The solution of one overdetermined stationary system arising in an incompressible two-fluid medium in a half-space

We have considered the classical solution in the half-space of the second boundary value problem for an overdetermined stationary system of second order equations arising in a two-fluid medium with phase equilibrium in pressure. The solution is constructed using the Fourier transform apparatus. The effect of the kinetic parameters of the medium on the solution of the system has been shown.