The paper is devoted to the problem of constructing minimal networks spanning a discrete set of points and a smooth curve, or a surface in Euclidean space. The problem represents one of the generalizations of the Steiner problem. In the case of two points and a line in the Euclidean plane, we describe sets of points for all types of absolutely minimal graphs, as well as minimal spanning graphs and Steiner graphs; the lengths of all kinds of minimal graphs and ratio of the lengths of Steiner graphs to the lengths of the minimal spanning graphs are calculated: a set of such ratios coincides with the set of points in the interval.

Based on a fractal continuum model of matter and calculation of vibrational spectra of clusters by ab initio methods, we report the results of the quantitative impact of various molecular conformations on the heat capacity in isomers of water clusters.

We have derived constitutive equations of the heat exchange process in the case of internal cross-cooling of a gas-turbine engine blade for the desired temperature field on the contact surface of the blade and the coating exposed to the greatest thermal load. The method is developed for calculating heat transfer coefficients from the inner surface of the blade to the cooling agent by constructing a finite-difference scheme. In deriving difference relations, the dependence of thermal properties of multilayer thermal barrier coatings on temperature, type of material and layer thickness is taken into account. A recurrence formula is obtained for estimating the coolant temperature changing along the contour of the blade.

Using the examples of solving boundary-value problems for the Laplace equation (the Dirichlet problem for the half-space and the mixed boundary-value Dirichlet - Neumann problem for an infinite layer), we consider the application of the Fourier transform. We present the solutions to the filtration problems of seepage flows below the dam using the above formulas.

The paper presents the most important events and scientific workshops held at the Moscow State Regional University (MSRU) from 21 to 25 April 2015 during the International Conference on “Physical Properties of Materials and Disperse Media for Elements of Information Systems, Nanoelectronic Devices and ‘Green’ Technologies”. Special attention has been paid to a memorial session devoted to the 100th anniversary by prof. Olga V. Golubeva, the Head of the Theoretical Physics Department at the Moscow Regional Teachers Training Institute (MSRU) in 1955-1975.

The paper presented is devoted to the 100th anniversary of Professor Olga Golubeva, who headed the Chair of the Theoretical Physics Department at the Moscow Regional Teachers Training Institute (at present, Moscow State Regional University, MSRU). The paper comprises a review of her research activity and its impact on modern science and technology. In the field of continuum mechanics, she studied the motion of fluids in films of variable thickness located on curved surfaces. Since the solutions exactly satisfy the equations, they described hydrodynamic problems as well as two-dimensional problems of filtration, thermal conductivity, electrostatics, diffusion, etc. in inhomogeneous media. This enables a broad application of her theory in a variety of tasks challenged by modern practice.

We consider the influence of nano- and biostructuring of the bulk of thin polymer films and liquid crystals as well as the modification of the solid substrate-nanostructure interface on the transmission spectrum, self-assembly, improvement of photoconductive and photorefractive properties of a number of systems that can be applied in the optoelectronics, display equipment and biomedicine.

Peculiar properties of lasing from film dye lasers in the case of spatially modulated excitation are studied. The modulation of the excitation intensity in the plane of the film is performed and the laser emission perpendicular to the film plane is considered. The lasing area diameter is chosen 1...2 orders larger than the layer thickness. As a result of spatially modulated pumping, spatially modulated laser emission is observed. The cross section of the divergent laser beam represents an interference pattern in the form of light and dark stripes whose period depends on the spatial period of excitation. Thus, the beam of the film laser carries information about the spatial distribution of the pump intensity and the obtained film laser operates as an active elementary dynamic hologram.

Using the method of characteristics in the framework of the kinetic approach, we have constructed an analytical solution to the problem of heat transfer in a long, rectangular channel of constant cross section. As the main equation describing the kinetics of the process, we use the BGK (Bhatnagar, Gross and Krook) model of the kinetic Boltzmann equation with a frequency of collisions, which is proportional to the speed of molecules (Williams equation), and as a boundary condition on the walls of the channel, use is made of the diffuse reflection model. The profile of the heat flux vector in the channel is constructed and the heat flux through the cross section of the channel is calculated. The solutions obtained in the limiting case, when one of the channel dimensions is greater than the other, are analyzed. It is shown that in this case the results of this paper are transferred to similar results obtained for a flat channel with infinite parallel walls.

The evolution of a nonstationary wide gas-like cloud expanded into the half-space is considered. The density of the matter flow in a nonstationary gas-liked system of many particles is studied. The analytical formulae of the matter flow density with allowance for a nonpotential term are derived. The analysis and graphical presentation of the obtained formulae are performed.

The article deals with the study of processes of preparation measurements lighting characteristics TFEL devices. We analyzed the physical properties of indicator parameters. Have developed approaches and procedures applicable to the creation of hardware and software measurement lighting parameters TFEL elements. Analysis of formalized steps of measuring, in the presence of a data bank structures, parameters of indicator elements, measurement methods and the list of measuring instruments showed that it is possible to develop an automated system for training experiment. Modules included in the software package transmission, processing and storage of the measurements are developed depending © Максимова О.В., Максимов С.М., 2015. on the type of output experimental data (graphic, numeric data arrays, numerical values indicators).

We consider the artifacts arising in fast-switching, supertwisted neumatic (STN) liquid-crystal (LC) shutters for active 3D-glasses. The factors, influencing their shape and location, are reviewed. The methods for elimination of this defect are suggested.