External Boundary Value Problem for One Overdetermined System Arising in Two-Velocity Hydrodynamics

External Boundary Value Problem for One Overdetermined System Arising in Two-Velocity Hydrodynamics Full article

Journal

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374

Output data

Year: 2024, Volume: 284, Number: 2, Pages: 279-286 Pages count : 8 DOI: 10.1007/s10958-024-07349-w

Authors

Urev M. ¹ , Bahramov R. ² , Imomnazarov Sh. ³ , Iskandarov I. ⁴

Affiliations

1	Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, Ac. Lavrentieva ave., Novosibirsk, 630090, Russia
2	Mirzo Ulugbek National University of Uzbekistan, 4, University St., 700174, Tashkent, Uzbekistan
3	15, Lavrentyeva pr., Novosibirsk 630090, Russia
4	Pacific State University, 136, Tihookeanskaya St., Khabarovsk, 680035, Russia

In the domain Ω, external to a bounded domain Ω′ ⊂ , we consider a stationary overdetermined system of two-velocity hydrodynamics with one pressure and homogeneous divergent and inhomogeneous boundary condition for two velocities. The solution of this system is reduced to successive solving two boundary value problems: the Stokes problem for one velocity and pressure and an auxiliary overdetermined boundary value problem for the vector Laplace equation for the other velocity. We establish the existence and uniqueness of a generalized solution to the system and derive the stability estimate.

Urev M. , Bahramov R. , Imomnazarov S. , Iskandarov I.
External Boundary Value Problem for One Overdetermined System Arising in Two-Velocity Hydrodynamics
Journal of Mathematical Sciences (United States). 2024. V.284. N2. P.279-286. DOI: 10.1007/s10958-024-07349-w OpenAlex

Published print:

Sep 6, 2024

OpenAlex:

W4402322462

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