Kabardino-Balkar Republic, Russia
Kabardino-Balkar Republic, Russia

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Beshtokov M.K.H.,Kabardino-Balkarian State University
IOP Conference Series: Materials Science and Engineering | Year: 2016

In this paper, we consider the third boundary value problem for loaded differential Sobolev type equation and grid methods of their numerical implementation. To solve the problem, a priori estimates in differential and difference settings are obtained. These a priori estimates imply uniqueness and stability of the solution with respect to the initial data and the right-hand side on the layer, as well as the convergence of the solution of each of the difference problem to the solution of the corresponding differential problem. © Published under licence by IOP Publishing Ltd.


Grant
Agency: European Commission | Branch: FP7 | Program: CP-FP-SICA | Phase: SSH.2013.4.1-1 | Award Amount: 2.04M | Year: 2014

ISSICEU analyses sources of stability and instability in the Caucasus regarding political regimes, civic participation, economic interdependencies and neighbourhood influences. We evaluate the implications for military, political, economic and societal security. We deliver three relevant products for EU policy formulation: We analyse and map emerging conflicts of local, regional and international dimensions and highlight crucial actors and mechanisms. We elaborate on scenarios concerning potential future security developments. We give concise policy recommendations on opportunities for the EU to influence conflict solution and long-term stability in the Caucasus societies and the whole region. ISSICEU disseminates the findings as follows: policy briefs; expert workshops in relevant EU agencies and for stakeholders in EU countries and the Caucasus; a scenario-workshop at the final stage. ISSICEU explores intra-societal frictions and their regional impact in the political regimes focussing mainly on dynamics of communal governance; the interplay of religious and state actors and practices of civic participation. We analyse inter-societal sources of (in)stability regarding economic dependencies; political and societal relations between the Caucasus and neighbourhood states. ISSICEU makes comparative analyses across sub-regions and studies aspects of inter-societal relations. We consider the historical and contemporary ties among the societies. We study the Caucasus in its diversity and cohesiveness. Cases are Armenia, Azerbaijan, Georgia, Abkhazia, South Ossetia, Nagorno-Karabakh, Dagestan, Kabardino-Balkaria, Karachay-Cherkessia and Chechnya. In the neighbourhood we focus on Turkey and Iran. ISSICEU takes theory-informed, interdisciplinary and strongly inductive approaches, able to adequately identify phenomena as they manifest themselves in the region and to give innovative policy recommendations.


Dedkov G.V.,Kabardino-Balkarian State University | Kyasov A.A.,Kabardino-Balkarian State University
Surface Science | Year: 2010

We calculate heating rate, attractive conservative and tangential dissipative fluctuation electromagnetic forces felt by a thick plate moving with nonrelativistic velocity parallel to a closely spaced another plate in rest using relativistic fluctuation electrodynamics. We argue that recently developed relativistic out of equilibrium theory of fluctuation electromagnetic interactions [A.I. Volokitin, B.N.J. Persson, Phys. Rev. B78 (2008) 155437; arXiv:/cond-mat.other/0807.1004v1, 2008] has serious drawbacks. © 2009 Elsevier B.V. All rights reserved.


Dedkov G.V.,Kabardino-Balkarian State University | Kyasov A.A.,Kabardino-Balkarian State University
Surface Science | Year: 2012

We have calculated dynamical Casimir-Polder force between a moving ground state atom and a flat polarizable surface. The velocity of an atom can be close to the velocity of light. The material properties are taken into account using a single oscillator model of the atomic dynamic polarizability and the Drude dielectric function of a metal substrate. The limit cases of nonrelativistic velocities and an ideal metal substrate are also considered. We have found specific dependence of the calculated forces on the velocity (energy), distance and material properties. © 2011 Elsevier B.V. All rights reserved.


Dedkov G.V.,Kabardino-Balkarian State University | Kyasov A.A.,Kabardino-Balkarian State University
Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms | Year: 2010

A relativistic theory of fluctuation-electromagnetic interaction of a small neutral polarizable particle moving with respect to the equilibrium background radiation is developed. It is assumed that the particle radius is smaller then the characteristic wave length of the background radiation. General relativistic relations for the particle heating rate and tangential force are obtained and compared with the nonrelativistic and relativistic expressions of other authors. © 2009 Elsevier B.V. All rights reserved.


Dedkov G.V.,Kabardino-Balkarian State University | Kyasov A.A.,Kabardino-Balkarian State University
Surface Science | Year: 2011

We obtained new nonrelativistic expression for the dynamical van der Waals atom-surface interaction energy of a very convenient form for different applications. It is shown that classical result (Ferrell and Ritchie, 1980) holds only for a very slowly moving atom. In general case, the van der Waals atom-surface interaction energy manifests strong nonlinear dependence on the velocity and distance. In close vicinity of metal and dielectric surfaces and velocities ranging from 1 to 10 bohr units the dynamical van der Waals potential proves to be several times lower than in the static case and goes to the static values with increasing the distance and (or) decreasing the velocity. © 2011 Elsevier B.V. All rights reserved.


Khokonov A.,Kabardino-Balkarian State University
Nuclear Physics A | Year: 2016

In the frame of nuclear liquid drop model an analytical solution for the frequency of capillary oscillations is obtained with taking into account the damping due to viscosity and surrounding medium polarizability. The model has been applied for estimation of even-even spherical nuclei surface tension and viscosity. It has been shown that energy shift of capillary oscillations of even-even spherical nuclei due to viscous dissipation gives viscosities in the interval 4.2-7.6 MeVfm-2c-1 for nuclei from 106 46Pd to 198 80Hg. © 2015 Elsevier B.V.


Dedkov G.V.,Kabardino-Balkarian State University | Kyasov A.A.,Kabardino-Balkarian State University
Physica Scripta | Year: 2014

We discuss the properties of thermal electromagnetic radiation produced by a neutral polarizable nanoparticle moving with an arbitrary relativistic velocity in a heated vacuum background with a fixed temperature. We show that the particle in its own rest frame acquires the radiation temperature of a vacuum multiplied by a velocity-dependent factor, and then it emits thermal photons predominantly in a forward direction. The intensity of the radiation for a moving particle proves to be much higher than that for a particle at rest. For metal particles with high energy, the ratio of emitted and absorbed radiation power is proportional to the Lorentz factor squared. © 2014 The Royal Swedish Academy of Sciences.


Alikhanov A.A.,Kabardino-Balkarian State University
Journal of Computational Physics | Year: 2015

In this paper we construct a new difference analog of the Caputo fractional derivative (called the L2-1σ formula). The basic properties of this difference operator are investigated and on its basis some difference schemes generating approximations of the second and fourth order in space and the second order in time for the time fractional diffusion equation with variable coefficients are considered. Stability of the suggested schemes and also their convergence in the grid L2-norm with the rate equal to the order of the approximation error are proved. The obtained results are supported by the numerical calculations carried out for some test problems. © 2014 Elsevier Inc..


Kozlov G.V.,Kabardino-Balkarian State University
Physics-Uspekhi | Year: 2015

Some properties of particulate-filled polymer nanocomposites, including structural features, are reviewed. Novel effects found in these materials, such as nanoadhesion and reinforcement mechanisms, are discussed. A structural analysis is performed using a fractal analysis procedure and the cluster model of the structure of a polymer in an amorphous state. The application prospects of these materials are examined in comparison with other polymer nanocomposites. © 2015 Uspekhi Fizicheskikh Nauk, Russian Academy of Sciences.

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