Kh. Kh. Imomnazarov, Sh. Kh. Imomnazarov, M. V. Urev, R. Kh. Baxromov, “Solution of one overdetermined stationary Stokes-type system in the half-space”, Sib. Zh. Ind. Mat., 2021, Volume 24, Number 4,Pages <nobr>54

This article is cited in 3 papers

Solution of one overdetermined stationary Stokes-type system in the half-space

Kh. Kh. Imomnazarov^a, Sh. Kh. Imomnazarov^ab, M. V. Urev^a, R. Kh. Baxromov^c

^a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentyeva 6, Novosibirsk 630090, Russia
^b Sobolev Institute of Geology and Mineralogy SB RAS, pr. Acad. Koptyuga 3, Novosibirsk 630090, Russia
^c Mirzo Ulugbek National University of Uzbekistan, Vuzgorodok, Tashkent 100174, Uzbekistan

Abstract: We have considered the classical solution in the half-space of the second boundary value problem for the overdetermined stationary system of the Stokes type, arising in a two-fluid medium with one pressure. The solution using the Fourier transform in horizontal variables is obtained. The effect of the kinetic parameters of the medium on the solution of the system has been shown.

Keywords: two-fluid media, incompressible fluid, overdetermined system, Poisson equation, inhomogeneous problem, Fourier transform, classical solution.

UDC: 517.946

Received: 25.02.2021
Revised: 09.08.2021
Accepted: 21.10.2021

DOI: 10.33048/SIBJIM.2021.24.404