SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25456 full-text translations 14926 English PDFs 22540 abstracts
Showing 50 of 25456 papers
This paper examines how elastic relaxation stresses influence crystallization in very viscous liquids, where crystal growth may proceed faster than stress relaxation. Treating a growing nucleus as spherical and using elasticity theory together with a relaxation equation for the amorphous phase, the …
This study examines whether 2,3- and 2,5-dihydrofurans, which show different behavior under thermal conditions, can be catalytically dehydrogenated to corresponding furan homologs. Vapors of 2-methyl-4,5-dihydrofuran and 2-ethyl-2,5-dihydrofuran were passed over platinum or palladium on activated ca…
This paper presents a numerical method for solving a hydrodynamic formulation of climate and long-range weather prediction that includes both nonperiodic weather processes and annual-period climatic processes. The method reformulates the heat influx equation and surface boundary condition by separat…
This study examines whether hydrogen has a specific effect on the electrocracking of methane and ethylene, comparing its influence with that of chemically inert argon under static discharge conditions. The authors measured hydrocarbon conversion from pressure changes at varied partial pressures, tot…
This paper examines the temperature dependence of the surface tension of liquid thallium, motivated by difficulties in semiconductor device fabrication and by earlier nonreproducible measurements. The authors describe a sealed rotating glass apparatus enabling maximum pressure measurements either in…
The study examines the catalytic transformation of isopropenylcyclopropane on kieselguhr, comparing its behavior with that of isopropylcyclopropane under similar conditions. Short-duration catalytic experiments at 100 degrees and 150 degrees were combined with gas-liquid chromatographic analysis usi…
The note examines traveling-wave ordinary differential equations arising when discontinuities in quasilinear hyperbolic systems are regularized by viscous terms. Using a specific three-component hyperbolic system, it reformulates smeared shock profiles as trajectories orthogonal, with respect to a p…
The paper proves that for every complete orthogonal system in \(L^2[0,1]\) there exists an \(L^2\) function whose Fourier series can be rearranged so as to diverge almost everywhere. The argument introduces block unconditional bases, transfers a hypothetical unconditional convergence property betwee…
This study addresses the limited and uncertain thermodynamic data for manganese carbides by determining the free energy of formation of the low carbon carbide Mn23C6. A two phase specimen containing Mn23C6 and metallic manganese was prepared by sintering and characterized by X-ray diffraction, then …
The paper studies ordinary differential equations in real Banach spaces, focusing on uniqueness for the Cauchy problem and nonlocal continuability of solutions. It introduces comparison functionals that may be Fréchet differentiable or semidifferentiable, and derives conditions under which estimates…
This paper develops a general vibration theory for shallow elastic-viscous shells and plates made of an isotropic homogeneous Maxwell-type material, using the Love-Kirchhoff hypotheses and small middle-surface displacements. Starting from shell equilibrium equations, constitutive relations with time…
This paper analyzes structural noise immunity in a class of closed dynamic systems with negative feedback, including automatic control systems whose elements may be affected by bounded disturbances at different points in the chain. Using transfer-function relations for disturbed and undisturbed elem…
The paper presents new variants of Linnik’s dispersion method for binary additive problems of the forms involving a structured summand and a product term, with applications to equations containing primes, quadratic forms, and divisor functions. It describes the standard variance scheme, then extends…
This note proves existence theorems for time-periodic solutions of boundary-value problems without prescribed initial data for quasilinear parabolic equations. For one-dimensional equations with nonlinear lower-order terms, it treats Dirichlet, oblique derivative, and dynamic boundary conditions und…
This paper examines the magnetic susceptibility of newly synthesized inner-complex vanadyl compounds with tridentate Schiff-base ligands of the salicylal-o-oxyaniline type. The author argues that such ligands may produce vanadyl complexes with an anomalously low coordination number and compares thei…
The paper studies convergence of residuals for Bubnov-Galerkin and Ritz approximations to linear operator equations in a separable Hilbert space. It extends earlier results for positive self-adjoint operators with pure point spectrum by allowing coordinate systems formed from approximate eigen-eleme…
This paper develops a method for linearizing equations of the plane problem for an ideally plastic body under the Saint-Venant, Mises, and generalized Mises-Schleicher plasticity conditions. Using the Saint-Venant stress function, the equilibrium equations are satisfied identically, reducing the pro…
The paper determines exact upper bounds for best uniform approximation of periodic Hölder classes by trigonometric polynomials. Using reduction to polygonal functions, a comparison with Lipschitz classes, and Favard’s exact result for functions with bounded first derivative, it proves that for \(0<\…
This paper investigates whether alcohols can replace olefins in the acid-catalyzed synthesis of branched carboxylic acids and esters from carbon monoxide. The authors argue that alcohols may form carbonium ions in concentrated sulfuric acid, allowing reaction with carbon monoxide under 60 to 90 atm …
The paper studies the Shannon complexity of Boolean functions realized by circuits and superpositions over bases that include zero weight nontrivial elements and positive weight negation. For a basis with free conjunction, disjunction, and constants, and unit cost negation, it introduces inversion c…
This article presents the Twenty-Second Congress of the CPSU and the new Party Program as a framework for defining the role of science in the construction of communist society. It argues that scientific research should be directed both toward fundamental theoretical advances and toward closer integr…
This note extends an iterative minimal error method from linear operator equations to nonlinear equations in a Hilbert space. For a continuously Fréchet differentiable operator, it constructs successive approximations along the gradient of the residual functional, with a step chosen from an approxim…
This study examines bulk polymerization of heptene-1 using the complex organometallic catalytic system triisobutylaluminum and titanium tetrachloride, as part of an effort to relate alpha-olefin structure to polymer properties. The authors varied catalyst component ratio and temperature, characteriz…
The paper analyzes the propagation of a sufficiently rarefied gas into a vacuum from a point source located on a plane boundary, assuming negligible intermolecular collisions and Maxwellian departure velocities. It formulates the particle density as a solution of an Einstein-Fokker type equation wit…
The paper proposes a generalized lever rule for equilibrium multicomponent heterogeneous systems, extending the ordinary lever rule and the center of gravity rule by treating groups of phases as two coexisting conglomerates. Using barycentric vector relations and mass conservation, it derives analyt…
This paper studies estimates for finite sums of primitive Dirichlet characters modulo composite odd prime powers and applies them to Dirichlet L-series in the critical strip. Using a decomposition of the modulus, expansions of indices modulo prime powers, and Vinogradov’s estimate for trigonometric …
The paper studies boundary value problems for the degenerate elliptic Beltrami operator \(B_k\) in domains adjacent to the axis, with emphasis on the \(E\) problem for \(k>1\) and its variational analogue. It constructs an \(E\)-Green function for a semicircle by using Weinstein’s fundamental soluti…
This study examines how lyophilic colloids influence hydrocarbon solubilization in detergent solutions, focusing on 0.3 M potassium laurinate and sodium naphthenates. Using a volumetric method, the authors compare additions of carboxymethylcellulose, gelatin, casein, saponin, starch, lecithin, and s…
This note studies the regularization of integral equations with Cauchy kernel, including systems, in cases involving open contours or coefficients with discontinuities of the first kind. It shows that the same operator used for closed contours with continuous coefficients also provides left and righ…
This paper examines regularities in the catalytic properties of rare earth oxides, motivated by the availability of purified rare earths and by the possible influence of the gradually filled 4f shell on catalysis. Using flow kinetic measurements for tetralin dehydrogenation and isopropyl alcohol deh…
This paper examines how melt supercooling affects crystal growth by the Czochralski method, with experiments reported chiefly for aluminum doped with trace Cu64 and supported by observations on germanium, silicon, and other metals. Using asymmetric thermal fields, interrupted and continuous rotation…
The paper studies simplification of reduced disjunctive normal forms of Boolean functions by algorithms of finite index, in a setting where no such algorithm can always construct a minimal form. It defines a partial order on algorithms by the amount of simplification they achieve and introduces k-ma…
The paper studies an inverse mixed boundary value problem for an analytic function in a domain whose boundary consists of several prescribed arcs and several unknown arcs, with boundary relations imposed on the former and prescribed values of the function on the latter. For polygonal prescribed arcs…
This paper investigates whether organic semiconductor polymers with conjugated bond systems can act as solid catalysts for vapor and gas phase oxidation and reduction reactions. Two thermally treated polyacrylonitrile samples, one containing a small amount of copper chloride and one copper free, wer…
This paper analyzes how the vibrational substructure of electronically excited molecular states enters the quantum theory of Raman light scattering, especially through the sublevel contributions to polarizability matrix elements. Using the adiabatic and Condon approximations, harmonic oscillator ove…
This paper studies nonnegative convex solutions of the Dirichlet problem for nonlinear elliptic equations involving the Monge-Ampère operator in a bounded convex planar domain with positively curved boundary. Using the normal mapping of convex functions, the authors define an associated solution ope…
This paper studies the extremum problem for the simplest variational functional on a class of curves that may have finitely many jump discontinuities, defining the functional by limiting approximations in which vertical segments are slightly inclined. It introduces a closure of broken-line approxima…
This paper proves global existence and uniqueness for plane nonstationary motions of an ideal incompressible fluid in a bounded domain, allowing vortical mass forces and without smallness assumptions on the data. The argument reformulates the Euler equations through a stream function, establishes a …
The paper studies when locally normal groups can be embedded isomorphically in direct products of finite groups, extending and qualifying earlier results of Chernikov and Hall. It constructs an example showing that, for groups of arbitrary cardinality, the factor group of a locally normal group by i…
This paper studies the resolvent of the Schrödinger operator for a three-particle system with pair interactions, after transformation to momentum variables and separation of center-of-mass motion. It develops a system of operator integral equations, related to the two-body transition operators, that…
This paper examines whether external drift currents associated with the Earth’s radiation belts and magnetic storms can contribute to magnetohydrodynamic self-excitation of the geomagnetic field. It formulates a feedback mechanism in which an external field penetrates the conducting core, convective…
This study examines the addition reactions of germanium hydrides, especially trichlorogermane and triethylgermane, with unsaturated organic compounds and compares their behavior with related silicon and tin hydrides. Trichlorogermane is shown to add readily, often without catalysts, to a range of al…
This paper investigates the mechanism of rectifying action in anodic oxide films on zirconium, focusing on how the oxide, electrolyte boundary affects the film’s electrical properties. Oxidized zirconium electrodes with films of several thicknesses were examined by measuring resistance and capacitan…
This paper examines the ultraviolet absorption spectra of nitro-substituted diphenylmethane and diphenylethane derivatives bearing amino, dimethylamino, hydroxyl, or acetamido donor groups in the other aromatic ring. Using the theory of inductively interacting chromophoric systems, the authors compa…
This paper examines how the degree of trimethylsilyl modification of aerosil surfaces affects adsorption of n-hexane and benzene vapors, focusing on differential heats, entropies, and isotherms. Aerosil samples were hydrothermally treated to smooth and hydroxylate the surface, then reacted with trim…
This study examines calcium germanates as analogues of calcium silicate clinker minerals, with particular attention to dicalcium germanate and the possible formation of tricalcium germanate. Mixtures of calcium carbonate and germanium dioxide were fired at high temperature, rapidly or slowly cooled,…
This paper studies the reconstruction of a rapidly decreasing smooth function in complex, and analogously real, n-dimensional space from its integrals over all lines meeting a fixed curve. Using Fourier transforms, it reduces the problem to determining when associated data on the manifold of such li…
This study examines the low-temperature reduction of copper oxides by gaseous reducing agents, focusing on CuO and Cu2O exposed to carbon monoxide and gas mixtures at approximately 45 to 105 °C. Using weight-loss measurements, gas analysis for carbon dioxide, and X-ray structural analysis, the work …
This paper formulates a general sequential decision problem for Markov processes with partially observed states, control-dependent transition laws, observation functions, admissibility constraints, and an additive loss criterion. Using the theory of conditional Markov processes, it derives a backwar…
This paper studies the asymptotic behavior, as a small parameter tends to zero, of the Green’s function for an ordinary linear differential operator whose highest order terms are multiplied by powers of the parameter. Under assumptions on the reduced boundary value problem and on the roots of the as…
