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Solution of an Overdetermined Stationary Stokes-Type System in Half-Space

Х. Х. ИмомназаровSobolev Institute of Geology and Mineralogy, Novosibirsk, 630090, RussiaШ. Х. ИмомназаровInstitute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, 630090, RussiaM. V. UrevSobolev Institute of Geology and Mineralogy, Novosibirsk, 630090, RussiaR. Kh. BakhromovMirzo Ulugbek National University of Uzbekistan, Tashkent, 100174, Uzbekistan
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Under consideration is the classical solution in the half-space of the second boundary value problem for the overdetermined stationary system of the Stokes type that arises in a two-fluid medium with one pressure. We obtain a solution using the Fourier transform in horizontal variables. We demonstrate the influence of the kinetic parameters of the medium on the solution of the system.

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