On the boundary condition resembling Robin boundary condition

Hi Prof. Vincent Laude,

This is 2D eigenvalue problem.

We write down the weak form of the linearized governing equation (As you said, the first equation is the classical Stokes equation) and try to implement them in FreeFEM. But I fail to obtain eigenvalues because I do not know how to implement the coupling equation marked in blue.

Do you have any suggestions for the implementation of this tangential boundary condition?