Geodesic
Solution of one overdetermined stationary Stokes-type system in the half-space
Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 4, pp. 54-63

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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, overdetermined system, Poisson equation, inhomogeneous problem, classical solution.
Mots-clés : incompressible fluid, Fourier transform 
@article{SJIM_2021_24_4_a3,
     author = {Kh. Kh. Imomnazarov and Sh. Kh. Imomnazarov and M. V. Urev and R. Kh. Baxromov},
     title = {Solution of one overdetermined stationary {Stokes-type} system in the half-space},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {54--63},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2021_24_4_a3/}
}
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Kh. Kh. Imomnazarov; Sh. Kh. Imomnazarov; M. V. Urev; R. Kh. Baxromov. Solution of one overdetermined stationary Stokes-type system in the half-space. Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 4, pp. 54-63. http://geodesic.mathdoc.fr/item/SJIM_2021_24_4_a3/