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

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Abstract

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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Funding

The authors were supported by the Russian Foundation for Basic Research and the French National Centre for Scientific Research (project no. 21–51–15002).

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Correspondence to Kh. Kh. Imomnazarov, Sh. Kh. Imomnazarov, M. V. Urev or R. Kh. Bakhromov.

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Imomnazarov, K.K., Imomnazarov, S.K., Urev, M.V. et al. Solution of an Overdetermined Stationary Stokes-Type System in Half-Space. J. Appl. Ind. Math. 15, 609–615 (2021). https://doi.org/10.1134/S1990478921040049

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