B. Kh. Imomnazarov, Sh. Kh. Imomnazarov, M. M. Mamatkulov, B. B. Khudainazarov, “The fundamental solution of the equation in dissipative approximation for the stationary two-velocity hydrodynamics with phase equilibrium pressure ”, Sib. Zh. Ind. Mat., 2022, Volume 25, Number 3,Pages <nobr>33–40</nobr>

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Sib. Zh. Ind. Mat., 2022 Volume 25, Number 3, Pages 33–40 (Mi sjim1180)

The fundamental solution of the equation in dissipative approximation for the stationary two-velocity hydrodynamics with phase equilibrium pressure

B. Kh. Imomnazarov^a, Sh. Kh. Imomnazarov^bc, M. M. Mamatkulov^d, B. B. Khudainazarov^d

^a Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
^b Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Akad. Lavrentyeva 6, Novosibirsk 630090, Russia
^c Sobolev Institute of Geology and Mineralogy SB RAS, pr. Acad. Koptyuga 3, Novosibirsk 630090, Russia
^d Mirzo Ulugbek National University of Uzbekistan, University town, Tashkent 100174, Uzbekistan

Abstract: The fundamental solution to describe the three-dimensional steady-state flows in dissipative approximation of viscous fluids two velocity continuum with phase equilibrium pressure has been constructed.

Keywords: two-velocity hydrodynamics, viscous fluid, a fundamental solution, the potentials of single and double layer. .

UDC: 517.994

Received: 12.01.2022
Revised: 12.01.2022
Accepted: 22.06.2022

DOI: 10.33048/SIBJIM.2021.25.304

© Steklov Math. Inst. of RAS, 2024