Abstract
In the half-plane, we consider a stationary system of the two-velocity hydrodynamics with one pressure and homogeneous divergent and inhomogeneous boundary conditions for two velocities. This system is overdetermined. The solution of this system is reduced to the sequential solution of two boundary value problems: the Stokes problem for one velocity and pressure and the overdetermined system for the other velocity. With an appropriate choice of function spaces, the existence and uniqueness of a generalized solution with an appropriate stability estimate has been proved.
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