Boundary Conditions
Establishes well-posedness of an optimal control problem for instationary Navier-Stokes with pressure boundary control by means of a suitable tracking term and derives new L2(I;H2) regularity for the associated Stokes problem with mixed boundary conditions.