SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 50 of 25357 papers
This paper derives a universal similarity law for turbulent heat and mass transfer from a smooth wall at large Reynolds and Peclet numbers, relating the Stanton and Nusselt numbers to the friction coefficient, Reynolds number, and Prandtl number. Using overlap arguments between the near-wall tempera…
This note studies the almost sure asymptotic behavior of the maximum of a separable homogeneous isotropic Gaussian random field in Euclidean space, extending earlier one-dimensional results for stationary Gaussian processes. Under assumptions on the existence of continuous first and second derivativ…
Thin-film photodiode arrays based on n-CdS, p-CdTe heterojunctions are described as a possible approach to distributed optical signal processing without the area limitations of single-crystal planar devices. Laboratory arrays with 144 elements per square centimeter were fabricated using perpendicula…
The paper determines the crystal structure of metastable calcium chlororthosilicate, Ca3[SiO4]Cl2, a phase relevant to chloride interactions in Portland cement clinker and to reinforcement corrosion after hydration. Single-crystal X-ray data from protected, rapidly degrading crystals were analyzed u…
This paper proposes and tests a spectroscopic method for measuring nonequilibrium electric fields in turbulent plasma using Stark broadening and splitting of hydrogen spectral lines. The authors apply high-speed electro-optical spectrochronography to collisionless magnetosonic shock waves in a theta…
This paper studies when a value of the Markov spectrum in a specified interval also belongs to, or lies in the closure of, the Lagrange spectrum. Building on methods of Freiman, it formulates conditions in terms of two-sided sequences of continued-fraction partial quotients, convergence of such sequ…
This paper studies limiting modes of motion for machine units whose reduced force moment depends on the driving angle and kinetic energy and may have piecewise-monotone characteristics with discontinuous slope. Using the kinetic energy equation, it establishes conditions for the existence of inertia…
The paper reports measurements of ferroelectric, dielectric, pyroelectric, piezoelectric, and electro-optic properties of natural stibiotantalite specimens from Mozambique. Using oriented cleaved crystals with fired silver electrodes, the authors measured temperature dependences of dielectric permit…
This note states several estimates for families of homeomorphic, quasiconformal, and Sobolev-type mappings of plane and spatial domains under integral bounds on derivatives or inverse derivatives. Using a previously established inequality, it derives lower bounds for the distance of image continua f…
The paper proves existence theorems for nonlinear operator equations in scales of Banach spaces under energy type inequalities and multiplicative norm estimates. Using the Leray Schauder principle, it gives conditions under which equations of the form Au + Ku = h have solutions, including versions b…
The paper applies model theory and nonstandard analysis to questions of topological equivalence for Banach spaces, revisiting the theorem that all infinite-dimensional separable Banach spaces are homeomorphic. It constructs nonstandard Banach spaces through internal function spaces and ultrapowers, …
The paper introduces a generalized construction of Steenrod homology groups for compact metric spaces. It starts with a category of locally finite simplicial complexes and closed simplicial embeddings satisfying union and gluing axioms, together with specified chain classes over a coefficient group …
The paper studies when the eigenvectors of model contractions, realized as restrictions of the adjoint shift on invariant subspaces of vector-valued Hardy space, form a Riesz basis. Using the Sz.-Nagy and Foias characteristic function, it gives criteria for the basis property in terms of inner opera…
This paper studies the local behavior of homogeneous Gaussian random fields near high regular glints, or high-level points with prescribed gradient structure. It first establishes an ergodic theorem for measurable homogeneous fields and applies it to Gaussian fields with continuous sample functions …
This paper analyzes stepwise ionization of atoms in discharge plasmas under conditions of large tube dimensions, high electron density, and electron temperatures small compared with the ionization energy. It derives scaling relations showing how the stepwise ionization constant depends on electron t…
This paper studies the Cauchy problem for the linearized hyperbolic system describing a rotating compressible fluid in three dimensions, with smooth rapidly decreasing initial data and, in the general representation, smooth forcing terms. It derives explicit integral formulas for the velocity and pr…
The article examines whether discrepancies between repeated gravity measurements in the Aral-Caspian region can be interpreted as secular changes in gravity rather than instrumental or reference-point errors. Using gravimetric observations from 1954 to 1966 tied to high-precision control points, the…
The paper studies a modified localization principle for Fourier series with respect to fundamental systems of Laplace operator eigenfunctions in an arbitrary N-dimensional domain. Instead of requiring convergence at a fixed point where the expanded function vanishes locally, it considers almost ever…
This paper examines how a quantum field theory can possess a vacuum that is not invariant under internal symmetry transformations, in light of Coleman’s result relating vacuum invariance to invariance of the theory. It formulates the problem using representations of the Weyl form of canonical commut…
The paper characterizes functionally separable and Tikhonov topological spaces in terms of the behavior of divergent nets under bounded continuous real-valued functions. It proves that, within T1 spaces, functional separability is equivalent to the property that every divergent net with two limit po…
The paper introduces multilevel dynamic games as a formal framework for complex hierarchical systems composed of relatively autonomous subsystems. It defines a finite tree of positions, local games at each position, probabilistic transitions between states across levels, and several important subcla…
The paper studies elliptic boundary value problems for properly elliptic operators with boundary operators that cover the equation, without assuming that the boundary operator system is normal. It constructs a Green vector function for problems with finite dimensional solvability conditions, proves …
This paper analyzes the equilibrium shape of a finite clump of diamagnetic plasma with constant isotropic pressure in the magnetic field of a two-dimensional dipole, motivated by applications to geophysical and solar chromospheric configurations. Using complex-variable methods, the magnetic boundary…
This study examines light absorption in a CaWO4:Nd3+ crystal with Na+ compensation in the 1.06 micrometer region, focusing on thermally populated transitions from the 4I11/2 level to the 4F3/2 level. Absorption spectra for polarized light were measured at 500 to 900 K using photographic photometry a…
The paper addresses the determination of average crustal characteristics from distant earthquake seismograms, motivated by instabilities in interpretations based on transmitted converted waves. It proposes a numerical inversion method in which the crust is modeled as a layer with linearly varying lo…
This paper analyzes steady-state dynamic vibrations of an infinite elastic plane containing a finite crack subjected to a harmonic normal load on the crack faces. Using elliptic coordinates, the displacement potentials are reduced to Mathieu equations, and the boundary conditions on the crack are tr…
This paper studies the structure of the set of positive deviations of a meromorphic function, defined through the growth of the maximum reciprocal distance from a value relative to the Nevanlinna characteristic. It compares this set with the sets of defective values in the senses of Nevanlinna and V…
The paper studies perturbations of the continuous spectrum for the multiplication operator in \(L_2(-\infty,\infty)\) under a class of infinite-dimensional completely regular perturbations represented as \(V=A^*B\). Using an operator-valued function \(K(\zeta)=1+BS_\zeta A^*\), it characterizes nonr…
The paper introduces pseudodevelopable spaces, defined by the existence of a sigma-biconservative pairbase, and studies their role in problems concerning symmetrizability. It gives equivalent characterizations of this class, establishes preservation under hereditary operations, countable products, c…
This paper develops variational methods for estimating the electric and magnetic polarizability coefficients that characterize diffraction by a small aperture in a perfectly conducting plane screen. Starting from the corresponding electrostatic and magnetostatic boundary value problems, the authors …
This note studies spaces of topological embeddings of manifolds, especially locally flat and locally simply connected embeddings in codimension other than two. It proves a local isotopy theorem implying local p-connectedness of the space of locally flat embeddings, using reductions to local cube emb…
This paper studies estimation of a shift parameter for distributions supported on a bounded interval, with emphasis on equivariant Pitman estimates and their sequential analogues. It proves an upper bound for the mean squared error of the fixed-sample Pitman estimate in terms of the sample size and …
This paper studies a boundary value problem in an infinite layer for systems of linear differential difference equations with constant coefficients, where some components are prescribed at the initial hyperplane and the remaining components at the terminal hyperplane. Using a determinant associated …
The paper studies constructive characterizations of functions in L2 on the unit sphere in terms of their best approximation by finite spherical harmonic sums and the behavior of spherical Fourier coefficients. It establishes necessary and sufficient conditions, under Lozinskii type assumptions on a …
This note extends Glicksberg’s generalization of Kakutani’s fixed point theorem in locally convex Hausdorff linear topological spaces to a broader class of set-valued mappings. After recalling closed multifunctions, it introduces a weaker notion of partial closedness, defined by a limiting condition…
The paper examines observable consequences of relativistic tensor theories of gravitation in flat space, especially cases in which the equivalence principle is not fully satisfied. Using a linear tensor-gravity action for particles interacting with gravitational and electromagnetic fields, it analyz…
This paper studies the asymptotic decay of the error in finite-past linear prediction for multidimensional stationary sequences of full rank, measured through the difference between finite and infinite prediction accuracy. It establishes necessary and sufficient conditions linking polynomial decay o…
This study examines whether the diamond-like semiconductor CdGeAs2 can exist in a glassy state, a possibility previously considered unlikely for tetrahedrally coordinated semiconductors. The authors compare infrared reflection spectra of crystalline and glassy CdGeAs2 over 2 to 60 micrometers at 295…
This paper investigates the physical nature of bead lightning as a localized, long-lived afterglow of a discharge channel, using laboratory spark discharges in different gases, pressures, and capacitor-bank energies. Time-resolved photography, high-speed cinematography, photomultiplier measurements,…
The paper addresses the synthesis of uniaxial regular gear mechanisms when a prescribed system of link connections must be realized, a task complicated by the need to enumerate spatial arrangements without missing equivalent or obstructed variants. It introduces combinatorial schemes that record cyc…
The paper studies functional relations between operators of the form B equals a function of A, focusing on concave and related functions of a positive self-adjoint operator beyond the Hilbert space setting. Using Lorentz spaces and a generalized moment inequality for Phi-functions, it establishes bo…
This paper studies the radial Dirac equation with a Coulomb singularity perturbed by an integrable potential, focusing on analytic properties of the coefficient governing asymptotic behavior of its solutions. Under regularity and decay assumptions on the perturbation, it proves analytic continuation…
This paper studies linear isometries between spaces of summable analytic and harmonic functions on bounded planar domains, focusing on the cases \(L_a^p(D)\), \(L_h^p(D)\), and Smirnov spaces \(E^p(D)\) for \(p \ne 2\). It develops a general representation theorem for isometric operators on subalgeb…
The paper studies how imposing bounds on running time affects the representation complexity of normal algorithms. It formulates estimates for algorithms deciding applicability to words of bounded length, for algorithms recognizing M-noncomputability of Boolean functions, and for algorithms minimizin…
This paper examines sectorial growth in synthetic cubic boron nitride crystals produced under high-pressure and high-temperature conditions designed to create a mobile saturated gaseous phase in the reaction volume. Platy and tabular crystals were studied by stereoscopic, polarizing, and metallograp…
The paper develops a method for realizing spaces of regular functionals on K-spaces by embedding their maximal extensions into a common extended K-space of continuous extended-valued functions. It defines a notion of disjointness for functionals on different normal subspaces and proves the existence…
This paper studies the complexity of normal algorithms that decide, on all words up to a given length, whether another algorithm is applicable. It defines lower and upper estimates for such resolving algorithms and proves that, for any nondecreasing general recursive function bounded by the identity…
This paper studies finite p-groups through enumeration of subgroups, normal subgroups, and epimorphic images, with emphasis on deriving existence results from congruences for subgroup counts. It proves divisibility and congruence theorems for subgroups of prescribed order, exponent, and structure, i…
The paper studies the Green matrix for an inhomogeneous boundary-value problem for general parabolic systems in the sense of Petrovskii, with zero initial condition and prescribed boundary data. Using methods developed for elliptic Green functions and parabolic potential kernels, it defines a princi…
