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We consider incompressible Navier-Stokes equations in a bounded 2D domain,complete with the so-called dynamic slip boundary conditions. Assuming that thedata are regular, we show that weak solutions are strong. As an application, weprovide an explicit upper bound of the fractal dimension of the globalattractor in terms of the physical parameters. These estimates comply withanalogous results in the case of Dirichlet boundary condition.

Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions