A. M. BRODSKII, K. P. LAVROVSKII, and V. B. TITOV
This paper examines radiation-thermal cracking in liquid hydrocarbon mixtures, using gas-oil fractions irradiated at elevated temperatures in evacuated quartz ampoules. The authors distinguish three regimes of decomposition and show that above a critical temperature near 600 K the radiation-chemical…
Kh. I. Gildengershel and E. P. Panteleeva
This paper addresses difficulties in preparing cis-diamine platinum compounds from potassium chloroplatinite, where reactions with free amines often give Magnus salt analogues or hydrolysis products instead of the desired complexes. The authors propose replacing potassium with sodium to form concent…
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The paper studies classical solvability of Dirichlet and Neumann boundary value problems for general second order linear elliptic operators whose coefficients may be discontinuous across an interior Lyapunov surface. It formulates transmission conditions for the jump of the solution and its conormal…
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This note continues the author’s development of the method of indexials for locating subgroups of finite groups, focusing on the additional multiplier that appears in earlier existence criteria for subgroups. It introduces primary specially arithmetically closed extensions, chains of such extensions…
S. S. Novikov and Yu. S. Ryazantsev
This paper develops a gas dynamic treatment of the nonrelaxation interaction between weak pressure waves and a flame front, accounting for changes in flame propagation velocity caused by variations of the thermodynamic parameters of the combustible mixture. By linearizing the conservation laws at th…
V. G. MAZ'YA
This paper derives a priori estimates for solutions of second order elliptic equations in finite domains, with coefficients subject to ellipticity and integrability conditions and constants independent of coefficient moduli of continuity. It extends Stampacchia’s estimates by proving endpoint and re…
L. M. KURSHIN
This paper analyzes thermal buckling of multi-spar wing skin panels subjected to nonstationary aerodynamic heating, where the skin heats more rapidly than the spar webs and develops temperature stresses. The author formulates coupled heat-conduction and stability equations, represents temperatures a…
Dzen Tsin-tsun
This paper develops a simplified two-level numerical scheme for applying the complete thermo-hydrodynamic equations to short-range weather forecasting. Starting from equations of motion, continuity, and heat inflow at standard pressure levels, the author derives prognostic equations for mean and she…
G. Pascal
This paper examines transient gas flow in long main pipelines after an instantaneous closure at the terminal valve, focusing on the subsequent pressure recovery and its practical use in pipeline characterization. By neglecting small inertial effects and linearizing the governing unsteady flow equati…
V. A. Koptyug, I. S. Isaev, and N. N. Vorozhtsov
This paper addresses the need for a degradation method that can determine the position of carbon-14 labeling in the benzene ring of toluene, in order to study migration mechanisms in monosubstituted aromatic compounds without the perturbing influence of a second substituent. The authors propose redu…
Kh. L. Arvan, G. A. Korsunovskii, and S. Yu. Lebedev
This study examines the photoreduction of methylene blue, azure I, and thionine adsorbed on weakly scattering aqueous silica sols, using visible and ultraviolet absorption spectroscopy under vacuum illumination and subsequent oxidation by air or ferric ions. The experiments show that methylene blue …
Academician VIKT. I. SPITSYN, L. I. ZEMLYANOVA, I. E. MIKHAILENKO,
This study examines how radioactive radiation emitted by solids affects the surface structure of potassium, magnesium, and barium sulfates and molybdenum anhydride, motivated by earlier observations of altered sorption, solubility, isotope exchange, and catalytic behavior. Using electron microscopy …
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This note studies regularity properties of solutions in the whole space to constant coefficient partial differential equations, using spaces of rapidly decreasing or exponentially growing functions and their duals. It refines hypoellipticity results by showing that growth restrictions on generalized…
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This paper examines the polarographic electroreduction of simple hydrated nickel ions and nickel complexes with pyridine, thiocyanate, and imidazole at a mercury electrode. Using Frumkin’s electrode kinetics and the De Ford and Hume treatment of complex formation, it argues that reduction of complex…
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This paper studies conditions under which functions in analytic or quasi-analytic classes on an interval can be expanded in a quasi-power series generalizing the Taylor series. It refines an earlier expandability theorem by imposing conditions on the logarithmically convex derivative bounds and the …
A. V. KARYAKIN, V. M. KUTORIN, and A. K. CHIBISOV
This study examines whether water is present in chlorophyll as a stoichiometrically bound component and how it interacts with chlorophyll a and b. Purified chlorophyll preparations were analyzed by infrared absorption spectroscopy in solid films and potassium bromide tablets, with spectra recorded b…
E. G. SHUTOV
This paper studies semigroups of one-to-one transformations of an infinite set, especially the full semigroup of injective self-maps and the subsemigroup consisting of maps whose defect has the cardinality of the set. It classifies stable equivalences, normal complexes, ideals, and normal subsemigro…
V. M. TATEVSKII, V. P. SPIRIDONOV, and P. A. AKISHIN
This paper examines regularities in interatomic distances for halide molecules of the form AXn, where the central atom belongs to a given group or subgroup of the periodic system and the ligand atoms are halogens. Using available gas phase structural data, the authors arrange related halides into se…
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This paper examines Lamb’s problem for an internal source in a homogeneous isotropic elastic half-space, motivated by wave motion in soils produced by underground explosions. It represents the surface displacement field as a convolution of an arbitrary source velocity history with the response to a …
V. M. VDOVIN, K. S. PUSHCHEVAYA, N. A. BELIKOVA, R. SULTANOV,
The study examines the reaction of 1,1-dimethylsilicacyclopentane with aluminum halides as an extension of previously observed organosilicon polycondensations involving hydrocarbon bridges between silicon atoms. The authors show that aluminum bromide or chloride induces vigorous polymerization throu…
I. B. Baratashvili, V. P. Fedotov,
The study examines the solubility of nitrogen in liquid manganese, addressing discrepancies among earlier reported values and the experimental difficulties caused by manganese vaporization in hot-volume methods. The authors used a dynamic equilibrium method with nitrogen or nitrogen-hydrogen gas mix…
B. D. Summ, Yu. V. Goryunov, N. V. Pertsov, E. D. Shchukin
This study examines the spreading of mercury over the free surface of zinc in the absence of mechanical stress, motivated by adsorption-induced strength reduction in metals. Experiments on zinc plates and wire, with oxide formation suppressed by aqueous media, compared vertical and horizontal geomet…
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This paper addresses qualitative analysis of electrical circuits containing both contacts and elements of finite conductance, where the task is to determine whether conductance between nodes is zero, finite, or infinite. It models these values using the three-element algebra of Łukasiewicz with max …
V. A. LUNENOK-BURMAKINA, A. P. POTEMSKAYA, and A. I. BRODSKII
This study examines the mechanism of anodic ozone formation from sulfuric acid and bisulfate solutions, using oxygen 18 labeling to trace the sources of oxygen in ozone, anodic oxygen, water, sulfate, and added peroxy compounds. Electrolysis experiments with labeled water, labeled sulfate, concentra…
Corresponding Member of the Academy of Sciences of the USSR R. Kh. Freidlina, V. N. Kost, M. Ya. Khorlina
This study examines rearrangements of radicals formed during benzoyl peroxide initiated homolytic addition of hydrogen bromide to polyhaloalkenes containing dichloromethyl or dichloromethylene groups adjacent to the radical center. Addition reactions of several dichloroalkenes were carried out, prod…
O. A. LADYZHENSKAYA and N. N. URAL’TSEVA
This paper studies boundary value problems for linear and quasilinear parabolic equations in a cylinder, focusing on generalized solutions under weak coefficient assumptions and natural growth conditions. Using integral inequalities for level sets and De Giorgi type iteration arguments, the authors …

The paper examines hydrogenation of unsaturated compounds under near equilibrium conditions achieved by slow, uniform feeding of substrate into the reaction vessel. Using sodium maleate, sodium o-nitrophenolate, and dimethylethynylcarbinol in alkaline and alcoholic media, the authors compare reactio…
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A graphical method for determining densest lattice packings of plane figures is applied to the molecular layers of nickel dimethylglyoximate, using a planar molecular model derived from standard bond lengths, angles, and intermolecular radii. The calculation considers layer cells containing one or t…
B. A. Popovkin and A. V. Novoselova
The study examines the lead selenite, lead oxide system in order to clarify the composition and stability ranges of lead oxyselenites previously observed during oxidation and decomposition reactions. Mixtures prepared from purified lead selenite and lead oxide were equilibrated by annealing and inve…
L. A. LOVACHEV
This paper develops an approximate theory of laminar flame propagation in systems governed by unbranched chain reactions, removing the earlier assumption that the initial reactant concentration can be treated solely as a linear function of temperature. Starting from coupled heat conduction and diffu…
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This study examines the catalytic dehydrogenation of five- and six-membered cyclanes over activated birch charcoal at elevated temperatures. Cyclopentane, methylcyclopentane, cyclohexane, and methylcyclohexane were passed over wood activated carbon under varied temperature, pressure, and feed-rate c…
N. M. POMERANTSEV, V. A. KHRAMCHENKOV, L. V. SUMIN, and A. V. ZIMIN
This study applies fluorine-19 nuclear magnetic resonance to characterize structural changes in perfluorooctadiene and perfluorododecadiene after cobalt-60 irradiation, comparing spectra with those of unirradiated samples. Chemical shifts, measured relative to trifluoroacetic acid, are used to assig…
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This paper studies expansion of functions in quasi-power series on the nonfundamental interval t greater than u, contrasting this problem with earlier results for the interval (0,u]. It introduces a smoothness class defined through iterated differential operators associated with a nondecreasing sequ…
Corresponding Member of the USSR Academy of Sciences N. K. Kochetkov, I. G. Zhukova
This study addresses the difficulty of separating and monitoring cerebroside fractions, for which paper chromatography and earlier column methods gave insufficient resolution. The authors develop thin-layer chromatography on silica gel using anhydrous chloroform and methanol systems, then apply it t…
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This paper addresses the determination of nonradiative transition frequencies between fluorescent, phosphorescent, and normal states of activator molecules in organoluminophores, especially when quenching or temperature changes may alter these rates. Starting from a kinetic scheme with radiative and…
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This paper addresses the computation of the topological index of an isolated fixed point of a completely continuous vector field when the linearization is degenerate. It develops an algorithm that reduces the problem to the rotation of an induced finite-dimensional field on a sphere, after transform…
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This paper reexamines the criterion for superconductivity in the presence of both phonon-mediated attraction and Coulomb repulsion, with particular attention to the damping of one-electron excitations far from the Fermi surface. Using Bogolyubov’s formulation of the Feynman diagram technique and ass…
V. A. IL’IN and I. A. SHISHMAREV
This note studies smoothness properties of generalized potentials associated with a second-order elliptic operator in a bounded domain with an interior separating surface. It formulates transmission boundary-value problems for simple-layer, double-layer, and volume potentials, and proves existence, …
F. I. FRANKL and L. N. GUTMAN
This paper formulates a stationary three-dimensional model for the motion of a cold air layer over complex terrain under adiabatic, inviscid assumptions, with the overlying warm air treated as a prescribed quasi-geostrophic flow. The authors derive simplified depth-dependent equations for the cold l…
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This study examines the stability of chloride acido-complexes of selected fourth-period elements in hydrochloric acid solutions using anion-exchange behavior as an indicator of complex formation. Distribution coefficients and sorption percentages were measured for Ti(IV), Mn(II), Fe(III), Co(II), Ni…
N. N. Kavtaradze, V. I. Lygin
Carbon monoxide adsorption on palladium films and palladium supported on Aerosil was studied over a wide temperature and pressure range using adsorption measurements and infrared spectroscopy. The adsorption data show rapid uptake with two coexisting components: strong irreversible adsorption, which…
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This note studies estimation of the spectral distribution function of a real stationary Gaussian process from a finite discrete-time sample, focusing on the integrated periodogram estimator and its convergence properties. It shows that although the Lévy distance between the estimator and the true sp…
V. G. Boltyanskii
This note studies time-optimal control for differential systems and addresses gaps in the justification of dynamic programming for such systems, especially when the value function is not continuously differentiable. It formulates sufficient conditions for optimality using a refined dynamic programmi…
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The paper derives quantitative estimates for real algebraic hypersurfaces and for derivatives of rational functions in real and complex variables. Using an integral-geometric lemma relating hypersurface measure to intersections with lines, it bounds the size of epsilon-nets, neighborhood volumes, an…
Ya. I. Turyan and A. I. Tsinman
This study examines how hydroxide concentration and alkali cation identity affect oxygen overvoltage at a smooth nickel anode in purified KOH, NaOH, and LiOH at 25 degrees C, over current densities up to 1 A/cm². Polarization curves corrected for ohmic drop show wave-like behavior with distinct kine…
Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV, G. G. PETUKHOV,
This study examines the oxidation of diisopropylmercury, a secondary organomercury compound, by atmospheric oxygen in isopropyl alcohol, carbon tetrachloride, and chloroform. Using carbon-14 labeled diisopropylmercury and labeled isopropyl alcohol, the authors show that oxidation in isopropyl alcoho…
Academician of the Academy of Sciences of the Latvian SSR G. Ya. VANAG and Yu. E. PELCHER
This paper describes the preparation and characterization of a compound combining the indandione-1,3 and barbituric acid structural motifs, motivated by the known physiological activity of indandione derivatives and their resemblance in some effects to barbiturates. After unsuccessful attempts to cy…
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This study analyzes the spatial distribution of interstellar polarization in a selected field of Cygnus using electropolarimetric observations and published polarization data for 196 stars, together with estimates of absorption and distance for hot stars. The author refines the identification of sev…
E. G. GLADYSHEV
The paper studies discrete random sequences whose means and covariance functions are periodic in time, and characterizes when a proposed periodic covariance representation can arise from such a sequence. By reducing the problem to the correlation matrix of a finite-dimensional stationary sequence, i…
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This paper proposes a structural model for liquid water based on the predominance of mirror-symmetric, or cis, hydrogen bonds rather than on a disordered variant of the ice lattice. Using stereochemical constraints on bond linearity, bond length, tetrahedral angles, and maximization of cis-bonds, it…