Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Dmytro Leshchenko"'
Publikováno v:
Journal of Applied and Computational Mechanics, Vol 10, Iss 1, Pp 1-12 (2024)
An exact solution is proposed for describing the steady-state and unsteady gradient Poiseuille shear flow of a viscous incompressible fluid in a horizontal infinite layer. This exact solution is described by a polynomial of degree N with respect to t
Externí odkaz:
https://doaj.org/article/5f464cb4c5794d4ab0fddc9aaac1cc45
Publikováno v:
Journal of Applied and Computational Mechanics, Vol 9, Iss 2, Pp 521-528 (2023)
The paper generalizes the partial class of exact solutions to the Navier–Stokes equations. The proposed exact solution describes an inhomogeneous three-dimensional shear flow in a layer of a viscous incompressible fluid. The solution is studied for
Externí odkaz:
https://doaj.org/article/4e7f2ec1909e41039dcd6bba5107255c
Publikováno v:
Journal of Applied and Computational Mechanics, Vol 8, Iss 3, Pp 1023-1031 (2022)
Perturbed motions of a rigid body, close to the Lagrange case, under the action of restoring and perturbation torques of forces are investigated in the paper. The following problem is formulated: investigating solutions behavior of system of equation
Externí odkaz:
https://doaj.org/article/73b378af6f9e4f21b05121d4dc3e7aff
Publikováno v:
Mathematics, Vol 11, Iss 14, p 3147 (2023)
This article is devoted to the study of the stability of movement of a satellite of finite size around the natural satellites of the planets in the solar system, using the new concept of ER3BP with variable eccentricity. This concept was introduced e
Externí odkaz:
https://doaj.org/article/6b6dbbcbc46346a5b7c2be0f90c2aa1e
Publikováno v:
Mathematics, Vol 11, Iss 9, p 2117 (2023)
Having taken into account the nonsymmetric form of Earth’s surface (which is an oblate spheroid as the first approximation, with oblateness of approx. 1/300), we outline in the current research that additional large-scale torques stem from unbalanc
Externí odkaz:
https://doaj.org/article/4cd7c180439544769e498d673b472e7f
Publikováno v:
Fluids, Vol 8, Iss 4, p 123 (2023)
To solve the problems of geophysical hydrodynamics, it is necessary to integrally take into account the unevenness of the bottom and the free boundary for a large-scale flow of a viscous incompressible fluid. The unevenness of the bottom can be taken
Externí odkaz:
https://doaj.org/article/21eebeadf84a426588059a89781b4655
Autor:
Sergey Ershkov, Dmytro Leshchenko
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1491 (2023)
We have considered here a novel particular model for dynamics of a non-rigid asteroid rotation, assuming the added mass model instead of the concept of Viscoelastic Oblate Rotators to describe the physically reasonable response of a ‘rubble pile’
Externí odkaz:
https://doaj.org/article/ec901c9179b1492fadc3a81f09b01adf
Publikováno v:
Symmetry, Vol 15, Iss 2, p 326 (2023)
In this study, we present a new approach with semi-analytical and numerical findings for solving equations of motion of small orbiter m, which is moving under the combined gravitational attraction of three primaries, M1, M2, and M3, in case of the bi
Externí odkaz:
https://doaj.org/article/7e13603c37f4436dbcc645c4a42a061b
Autor:
SERGEY ERSHKOV, DMYTRO LESHCHENKO
Publikováno v:
Anais da Academia Brasileira de Ciências, Vol 93, Iss suppl 3 (2021)
Abstract In this paper, we present a new mathematical approach or solving procedure for analysis of the Sundman’s inequality (for estimating the moment of inertia of the Solar system’s configuration) with the help of Lagrange-Jacobi relation, und
Externí odkaz:
https://doaj.org/article/88fd498e80c94357a2278dc966c5679b
Autor:
SERGEY ERSHKOV, DMYTRO LESHCHENKO
Publikováno v:
Anais da Academia Brasileira de Ciências, Vol 93, Iss 4 (2021)
Abstract This paper presents the application of recent ansatz for estimation of stability of the Laplace resonance for Galilean moons (Io, Europa, Ganymede). We estimate over time the eccentricity + semi–major axis in a binary system experiencing t
Externí odkaz:
https://doaj.org/article/4bc6b54f2645477d972bfba402e87236