Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Evgenii S. Baranovskii"'
Publikováno v:
Mathematics, Vol 12, Iss 21, p 3337 (2024)
This article is devoted to the mathematical analysis of a heat and mass transfer model for the pressure-induced flow of a viscous fluid through a plane channel subject to Navier’s slip conditions on the channel walls. The important feature of our w
Externí odkaz:
https://doaj.org/article/f6fe3667efb84511b809cbbd8b96ebab
Publikováno v:
Mathematics, Vol 12, Iss 5, p 756 (2024)
In this paper, we investigate the solvability of a boundary value problem for a heat and mass transfer model with the spatially averaged Rayleigh function. The considered model describes the 3D steady-state non-isothermal flow of a generalized Newton
Externí odkaz:
https://doaj.org/article/229e4949876e406e812ce95e6da0fff4
Publikováno v:
Mathematics, Vol 11, Iss 12, p 2719 (2023)
In this article, we investigate an optimal control problem for the coupled system of partial differential equations describing the steady-state flow of a corotational-type Oldroyd fluid through a bounded 3D (or 2D) domain. The control function is inc
Externí odkaz:
https://doaj.org/article/72e11f9a1b6c4992b5d62551bdc13c0f
Autor:
Evgenii S. Baranovskii
Publikováno v:
Nanomaterials, Vol 13, Iss 8, p 1409 (2023)
In this paper, we obtain new exact solutions for the unidirectional non-isothermal flow of a second grade fluid in a plane channel with impermeable solid walls, taking into account the fluid energy dissipation (mechanical-to-thermal energy conversion
Externí odkaz:
https://doaj.org/article/b0556df2e76c4ea4a421d8ea6761b20e
Publikováno v:
Fractal and Fractional, Vol 6, Iss 7, p 373 (2022)
We study the generalized unsteady Navier–Stokes equations with a memory integral term under non-homogeneous Dirichlet boundary conditions. Using a suitable fractional Sobolev space for the boundary data, we introduce the concept of strong solutions
Externí odkaz:
https://doaj.org/article/07704878c2ca430ab5df321d3d987228
Autor:
Evgenii S. Baranovskii, Eber Lenes, Exequiel Mallea-Zepeda, Jonnathan Rodríguez, Lautaro Vásquez
Publikováno v:
Symmetry, Vol 13, Iss 11, p 2050 (2021)
We study an optimal control problem for the stationary Stokes equations with variable density and viscosity in a 2D bounded domain under mixed boundary conditions. On in-flow and out-flow parts of the boundary, nonhomogeneous Dirichlet boundary condi
Externí odkaz:
https://doaj.org/article/8b6e40dc678a44b6bad2815853e37fba
Publikováno v:
Symmetry, Vol 13, Iss 7, p 1300 (2021)
This paper deals with a 3D mathematical model for the non-isothermal steady-state flow of an incompressible fluid with temperature-dependent viscosity in a pipeline network. Using the pressure and heat flux boundary conditions, as well as the conjuga
Externí odkaz:
https://doaj.org/article/b078118b77634564acdffe6d2d262ad8
Publikováno v:
Symmetry, Vol 13, Iss 8, p 1355 (2021)
This article discusses the possibility of using the Lin–Sidorov–Aristov class of exact solutions and its modifications to describe the flows of a fluid with microstructure (with couple stresses). The presence of couple shear stresses is a consequ
Externí odkaz:
https://doaj.org/article/02fe8208688b40fc914259faa875d297
Publikováno v:
Mathematics, Vol 9, Iss 3, p 275 (2021)
This paper deals with an optimal control problem for a nonlocal model of the steady-state flow of a differential type fluid of complexity 2 with variable viscosity. We assume that the fluid occupies a bounded three-dimensional (or two-dimensional) do
Externí odkaz:
https://doaj.org/article/de68d8e1e64848afae1d8b88b17fe380
Autor:
Evgenii S. Baranovskii
Publikováno v:
Mathematics, Vol 8, Iss 2, p 181 (2020)
This paper deals with an initial-boundary value problem for the Navier−Stokes−Voigt equations describing unsteady flows of an incompressible non-Newtonian fluid. We give the strong formulation of this problem as a nonlinear evolutionary equation
Externí odkaz:
https://doaj.org/article/be86b0bfe2894788b5d092a9a3d65506