45 research outputs found

    The Policy of Regional Convergence in Russia-Belarus integration: Prospects for Development

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    In a number of cases, integration of a large international region or an interstate union can only be promoted by political means. The policy of regional economic convergence prevails in many sectors. The single economic market and membership in economic and monetary unions give a new impetus to consolidation. The study aims to identify and explore the problems of political governance, which the Union State of Russia-Belarus faces due to their asymmetric and not completely compatible economies. The author analyzes the process of interstate convergence, considering it as an essential part of integration and explores a number of specific characteristics underlying the Russian-Belarusian economic integration. The author offers a set of criteria of convergence/not convergence of the states, describes the principles of their economic and political rapprochement and offers models of convergence as well as prerequisites for them. The article examines the principles that determine the participation of a country in international integration as well as prospects for the further development of the regional economic and political mechanisms, which are being forme

    Classical relativistic nonholonomic mechanics and time-dependent GG-Chaplygin systems with affine constraints

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    We study the relativistic formulation of a classical time-dependent nonholonomic Lagrangian mechanics from the perspective of moving frames. We also introduce time-dependent GG-Chaplygin systems with affine constraints, which are natural objects for the invariant formulation of nonholonomic systems with symmetries. As far as the author is aware, the Hamiltonization problem for time-dependent constraints has not yet been studied. As a first step in this direction, we consider a rolling without sliding of a balanced disc of radius rr over a vertical circle of variable radius R(t)R(t). We modify the Chaplygin multiplier method and prove that the reduced system becomes the usual Lagrangian system with respect to the new time.24 pages, 4 figures, continuation of arXiv:2403.0111

    Black holes in Einstein-Gauss-Bonnet gravity with a background of modified Chaplygin gas

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    Supposing the existence of modified Chaplygin gas with the equation of state p=AρB/ρβp=Aρ-B/ρ^β as a cosmic background, we obtain a static spherically-symmetric solution to the Einstein-Gauss-Bonnet gravitational equations in 5D spacetime. The spacetime structure of the obtained black hole solution could be asymptotically anti-de Sitter or de Sitter, according to the specific values of modified Chaplygin gas parameters versus the cosmological constant. We analyze the parametric regions for both kinds of solutions. For asymptotically anti-de Sitter black hole, there exists the so-called small/large black hole phase transition, we obtain critical values of pressure, volume, and temperature and investigate the effects of both the Gauss-Bonnet gravity and the modified Chaplygin gas on these values. For asymptotically de Sitter black hole, no PrhP-r_h criticality and phase transition appear, and we show that the thermodynamic systems related to various horizons of asymptotically de Sitter black hole are in fact entangled.20 pages, 6 figures. Published version. arXiv admin note: text overlap with arXiv:1306.6233 by other author

    General Tricomi–Rassias problem and oblique derivative problem for generalized Chaplygin equations

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    AbstractMany authors have discussed the Tricomi problem for some second order equations of mixed type, which has important applications in gas dynamics. In particular, Bers proposed the Tricomi problem for Chaplygin equations in multiply connected domains [L. Bers, Mathematical Aspects of Subsonic and Transonic Gas Dynamics, Wiley, New York, 1958]. And Rassias proposed the exterior Tricomi problem for mixed equations in a doubly connected domain and proved the uniqueness of solutions for the problem [J.M. Rassias, Lecture Notes on Mixed Type Partial Differential Equations, World Scientific, Singapore, 1990]. In the present paper, we discuss the general Tricomi–Rassias problem for generalized Chaplygin equations. This is one general oblique derivative problem that includes the exterior Tricomi problem as a special case. We first give the representation of solutions of the general Tricomi–Rassias problem, and then prove the uniqueness and existence of solutions for the problem by a new method. In this paper, we shall also discuss another general oblique derivative problem for generalized Chaplygin equations

    ANALYSIS OF THE PROCESSES IN AN INDUCTOR SYSTEM WITH AN ATTRACTING SCREEN EXCITED BY THE EXTERNAL CIRCULAR SOLENOID

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    Introduction. Developments in the field of magnetic-pulse treatment of metals (MPTM) are increasingly used in the modern technologies of production and repair of the aviation, automotive and other machinery, as they are environmentally friendly and energy-efficient in comparison with classical approaches. One of the main components of the device MPTM is a tool – inductor or the inductor system with an attractive screen (ISAS). The calculated dependences to calculate the inductor system with an attractive screen were taken from previous works. The ratios were obtained for the low-frequency mode of the excited fields, when is place their significant penetration through a thin-walled metal screen and a deformed workpiece. As it was shown earlier this mode is the most efficient from point of view of a force action on the object of a processing. Purpose. The theoretical analysis of the spatial-temporal distributions of the induced currents and forces of an attraction in the inductor system with an attractive screen excited by a flat circular solenoid located on the outside of the auxiliary screen. Methodology. The calculations are shown that the induced currents both in the screen and the workpiece are unidirectional and their interaction, in accordance with the law of Ampere determines the amplitudes of excited forces of attraction. Let’s note the effective validity of the considered inductor system excited by an external circular solenoid. With sufficient simplicity of the design take place rather high values of the developed forces of attraction and their averages. Results. Physically, a higher power efficiency of the system with an «external» coil in comparison with a system where coil is located in the internal cavity, can be accounted for lade of «failure» in the radial distribution of the excited forces. This «failure» in the design with a coil between the sheet metal is caused by its screening action against the forces of attraction between the induced currents. Practical value. It is shown that the inductor system with an attractive screen when it is excited by outer circular solenoid with a current of 50 kA ~ provides attractive power rates to about 1400 N on an area of sheet metal ~ 0.004 m2. The sufficiently high efficiency of the proposed options of an inductor system allows us to recommend it as a tool of the external straightening dents in the bodycar surfaces of vehicles

    Large-scale structure in superfluid Chaplygin gas cosmology

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    We investigate the growth of the large-scale structure in the superfluid Chaplygin gas (SCG) model. Both linear and nonlinear growth, such as sigma(8) and the skewness S-3, are discussed. We find the growth factor of SCG reduces to the Einstein-de Sitter case at early times while it differs from the cosmological constant model (ACDM) case in the large a limit. We also find there will be more stricture growth on large scales in the SCG scenario than in ACDM and the variations of sigma 8 and S-3 between SCG and ACDM cannot be discriminated.Astronomy & AstrophysicsPhysics, Particles & FieldsSCI(E)[email protected]

    Variable Chaplygin gas in Kaluza-Klein framework

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    We investigate cosmological features of the variable Chaplygin gas (VCG) describing a unified dark matter-energy scenario in a universe governed by the five dimensional (5D) Kaluza-Klein (KK) gravity. In such a proposal, the VCG evolves as from the dust-like phase to the phantom or the quintessence phases. It is concluded that the background evolution for the KK type VCG definition is equivalent to that for the dark energy interacting with the dark matter. Next, after performing neo-classical tests, we calculated the proper, luminosity and angular diameter distances. Additionally, we construct a connection between the VCG in the KK universe and a homogenous minimally coupled scalar field by introducing its self-interacting potential and also we confirm the stability of the KK type VCG model by making use of thermodynamics. Moreover, we use data from Type Ia Supernova (SN Ia), observational H(z) dataset (OHD) and Planck-2015 results to place constraints on the model parameters. Subsequently, according to the best-fit values of the model parameters we analyze our results numerically.The accepted manuscript in pdf format is listed with the files at the bottom of this page. The presentation of the authors' names and (or) special characters in the title of the manuscript may differ slightly between what is listed on this page and what is listed in the pdf file of the accepted manuscript; that in the pdf file of the accepted manuscript is what was submitted by the author

    Statefinder diagnostic for modified Chaplygin gas cosmology in f(R,T) gravity with particle creation

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    In this paper, we have studied flat Friedmann--Lema\^{\i}tre--Robertson--Walker (FLRW) model with modified Chaplygin gas (MCG) having equation of state p_{m}=A\rho -% \frac{B}{\rho ^{\gamma }}, where 0A10\leq A\leq 1, 0γ10\leq \gamma \leq 1 and BB is any positive constant in }f(R,T){\footnotesize f(R,T)}{\footnotesize \ gravity with particle creation. We have considered a simple parametrization of the Hubble parameter HH in order to solve the field equations and discussed the time evolution of different cosmological parameters for some obtained models showing unique behavior of scale factor. We have also discussed the statefinder diagnostic pair {r,s}\{r,s\} that characterizes the evolution of obtained models and explore their stability. The physical consequences of the models and their kinematic behaviors have also been scrutinized here in some detail.Comment: 21 pages, 23 figures. arXiv admin note: text overlap with arXiv:1603.02573 by other author

    LRS Bianchi type-V Universe with Variable Modified Chaplygin Gas in a Scalar Tensor Theory of Gravitation

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    The spatially homogeneous and anisotropic LRS Bianchi type-V Universe filled with variable modified Chaplygin gas in the framework of Brans-Dicke [1] scalar-tensor theory of gravitation has been studied. To obtain a determinate solution of the field equations we have used the condition that scalar field is a function of average scale factor. Some physical and kinematical properties of the model are discussed. We have also analyzed the stability of the solution.The accepted manuscript in pdf format is listed with the files at the bottom of this page. The presentation of the authors' names and (or) special characters in the title of the manuscript may differ slightly between what is listed on this page and what is listed in the pdf file of the accepted manuscript; that in the pdf file of the accepted manuscript is what was submitted by the author

    POLITICAL ADVERTISING AS A FORM OF COMMUNICATION

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    The author examines the political advertising, as one of the forms of communication in the society. Analyzing different kinds and directions of political advertising, the author reveals a mechanism of manipulative influence of advertising on the electorat
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