Restoring the Navier--Stokes dynamics by determining functionals depending on pressure

For 2D Navier–Stokes equations in a bounded smooth domain, we construct a system of determining functionals which consists of $N$ linear continuous functionals which depend on pressure $p$ only and of one extra functional which is given by the value of vorticity at a fixed point $x_0\in \mathrm{\partial }\mathrm{\Omega }$.