RussiaRxiv · Open Access in English
Translated research papers from Russian journals and repositories
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Generated abstract The paper develops an algorithm for constructing higher order approximations in the averaging method for systems of ordinary differential equations with a small parameter and a periodic right hand side. By successive changes of variables, each remainder is shown to satisfy an equation of the same st…
Generated abstract This paper examines long centrifugal waves that propagate on the free surface of a gas vortex in an axisymmetric translational and rotational flow of an incompressible liquid. Building on a theoretical relation between the critical axial flow velocity and the wave propagation velocity, the study rep…
Generated abstract This paper studies pseudodifferential operators on smooth compact Riemannian manifolds with boundary, acting on Bessel potential spaces of sections of Hermitian vector bundles. It defines boundary indicators as families of Wiener-Hopf operators, formulates fitted boundary problems and related equipm…
Generated abstract This paper examines the relationship between crustal structure and the upper mantle, especially the depth and geophysical expression of the asthenosphere, using magnetovariational observations together with seismic, heat-flow, gravity, radioactivity, and geological data. Drawing on observations from…
Generated abstract A variational procedure is presented for analyzing poorly resolved symmetric isotropic EPR spectra by comparing experimental and theoretical correlation functions in Fourier space. The method uses an analytical expression for the Fourier transform of spectra with Lorentzian and Gaussian line-shape c…
Generated abstract This paper studies generalized Gaussian stationary processes whose spectra have asymptotic power-law behavior, focusing on analytic descriptions of the associated Hilbert spaces with reproducing kernels. Using canonical representations for multiplicity-one processes and Wiener-Hopf type equations, i…
Generated abstract The paper studies the Dirichlet problem for uniformly elliptic second order equations in divergence form whose lower order coefficients may be discontinuous and unbounded, but belong to mixed norm spaces rather than ordinary Lebesgue classes. It develops embedding and interpolation estimates for mix…
Generated abstract This paper examines the anomalous low-temperature plasticity of near-surface layers in diamond-lattice semiconductor crystals, especially silicon, under concentrated “soft indentation” loading through a plastic metal gasket. Using previously established stress calculations and experimental criteria …
Generated abstract The paper reports an X-ray crystallographic determination of synthetic calcium chondrodite, Ca5[SiO4]2(OH)2, obtained under hydrothermal conditions relevant to calcium silicate hydration products. Using 500 nonzero reflections, Patterson analysis, electron-density synthesis, and least-squares refine…
Generated abstract This paper derives the probability of a nonradiative electronic transition with charge redistribution for a molecule or complex embedded in a polar liquid. Treating the medium as a continuous dielectric described by a frequency dependent permittivity, the authors formulate the problem using a Hamilt…
Generated abstract This paper examines a special case in the crystallographic reconstruction of a point basic system from its vector system, when only one multiple peak is available rather than two. The authors adapt the earlier decomposition algorithm, showing that the second stage yields groups of parallelograms ins…
Generated abstract This note studies the evasion version of a linear differential game in which one controlled object seeks to avoid coincidence with another under nonanticipative choice of controls. For the system defined by a constant matrix and convex compact control sets, the authors formulate a sufficient geometr…
Generated abstract This paper studies power stability of finite difference approximations for time-dependent mixed problems with constant coefficients, using the spectral framework of Godunov and Ryabenkii for families of evolution operators. It introduces generalized eigenvalues of the characteristic equation and ana…
Generated abstract This paper examines why quartz crystal terminations become asymmetric or distorted, focusing on the combined effects of crystal orientation in the gravitational field and silica supersaturation in the growth solution. The authors compare natural quartz crystals, using gamma irradiation of polished s…
Generated abstract This paper investigates the angular and frequency dependence of the effective reflection coefficient of sound signals reflected from a rough ocean surface, together with amplitude fluctuations of the reflected pulses. Measurements were made from a single drifting vessel using a submerged transmitter…
Generated abstract The paper proposes a new application of nonstoichiometric semiconductor compounds as in situ sensors for measuring the partial vapor pressure of components during technological processes such as crystal growth and purification. The authors argue that, for compounds with a homogeneity range, changes …
Generated abstract This paper studies stabilization as time tends to infinity for solutions of the heat equation in the generalized Cauchy problem with initial data in the distribution space \(S'_{1/2}(R^n)\). It defines a generalized spherical limiting mean for the initial functional and shows that, when this mean ex…
Generated abstract This paper reports an experimental search for low-lying collective electronic excitations in benzene predicted near 1.04 eV and 1.68 eV. Using very long optical path lengths in liquid benzene and selected derivatives, the authors recorded absorption spectra in the near infrared and visible regions, …
Generated abstract The paper studies the relationship between the Teichmüller metric on the space of marked compact Riemann surfaces of genus p and invariant metrics on the Siegel upper half-plane induced by the period matrix map. It proves that the maximal normalized invariant Finsler metric on the Siegel space gives…
Generated abstract This paper develops a formulation of plane stress for thin plates undergoing finite elastic deformations, assuming negligible transverse stresses and weak variation through the thickness. Using principal stretches, rotation angles, Hencky strain invariants, and a stress function in complex coordinat…
Generated abstract An approximate method is proposed for determining the wavelength-dependent refractive indices and absorption indices of dye molecules, quantities that are difficult to measure directly in dye films. The method treats dye molecules or aggregates as small spherical particles in a nonabsorbing solvent,…
Generated abstract The paper constructs an algebraic framework for studying Hadwiger’s conjecture by assigning to each finite simple graph a polynomial in countably many variables, defined recursively through edge deletion and contraction and initialized on disjoint unions of complete graphs. It defines analogues of t…
Generated abstract This paper studies decompositions of a linear operator on a vector space over an arbitrary field, relative to the direct sum of generalized eigenspaces associated with a chosen subset of the field. It proves that, for any scalar outside this subset, an operator can be written as a sum of two operato…
Generated abstract The paper proposes an experimental method for determining surface stresses in inelastic bodies under complex loading without relying on specific constitutive stress strain relations. The approach records the local deformation history, for example with photoelastic coatings, and reproduces it at the …
Generated abstract This paper investigates the maximum energy and intensity of beta particles undergoing multiple backscattering from targets with different atomic numbers, motivated by applications in compositional analysis and coating-thickness measurement. Using a thallium-204 beta source, an end-window counter, an…
Generated abstract This paper develops a thermodynamic model for nonstoichiometric ferrite spinel solid solutions that includes cation and anion vacancies and allows cation vacancies to distribute between tetrahedral and octahedral sublattices. From the proposed formula unit, the authors derive equilibrium relations c…
Generated abstract The paper studies boundary value problems for a class of second order systems of composite type whose characteristic polynomial has one multiple family of real characteristics, focusing on a canonical system previously derived by the author. It formulates a boundary value problem with mixed conditio…
Generated abstract This paper examines avalanche-like crystallization of magnesium sulfate heptahydrate from supersaturated solution, focusing on the distribution of right- and left-handed crystals under conditions where crystal multiplication is significant. Experiments in closed vessels at different supersaturations…
Generated abstract The paper studies duality relations between beta and delta characteristics of Banach spaces, defined through extremal averages over families of subspaces. It introduces a convex function transformation related to the Legendre transform, establishes its inversion properties, and applies it to connect…
Generated abstract The paper studies efficient trajectories in a positively homogeneous dynamic model of production, formulated through superlinear set-valued mappings between ordered cones and encompassing discrete variable-technology models and continuous convex programming problems. It establishes compactness and e…
Generated abstract This paper analyzes binary collisions of solid spherical particles immersed in an ideal incompressible liquid, motivated by particle interactions in fluidized beds. Using Lagrange equations for a system of spheres coupled to the surrounding fluid, it derives jump conditions for velocities at the ins…
Generated abstract This paper examines the thermal power of hydrothermal systems and active volcanoes in regions of modern volcanism, treating convective heat transfer as the dominant mechanism and relating heat flow to caldera and volcano-tectonic structures. Using published and calculated data from Kamchatka, the Ku…
Generated abstract This paper examines how melting zones in the Earth’s upper mantle evolve during the planet’s thermal history under heating by radioactive decay. The authors solve a spherically symmetric quasilinear heat-conduction problem by an implicit finite-difference method, allowing thermal parameters to chang…
Generated abstract The paper develops an iterative method for solving a class of integral equations in potential theory when the usual Neumann series is obstructed by a nearest eigenvalue. A general theorem is proved for completely continuous operators in a Hilbert space, showing convergence of an iteration on the ort…
Generated abstract This paper develops a coordinate-free treatment of elastic wave propagation in piezoelectric crystals of arbitrary symmetry. Starting from the piezoelectric constitutive equations and the quasistatic electrodynamic approximation, it rewrites the Green-Christoffel equation as the ordinary elastic ten…
Generated abstract This paper examines how the initial energy of incident ions affects the relative intensity of double-scattering peaks in energy distributions of ions scattered by crystal surfaces. Argon ions with energies from 10 to 20 keV were scattered from the (100) face of a copper crystal under different grazi…
Generated abstract This paper analyzes stimulated combination scattering of light by surface waves at the boundary between two media, including capillary, gravitational, and Rayleigh waves. Using electromagnetic boundary conditions and the linearized motion of an incompressible fluid surface, the authors derive scatte…
Generated abstract This paper investigates weak components of the electron paramagnetic resonance spectrum previously attributed to nitrogen-related centers in natural diamond, testing whether they arise from substitutional ions at tetrahedral carbon sites. By examining variety II diamond samples, the authors observe …
Generated abstract The paper addresses diagnostics of dense, low temperature plasma by analyzing the frequency shift and half width of satellites in the laser light scattering spectrum, where collective electron effects make integral intensity methods unsuitable. It develops a graphical procedure based on the full sca…
Generated abstract This paper studies the Hilbert-type singular integral with summable density on a finite interval and estimates how its local \(L_p\) size and modulus of continuity depend on corresponding characteristics of the density. For \(1<p\leq\infty\), the authors prove integral inequalities relating \(\Omega…
Generated abstract This note develops a topological analogue of Słupecki’s theorem for continuous mappings on selected compact spaces. Using an Ostrand form of the Kolmogorov, Arnold superposition theorem, it proves a representation theorem for continuous maps from powers of a connected finite polyhedron into the circ…
Generated abstract This paper examines regularities of droplet carryover in bubbling and non-bubbling evaporating apparatuses, distinguishing entrainment by splashing from transported carryover of droplets that are not separated in the vapor space. A theoretical description is developed using droplet-size distribution…
Generated abstract This study examines how the absolute attenuation coefficient of continuous laser radiation in aqueous fogs depends on droplet concentration and size. Experiments in an artificial fog chamber combined laser transmission measurements at wavelengths of 0.63, 1.15, and 3.39 micrometers with automated ph…
Generated abstract The paper develops an energy equilibrium condition for crack growth in ideal elastic-plastic bodies when plastic deformation is concentrated in a narrow zone ahead of the crack tip. The plastic zone is replaced, in a linearized formulation, by an additional cut carrying stresses that represent the a…
Generated abstract This study examines whether vibrational frequencies of ammonium cations can be identified in the fluorescence spectra of double uranyl salts through isotopic substitution. Infrared absorption and liquid nitrogen luminescence spectra were measured for ammonium uranyl chloride and ammonium uranyl sulf…
Generated abstract This note studies the problem of recognizing the final state of a finite automaton treated as a black box, with particular attention to the length of the shortest homogeneous experiment. Building on earlier worst case bounds of Hibbard and on estimates involving the degree of distinguishability, it …
Generated abstract This paper reports measurements of high-frequency plasma noise during turbulent heating by a direct discharge current, motivated by theories that attribute anomalous plasma resistance to ion-acoustic current instability. Because the expected ion-acoustic wavelengths are too small for reliable Langmu…
Generated abstract This note studies the asymptotic correcting capabilities of random binary linear codes of length n and dimension k equal to the integer part of nR, with fixed rate 0 < R < 1. Using a uniform probability measure on generator matrices, it analyzes the distribution of the minimum nonzero codeword weigh…
Generated abstract This paper studies Hölder continuity of generalized solutions in \(W_2^1(D)\) for a class of strictly elliptic divergence form equations whose lower order coefficients and free terms belong to mixed norm spaces. Since these spaces may include functions outside the integrability range covered by stan…
Generated abstract This paper studies octupole excited states in deformed even-even nuclei with mass numbers 150 to 176 within the superfluid nuclear model using approximate second quantization. The calculations employ single-particle energies and wave functions from the Saxon-Woods potential, include pairing and octu…
