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
The paper analyzes plane compression of a rigid plastic layer with anisotropic hardening between rough parallel plates, extending earlier ideal plastic and linearized hardening treatments. Using the associated flow law, equilibrium equations, and the Almansi strain tensor, it derives a reduced formu…
This study examines phase equilibria and extraction behavior in the quaternary system lanthanum nitrate, ammonium nitrate, water, and tributyl phosphate at 25 degrees C. Using the extraction-ray method, equilibrium analysis, complexometric determination of lanthanum, radiotracer measurements with La…
This paper studies brittle fracture in an unbounded elastic body containing an inserted or removed material half-plane and subjected to uniform tension perpendicular to it. Using a crack model in which the faces interact through a continuous nonincreasing separation stress, the authors formulate an …
This paper presents a successive approximation method for finding a best approximating polynomial, understood as an element of a finite-dimensional span in a normed space. The method constructs a sequence of auxiliary minimax problems involving finitely many norming functionals, each solvable by lin…
This paper develops chemiluminescent methods for determining absolute termination rate constants of peroxide radicals during low-temperature liquid-phase hydrocarbon oxidation. Using the proportionality between activated chemiluminescence intensity and the square of the peroxide radical concentratio…
This paper examines the solubility of uranyl nitrate and water in tributyl phosphate from 0 to 100 degrees Celsius, addressing discrepancies in earlier reports on the composition and temperature dependence of uranyl nitrate solutions in this solvent. Equilibria were established in thermostatted thre…
This paper estimates gravitational wave emission by a small body moving in the Schwarzschild field of a much larger collapsing star, with attention to how radiation reaction modifies capture and orbital motion near the gravitational radius. Using weak-field radiation formulas extended as order-of-ma…
The paper extends Lax-type convergence theorems for stable difference schemes to broader classes of nonlinear evolution equations in Banach spaces, including equations with a linear principal part and quasilinear equations. It formulates abstract consistency and stability conditions for quotient-spa…
The paper studies Fourier series of continuous functions with respect to the Haar system, focusing on conditions for absolute convergence of Haar Fourier coefficients and the sharpness of such conditions. It establishes criteria involving moduli of continuity and best approximation by Haar polynomia…
The paper establishes Cauchy-type integral representations for analytic functions in domains bounded by smooth or Lyapunov contours, with densities modified by a prescribed Hölder continuous function of given index. Using solvability results for Riemann boundary value problems, including versions wi…
This paper examines why the catalytic activity of KU-2 cation-exchange resin declines during alkylation of phenol and technical cresol mixtures with propylene trimer. The authors compare possible causes, including polymer degradation, chemical reaction of sulfonic acid groups with reactants, and ads…
This paper reports an electron diffraction investigation of the molecular structure of alpha pinene, with particular attention to the arrangement of key carbon atoms, valence angles, and the geometry of the cyclobutane ring. Diffraction patterns of alpha pinene vapor were measured at 40 and 60 kV an…
The paper studies solvability of Cauchy problems for linear and nonlinear evolution equations of arbitrary order in a Banach space. Using semigroup methods, it first establishes a representation and differentiability result for first-order equations generated by semigroups of specified classes, then…
This paper presents a phase compensation method for measuring very short relaxation times in p-n junctions, motivated by the need to study electronic processes in nanosecond transistor electronics beyond the range of earlier phase techniques. The authors combine phase-sensitive detection with a brid…
This study examines how hydrogen content, structure, and magnetic properties relate to the activity of nickel formate catalysts used for fat hydrogenation. Catalysts prepared by thermal decomposition of nickel formate in sunflower oil under hydrogen or nitrogen, and subsequently dehydrogenated or si…
This study examines Sn-119 Mössbauer resonance absorption spectra of asymmetric tetravalent organotin compounds, especially those containing electron-donor substituents, to assess how substituent character affects electric-field gradients at the tin nucleus. Measurements at liquid-nitrogen temperatu…
The paper studies small motions of a heavy viscous incompressible liquid in an open vessel with a free surface, neglecting surface tension, after linearization of the Navier-Stokes equations. Using variational formulations in a Sobolev space of solenoidal velocity fields, auxiliary boundary value pr…
This paper examines the cleavage of siloxane bonds by thionyl chloride under ultrasonic irradiation, using hexaalkyldisiloxanes and chrysotile asbestos as substrates. Sonication at about 20 kHz converted hexamethyldisiloxane to trimethylchlorosilane in 27.5% yield, while hexaethyldisiloxane reacted …
The paper addresses the extension of algebraic homotopy methods beyond polyhedra by proposing universal homotopy groups for arbitrary subcategories of pointed normal spaces. It formulates a system of axioms for a functor to groups, including a Whitehead-type property, compatibility with ordinary hom…
This paper studies analogues of classical horospheres in Grassmann manifolds associated with non-Euclidean projective spaces of index l, focusing on the case where infinitely distant elements represented by generators of the absolute exist. Horospheres are introduced as limits of geodesic spheres wh…
This study examines the electronic structure and bonding of alpha-thiopicolinanilide Cu(II), a monomeric analogue of chelate polymers, using electron paramagnetic resonance spectra in polycrystalline form and in benzene, dioxane, and chloroform solutions. The polycrystalline sample showed an anisotr…
The paper studies an approximate multiple-collocation method for boundary-value problems for linear ordinary differential equations with analytic coefficients depending on a complex parameter. The solution is expanded in functions satisfying the boundary conditions, and the coefficients are determin…
This paper examines ion adsorption at the mercury, aqueous electrolyte interface in concentrated KCl and CsCl solutions, where dilute-solution double-layer approximations and Grahame’s assumption of nonspecific cation adsorption may fail. Electrocapillary measurements with a Gouy electrometer, combi…
The paper studies recovery of an analytic function from the values at a point of its successive generalized derivatives in the sense of Gelfond, generated by a fixed analytic function. It first recalls a uniqueness result for points inside a disk determined by the nearest zero of the generating func…
The paper studies finitely presented groups whose defining relators satisfy a small cancellation condition: overlaps between distinct noninverse relators have length less than one sixth of a relator. It proves strengthened Greendlinger type lemmas for ordinary and circular words, introducing configu…
This paper examines regularities in ionic polymerization by analogy with known inhibition effects in radical copolymerization, where small amounts of a more reactive monomer can retard polymerization of a less reactive one. The authors analyze cationic and coordination-cationic systems in terms of t…
This paper derives equations for irreducible higher order correlation functions in a plasma starting from fluctuation equations for particle distribution functions and electromagnetic fields. By separating cluster contributions and using the decay of correlations at large spatial separations, the au…
This paper reports the synthesis and characterization of four mixed binuclear carbonyl derivatives containing cyclopentadienyl tricarbonyl molybdenum or tungsten bonded to manganese or rhenium pentacarbonyl fragments. The compounds were prepared by reacting sodium salts of cyclopentadienyl tricarbon…
This paper studies when a real equation of the form t3 = f(t1, t2) can be represented by a nomogram of the second kind with a rectilinear t3 scale. Using the associated function M and the Saint-Robert function, it reduces nomographability to solvability of Gronwall’s differential equation and derive…
This paper reports relaxation current oscillations observed in dielectric specimens, chiefly polycrystalline barium titanate, under a direct voltage with asymmetric electrodes. Oscillograms show nonstrictly periodic current pulses whose amplitudes and repetition frequencies are correlated, and chang…
This paper develops a mathematical theory for combustion of condensed systems in which gasification is accompanied by heat release from a first order reaction in the condensed phase, rather than the zero order reaction assumed in earlier models. The authors formulate the steady boundary value proble…
The study examines how ring substituents affect the electrophilic bimolecular substitution reaction of substituted benzylmercury halides with iodine in the presence of cadmium iodide. Kinetic measurements in methanol and dimethylformamide show second-order behavior, but the substituent effects do no…
This study examines the reaction of thionyl chloride with kaolin and chrysotile asbestos as a route to chlorine-containing layered silicate derivatives bearing reactive Si-Cl bonds. Experiments compared ordinary reflux conditions, catalytic addition of stannic chloride, and ultraviolet irradiation, …
This paper extends the authors’ earlier theory of thermophoresis for aerosol particles from the limiting case of vanishing Knudsen number to the first approximation in the ratio of molecular mean free path to particle radius. Using Onsager reciprocity, hydrodynamic flow past fixed spheres in a porou…
This paper investigates pressure pulsations associated with secondary cavitation erosion foci formed downstream of a circular-profile model in bounded flow. Piezoelectric pickups mounted flush with the wall in the secondary erosion zone were used to record pressure pulses and spectra for several flo…
This paper studies a multi-index transportation problem with axial sums, formulated as the minimization of a linear objective over a nonnegative array with prescribed one-dimensional marginal sums. It establishes necessary and sufficient consistency conditions for feasibility, gives a constructive b…
This paper examines a proposed magnetic trap for confinement and accumulation of hot plasma, using a practically realizable approximation to a general time-varying magnetic field: the field of a magnetic dipole. It analyzes calculated trajectories of hydrogen ions at thermonuclear-relevant energies,…
This note extends properties of multiple power series to multiple Hartogs series in bounded complete multiple Hartogs domains. It establishes convergence criteria and coefficient estimates using the quantities defined by suprema of monomials over the domain, then proves isomorphisms between spaces o…
The paper studies a class of ultraparabolic second-order equations in which diffusion acts only in part of the variables while first-order terms couple these variables to the remaining ones. Under nondegeneracy conditions on the coupling matrix and bounded smoothness assumptions on the coefficients,…
This paper formulates a nonstationary one-dimensional model for the development of a convective cloud, treating the cloud column and its subcloud and above-cloud regions within a unified framework. The model couples water content, vertical velocity, cloud and environmental temperature, saturation, d…
This note proves a limiting amplitude principle for exterior boundary value problems for the three-dimensional wave equation with a time-harmonic forcing term, posed outside a smooth star-shaped obstacle. The argument treats Dirichlet, Neumann, and Robin boundary conditions, reducing the time-depend…
This study examines the physicochemical properties of thixotropic and filled iodine, polyvinyl alcohol gels, with attention to how polyvinyl alcohol structure, iodine content, boric acid additives, thermal treatment, and solution aging affect gel formation and mechanical behavior. Using viscosity me…
This paper studies weakly dense subspaces of dual Banach spaces whose associated norm on the original space is not equivalent to the given norm, termed subspaces of characteristic zero. It proves that if a Banach space is isomorphic to a Cartesian product with a nonreflexive factor, then its dual co…
The study examines the reaction of diazoacetic ester with the organosilicon tetraene tetraallylsilane, addressing the limited knowledge of carbene addition to polyene systems. Using copper sulfate catalysis at 100 to 110° with excess unsaturated substrate, carbethoxycarbene was added stepwise to the…
This paper studies a special case of the Behrens-Fisher problem concerning the existence of nonrandomized similar tests, with respect to the unknown variances and common mean, that depend only on the sufficient statistics from two normal samples. By transforming these statistics to two variables on …
The paper examines quasitautomeric transformations of aminotriphenylcarbinols in sulfuric acid, where increasing acid concentration shifts equilibria from colorless ammonium ions to conjugated carbonium ions and, at higher acidity, to protonated carbonium salt forms. Treating the system as a triple …
The paper studies an elliptic first order system in four real variables interpreted through quaternionic notation as an analogue of the Cauchy, Riemann equations. Using a quaternionic form of the Gauss, Ostrogradsky formula and the fundamental solution of the four dimensional Laplacian, it derives C…
This paper examines acetylated glycosyl perchlorates of glucose, galactose, and xylose as reactive intermediates for carbohydrate synthesis. The authors prepare these unstable, explosive syrup-like perchlorates from acetohalogenoses and silver perchlorate, then react them with several alcohols in th…
This note discusses the relativistic collapse of massive nonrotating stars and the observational consequences of gravitational self-closure, emphasizing that for an external observer the approach to the gravitational radius limits observable information about later compression. It argues that collap…
