On nonhomogeneous slip boundary conditions for 2D incompressible fluid flows

The paper investigates the issue of existence of solutions to the stationary Navier–Stokes equations in a two-dimensional bounded domain. The system is studied with nonhomogeneous slip boundary conditions admitting flow across the boundary. The main result proves the existence of weak solutions for arbitrary data. An advantage of our approach is that the proof is constructive. Properties of the obtained result allow to study turbulent flows in description of such phenomena as polymers and blood motion.