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.
Citation:
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., 24:4 (2021), 54–63
\Bibitem{ImoImoUre21}
\by Kh.~Kh.~Imomnazarov, Sh.~Kh.~Imomnazarov, M.~V.~Urev, R.~Kh.~Baxromov
\paper Solution of one overdetermined stationary Stokes-type system in the half-space
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 4
\pages 54--63
\mathnet{http://mi.mathnet.ru/sjim1151}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.404}
Linking options:
https://www.mathnet.ru/eng/sjim1151
https://www.mathnet.ru/eng/sjim/v24/i4/p54
This publication is cited in the following 3 articles:
M. Urev, R. Bahramov, Sh. Imomnazarov, I. Iskandarov, “External Boundary Value Problem for One Overdetermined System Arising in Two-Velocity Hydrodynamics”, J Math Sci, 284:2 (2024), 279
B. Kh. Imomnazarov, Sh. Kh. Imomnazarov, M. M. Mamatkulov, B. B. Khudainazarov, “Fundamentalnoe reshenie dlya statsionarnogo uravneniya dvukhskorostnoi
gidrodinamiki s ravnovesiem faz po davleniyu v dissipativnom priblizhenii”, Sib. zhurn. industr. matem., 25:3 (2022), 33–40
B. Kh. Imomnazarov, Sh. Kh. Imomnazarov, M. M. Mamatqulov, B. B. Khudainazarov, “The Fundamental Solution of the Steady-State Two-Velocity Hydrodynamics Equation with Phase Equilibrium Pressure in the Dissipative Approximation”, J. Appl. Ind. Math., 16:3 (2022), 403