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 note studies the asymptotic behavior of generalized solutions to a nonlinear parabolic boundary value problem in a bounded smooth domain, where the linear elliptic part satisfies standard ellipticity and complementing boundary conditions and the nonlinearity is Lipschitz with time-dependent con…
This note studies weak generalized solutions of the third boundary value problem for a general second order linear parabolic equation with measurable bounded coefficients and data in square integrable classes. It defines the solution by an integral identity including boundary values, then states an …
This paper applies earlier results on the local structure of Darboux surfaces to infinitesimal bendings of surfaces, considering both local and global questions. For surfaces of positive curvature, it proves several uniqueness criteria showing when prescribed behavior of associated bending fields on…
This study examines heterogeneous equilibria in quaternary systems containing potassium, rubidium, or cesium halides with antimony(III) chlorides or bromides in aqueous hydrochloric or hydrobromic acid. Solubilities were measured isothermally at 25 degrees C at several fixed acid concentrations, and…
This paper studies analogues in \(L_p\) metrics of Favard-type inequalities relating the approximation of a periodic function by Fourier partial sums or trigonometric polynomials to the corresponding approximation of its derivative. It proves an \(L_p\) estimate for the deviation of a function from …
This paper studies boundary value problems for operators of the form du/dt minus A in a Hilbert space, where A is an unbounded normal operator, with emphasis on constant coefficient differential operators on the torus. It analyzes scalar boundary conditions relating the values at t = 0 and t = a, es…
This paper studies almost everywhere summability of Fourier series in eigenfunctions of the Laplace operator on an arbitrary multidimensional domain under boundary conditions yielding a complete orthonormal eigenfunction system. It proves that for every function in \(L_2(g)\), the eigenfunction expa…
This study examines the products formed in the reaction of alpha-(2-chloroethyl)-beta-chlorocrotonaldehyde with hydrochlorides of aromatic amines, focusing on the structure of Schiff bases of N-arylpyrrolines. The authors prepared a series of derivatives, separated principal and minor products by ch…
This paper reports an experimental attempt to obtain stimulated near-infrared emission from cadmium telluride under pulsed fast-electron excitation. Small p-type CdTe crystals at 10 to 15 K were irradiated with 150 keV electron pulses, and emission from polished lateral faces forming an optical reso…
The paper studies the countably normed algebra of entire functions of order at most one and minimal type, with norms defined by exponential bounds, and asks for a description of its nontrivial closed ideals. It proves that every such ideal consists exactly of the functions vanishing, with prescribed…
This study examines why phenol yields increase during radiolysis of aerated sulfuric acid aqueous benzene solutions containing ferrous ions. Using cobalt-60 gamma radiation and 0.9 MeV electrons, the authors measured the formation of ferric ions, phenol, and muconic dialdehyde as functions of ferrou…
This study examines the thermodynamics of hydration of KU-2 sulfonic cation-exchange resin in H, K, Na, and Ca forms, using samples with 4% and 20% divinylbenzene cross-linking. Water vapor sorption isotherms, heats of wetting, and derived thermodynamic functions were used to estimate monolayer capa…
This paper studies the behavior of solutions to the incompressible Navier-Stokes equations in a bounded domain as viscosity, equivalently the Reynolds number, passes through a critical value. The problem is reduced by expansion in eigenfunctions of the Stokes operator to an infinite system of ordina…
The paper studies the local behavior of holomorphic and meromorphic functions near an essential singularity through sequences of points on which the function assumes almost all values in shrinking neighborhoods. It introduces and extends notions of M and mu point sequences with a scale parameter p, …
This paper develops a simplified kinetic description for irreversible reactions occurring in polymer chains when the rate constant for a unit depends on whether zero, one, or two neighboring units have already reacted. Using a sequence-based representation of copolymer chain structure, the author re…
This note studies how equi-morphisms of hyperbolic spaces act on the sphere at infinity, especially with respect to tangency in the spherical Poincaré model. It proves that tangency of a curve in hyperbolic space to the sphere at infinity is invariant under equi-morphisms, using a characterization b…
This addendum clarifies Delone’s method for setting a crystal lattice by giving explicit rules for expressing the vectors of a crystallographic Bravais frame in terms of vectors obtained from an initial fundamental frame through Selling reduction. It specifies corrections to the reduction procedure,…
This study examines the role of water in the stereospecific polymerization of butadiene in aqueous emulsion initiated by rhodium chloride, a reaction known to yield highly trans-1,4-polybutadiene but with an uncertain mechanism. Using tritiated water as an isotopic label, the authors measured radioa…
This paper examines the range of validity of the quadratic Mott-Gurney law for space-charge-limited emission currents in dielectric films, a central question in dielectric electronics. Starting from the exact drift-diffusion formulation for a dielectric layer between metallic contacts, the authors c…
This paper describes the use of a traveling-wave quantum paramagnetic amplifier in an 8 cm radio-astronomical radiometer to improve sensitivity at centimeter wavelengths. The authors present the amplifier and radiometer design, including a ruby active medium operated at liquid-helium temperature, me…
This note studies a class of Post calculi defined by productions of types I and IIa, motivated by their relation to formal languages, finite automata, and a conjecture of Büchi. After recalling definitions and known results on normal calculi and calculi with type Ia productions, it proves that every…
This study examines how common inhibitors affect ethylene polymerization on supported chromium oxide catalysts, focusing on pentavalent chromium ions identified as active centers. Using electron paramagnetic resonance spectra of activated chromaluminosilicate catalysts treated with water, butanol, b…
This paper examines an effect observed when nuclear reactions or charged-particle scattering occur in single-crystal targets, where the ordered arrangement of nuclei produces local distortions in angular distributions near crystallographic axes. The author develops estimates for the angular size of …
This note studies the local extrinsic geometry of the Darboux surfaces associated with an infinitesimal bending of a positively curved surface of class \(C^{n,\alpha}\). Using local coordinates, properties of the bending and rotation fields, and Stoilow’s theory of interior mappings, it analyzes the…
This paper studies the branching of an irreducible finite-dimensional representation of a complex reductive Lie algebra when restricted to a regular reductive subalgebra of the same rank. Using character identities, Kostant’s weight multiplicity formula, and finite difference operators applied to pa…
This note studies when applying the inverse limit and its right derived functors to an exact sequence of inverse spectra of abelian groups preserves exactness. Using homological algebra, it constructs a spectral sequence with second term given by the homology of the complexes formed from the derived…
Phase equilibria in the sodium borohydride, hydrazine system were investigated by differential thermal analysis over the range from minus 120 to 80 degrees C and from 0 to 85.5 wt.% sodium borohydride. The study identifies four solvated compounds, NaBH4·2N2H4, 2NaBH4·N2H4, NaBH4·N2H4, and NaBH4·6N2H…
This study examines the vapor-phase molecular structure of N-dimethylaniline, with particular attention to the configuration of the trivalent nitrogen atom and the rotational arrangement of the dimethylamino group relative to the phenyl ring. Electron diffraction patterns were recorded at two camera…
This paper studies the behavior at infinity of polynomials in real variables with parameter-dependent coefficients, using the Newton polyhedron associated with the set of nonzero monomials. It introduces principal faces, completeness, and nondegeneracy, and proves that for complete nondegenerate pol…
This paper explores the use of the Wittig reaction as a route to C-substituted carbohydrate derivatives that are difficult to obtain by organomagnesium methods, especially when functionalized aglycone fragments are required. Acetylated aldehydo forms of D-glucose, D-galactose, and D-mannose were con…
This paper studies convergence criteria for sequences of positive linear functionals and operators in Banach spaces ordered by a cone, extending Korovkin-type results beyond spaces of continuous functions. It introduces smoothness points of a cone and saturated, uniformly saturated, and completely s…
This paper examines the mechanism by which radicals in irradiated proteins recombine in the presence of oxygen, with particular attention to whether the process includes chain oxidative recombination rather than only direct peroxide radical termination. Casein and bovine serum albumin were gamma irr…
This paper reports measurements of stimulated conductivity and electroluminescence in sandwich cells made from sublimated zinc sulfide films at 77 K. The authors examine current-voltage and brightness characteristics under high applied voltage and after ultraviolet irradiation, finding that above a …
The paper proposes analogues of the classical classes of analytic functions A, D, and Hδ on open hyperbolic Riemann surfaces whose ideal boundary is described by Martin compactification and is largely attainable by Green lines. It defines surfaces with univalently attainable boundary, constructs ass…
This paper reports an experimental study of turbulent flow of an electrically conducting liquid in a pipe subjected to a longitudinal magnetic field, a configuration in which the field primarily affects velocity fluctuations through Joule dissipation. Using a gallium loop with stainless steel pipes …
This paper studies the asymptotic behavior of classical Green functions for a gas of elastic spheres, starting from a previously derived closed kinetic equation for the basic Green function. It first treats a short path regime by successive approximations, obtaining an explicit damped form and an as…
Polymorphic transformations in octahydroanthracene, orcin, and carbon tetrabromide are examined to determine whether the mechanism previously observed in n-dichlorobenzene is more general for organic molecular crystals. Using Laue X-ray photography and optical polarizing microscopy under controlled …
This paper reports a hysteresis effect observed in the reverse current-voltage characteristics of diffusion silicon p-n junction photodiodes at sufficiently large voltages, both in darkness and under illumination. The authors describe steady-state and pulsed measurements at different temperatures an…
This paper constructs a complete holomorphic family of deformations of a holomorphic principal fiber bundle with compact base and complex structure group. Using differential forms with values in the adjoint bundle, the deformation problem is expressed through the integrability equation for a form of…
This paper examines diffusion in polyisobutylene, solvent systems, with emphasis on relating interdiffusion, one-sided diffusion, and self-diffusion coefficients for low-molecular solvents in a polymer medium. Using an interference micromethod, concentration profiles were measured for polyisobutylen…
This study examines the basicity of phosphotungstic and silicotungstic heteropoly compounds by infrared spectroscopy, with particular attention to spectral evidence for oxonium ions and strongly hydrogen-bonded water. The authors prepared several acids and sodium or barium salts, recorded spectra in…
This paper analyzes the experimental entropy of activation for hydrogenation of carbon monoxide and carbon dioxide to methane on a nickel containing catalyst under conditions where side processes are negligible. Using transition state theory and reported kinetic data, the authors compare activation …
This paper derives elementwise upper estimates for the spherical matrix norm, or spectral norm, and for the corresponding logarithmic norm, without using the block decompositions employed in earlier work. It presents a general comparison principle based on bounds for the spectral radius of positive …
This paper examines why anionic forms of cyclopentene-4-dione-1,3 and indandione-1,3 derivatives show unusually deep coloration and long-wavelength absorption compared with typical beta-diketone anions. Using LCAO molecular orbital calculations in the Hückel approximation, the authors compare transi…
The paper develops an asymptotic averaging method for calculating oscillatory regimes in nonlinear, generally non-Hamiltonian systems subject to small perturbations and slowly varying parameters. Assuming that an integral of the unperturbed periodic system is known, the authors introduce amplitude c…
This paper examines the proposed existence of a sharp secondary pressure maximum in a lubricating layer between deforming surfaces, a feature previously hypothesized to affect fatigue strength through stress concentration. Using a refined integral equation for the pressure function and associated hy…
