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.
L INDEMULDER , Maximal regularity with weights for parabolic problems with inhomogeneous boundary conditions , Journal of Evolution Equations, 20 (2020), pp
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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.