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We consider optimal control problems for convection-diffusion equations with a pointwise control or a control localized on a smooth manifold. We prove optimality conditions for the control variable and for the position of the control. We do not suppose that the coefficient of the convection term is regular or bounded, we only suppose that it has the regularity of strong solutions of the Navier–Stokes equations. We consider functionals with an observation on the gradient of the state. To obtain optimality...
We consider optimal control problems for convection-diffusion equations with a pointwise control
or a control localized on a smooth manifold. We prove optimality conditions for the control variable
and for the position of the control. We do not suppose that the coefficient of the convection term
is regular or bounded, we only suppose that it has the regularity of strong solutions of the
Navier–Stokes equations.
We consider functionals with an observation on the gradient of the state.
To obtain...
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