Geodesic
A boundary value problem for one overdetermined system arising in two-velocity hydrodynamics
Matematičeskie zametki SVFU, Tome 29 (2022) no. 1, pp. 13-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the half-plane $R^2$ , we consider a stationary system of two-velocity hydrodynamics with one pressure and homogeneous divergent and boundary conditions for two velocities. The system is overdetermined. The solution to this system is reduced to a consistent solution of the two boundary value problems: the Stokes problem for one velocity and pressure and the overdetermined system for a different velocity. For an appropriate choice of function spaces, the existence and uniqueness of the generalized solution with a corresponding stability estimate is proven.
Keywords: overdetermined two-velocity stationary hydrodynamics system, Stokes problem, half-space
Mots-clés : Poisson equation, viscous liquid. 
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     author = {Kh. Kh. Imomnazarov and I. K. Iskandarov and S. B. Kuyliev and M. V. Urev},
     title = {A boundary value problem for one overdetermined system arising in two-velocity hydrodynamics},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {13--23},
     year = {2022},
     volume = {29},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2022_29_1_a1/}
}
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Kh. Kh. Imomnazarov; I. K. Iskandarov; S. B. Kuyliev; M. V. Urev. A boundary value problem for one overdetermined system arising in two-velocity hydrodynamics. Matematičeskie zametki SVFU, Tome 29 (2022) no. 1, pp. 13-23. http://geodesic.mathdoc.fr/item/SVFU_2022_29_1_a1/