Showing 50 of 25456 papers

On the fundamental solution of a parabolic equation

A. M. Il'in
1962 SovietRxiv: ru-196201.42494

The paper examines whether parabolic equations with merely continuous bounded coefficients admit fundamental solutions having the usual boundedness properties away from the initial time. It constructs a one-dimensional uniformly parabolic equation with continuous coefficient \(a(t,x)\), bounded betw…

On a Class of Systems of Quasilinear Diffusion Equations

V. N. MASLENNIKOVA
1962 SovietRxiv: ru-196201.42460

The paper studies the first boundary value problem for a coupled system consisting of a quasilinear parabolic diffusion equation and an ordinary time evolution equation, motivated in part by neutron diffusion with delayed neutrons. Under monotonicity and Lipschitz assumptions on the coupling terms, …

Influence of Microrelief on the Patterns of Liquid Metal Spreading over a Solid Metal Surface

Yu. V. GORYUNOV, N. V. PERTSOV, B. D. SUMM, E. D. SHCHUKIN
1962 SovietRxiv: ru-196201.42418

This paper examines how surface microrelief affects the propagation of liquid mercury over oxide-free zinc, distinguishing viscous spreading of a liquid phase layer from surface diffusion of adsorbed atoms. Experiments comparing smooth and nitric-acid-etched rough zinc surfaces show that smooth surf…

NEW MATERIALS ON THE DEVELOPMENT OF A NEGATIVE SPARK AND ITS COMPARISON WITH LIGHTNING

I. S. Stekol'nikov and A. V. Shkilev
1962 SovietRxiv: ru-196201.42330

Using an electron-optical converter with light amplification, the authors examine the development of negative impulse sparks in rod to plane and rod to rod-on-plane gaps at voltages near the minimum breakdown value. The observations resolve a stepwise negative leader process, associated impulse-coro…

On Integral Operators in Orlicz Spaces

Unknown
1962 SovietRxiv: ru-196201.42306

This paper studies integral operators with kernels satisfying two Orlicz type integral bounds on bounded sets, seeking criteria for their continuity and complete continuity between Orlicz spaces. It develops comparison conditions on the defining functions, including complementary functions and Delta…

Study of the uranyl nitrate–water–nitric acid–tributyl phosphate system in the phase separation region

Unknown
1962 SovietRxiv: ru-196201.42201

The paper examines extraction equilibria in the quaternary system uranyl nitrate, water, nitric acid, and tributyl phosphate at 22 ± 1 °C in the region of phase separation. Using phase equilibration, potentiometric analysis, and physicochemical diagramming in a tetrahedral composition space, the aut…

X-ray Study of Potassium and Rubidium Octafluororhenates

E. G. IPPOLITOV and P. A. KOZ’MIN
1962 SovietRxiv: ru-196201.42082

Potassium and rubidium octafluororhenates were examined by X-ray powder diffraction, oscillation radiography, and reciprocal lattice radiography to characterize their crystallographic properties and compare the two salts. The study found orthorhombic unit cells for potassium octafluororhenate with p…

Stepwise Chromatography

A. A. Zhukhovitskii, N. M. Turkel'taub
1962 SovietRxiv: ru-196201.41866

This paper proposes stepwise development chromatography as an isothermal gas chromatographic method suited to automatic control and impurity analysis, where stable detector signals and preservation of initial sample concentrations are required. The authors derive conditions for maintaining and separ…

Elementary elastoplastic deformation in torsion of a rod with a shallow longitudinal groove on its surface

Academician of the Academy of Sciences of the Kirghiz SSR M. Ya. Leonov, N. Yu. Shvaiko
1962 SovietRxiv: ru-196201.41805

This paper analyzes the local elasto-plastic stress state that develops during torsion of a rod with a small semicylindrical longitudinal surface groove, assuming a strain-softening material. The grooved rod is modeled near the recess as an elastic half-space with a semicylindrical notch, and the el…

On the Completeness of Systems of Analytic Functions Composed of Solutions of Second-Order Differential Equations

Unknown
1962 SovietRxiv: ru-196201.41606

The paper studies completeness of systems of analytic functions formed from solutions of second order differential equations with a spectral parameter, under initial conditions given by entire functions of exponential type. By transforming the general equation to a normal form and applying a transfo…

Rapid Chemical Processes at Low Temperatures

Unknown
1962 SovietRxiv: ru-196201.41508

This study examines whether rapid low temperature reactivity previously observed for chlorine addition to olefins extends to other industrially relevant addition and exchange substitution reactions. Using purified reagents in a high vacuum apparatus and differential thermographic recording during co…

STUDY OF ELEMENTARY REACTIONS OF TRITIUM-ATOM ABSTRACTION FROM PENTATRIACONTANE-18*t* BY CYCLOHEXYL AND HEPTYL FREE RADICALS IN THE LIQUID PHASE

The rate of free-radical substitution reactions
1962 SovietRxiv: ru-196201.41430

This study develops and applies a radiochemical method for evaluating the reactivity of liquid-phase free radicals through the ratio of the tritium abstraction rate constant to the square root of the radical recombination constant. Cyclohexyl and heptyl radicals were generated in cyclohexane and hep…

On the Calculation of the Limiting Shear Stress of Suspensions with Particles Possessing a Rigid Dipole Moment

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1962 SovietRxiv: ru-196201.41418

This paper develops a simple energetic estimate for the dynamic yield shear stress of suspensions whose colloidal particles possess rigid electric dipole moments. Assuming a locally ordered, cubic-like arrangement of dipolar particles, the authors relate the work required to shear adjacent particle …

On finite $\Pi$-conjugacy of groups

B. V. KAZACHKOV
1962 SovietRxiv: ru-196201.41398

This note studies conjugacy of Sylow subgroups associated with an arbitrary set of primes in infinite groups, introducing the property of finite Pi-conjugacy: if one finite conjugacy class of Pi-Sylow subgroups exists, then all Pi-Sylow subgroups are conjugate. The main tool is a lemma reducing this…

Some covering theorems for univalent functions

G. V. KUZ’MINA
1962 SovietRxiv: ru-196201.41324

This paper proves sharp covering theorems for classes of univalent functions in the unit disk that omit two prescribed points of equal modulus. Using properties of extremal univalent mappings, Lavrent'ev’s inverse-function representation, and elliptic functions, it derives an optimal lower bound for…

Multiple Formation of Nucleon Pairs and Supernova Outbursts

Unknown
1962 SovietRxiv: ru-196201.41319

This paper proposes that during hydrostatically unbounded gravitational contraction of massive stellar cores, thermal energies near the gravitational radius can enable multiple production of nucleon and antinucleon pairs by neutral pion processes. Using detailed equilibrium and an ideal nondegenerat…

Study of the Mössbauer Effect in Tin Compounds

Corresponding Member of the Academy of Sciences of the USSR V. I. GOLDANSKII, G. M. GORODINSKII,
1962 SovietRxiv: ru-196201.41180

This study examines the Mössbauer effect in tetravalent tin compounds, focusing on how electron-shell structure, bond ionicity, and local electric-field gradients influence recoil-free gamma transitions in tin-119. Measurements of symmetric tin halides, tin dioxide, tetraphenyltin, and organotin com…

Asymptotic Behavior of Solutions of a Second-Order Linear Differential Equation in a Banach Space as the Small Parameter at the First and Second Derivatives Tends to Zero

L. A. GROZA
1962 SovietRxiv: ru-196201.41129

The paper studies the singular limiting behavior of solutions to a second order linear homogeneous ordinary differential equation in a Banach space, where a small parameter multiplies both the first and second derivatives. Under boundedness and smoothness assumptions on the operator coefficient, the…

Alkylation of 1,1,3-trimethyl-3-phenylindane with olefins in the presence of the $\mathrm{BF}_3\cdot\mathrm{H}_3\mathrm{PO}_4$ catalyst

S. V. Zavgorodnii
1962 SovietRxiv: ru-196201.41011

This study examines the alkylation of 1,1,3-trimethyl-3-phenylindane, obtainable from waste alpha-methylstyrene, with propylene, isobutylene, and cyclohexene using a boron fluoride, orthophosphoric acid catalyst. Experimental variation of reactant ratios, catalyst amount, temperature, and reaction t…

On the asymptotics of the solution to an axisymmetric contact thermoconvective problem for large values of the convective parameter

L. I. RUBINSTEIN
1962 SovietRxiv: ru-196201.40778

This paper studies the large convective parameter asymptotics of the solution to an axisymmetric thermoconvective contact boundary value problem previously represented by double Laplace, Carson and Hankel transforms. For the case of unit diffusivity parameter and integer convective parameter, an exa…

Effect of the Nature of the Second Glass-Forming Oxide on the Sodium and Potassium Electrode Functions of Silicate Glasses

B. P. NIKOL’SKII, M. M. SHUL’TS, and A. A. BELYUSTIN
1962 SovietRxiv: ru-196201.40673

This study examines how the second glass-forming oxide affects the sodium and potassium electrode functions of alkali silicate glasses of the type Na2O, RxOy, SiO2, with R including boron, aluminum, gallium, ferric iron, and tin. Electromotive-force measurements were made in sodium chloride, potassi…

Study of Solar X-ray Radiation During the Total Solar Eclipse of February 15, 1961

S. L. MANDELSTAM, Yu. K. VORONKO, I. P. TINDO, A. I. SHURYGIN, and B. N. VASILIEV
1962 SovietRxiv: ru-196201.40653

This paper reports rocket-borne measurements of solar X-ray radiation at wavelengths shorter than 10 Å during the total solar eclipse of February 15, 1961. Using two photon counters with different spectral sensitivities to distinguish X-rays from possible corpuscular fluxes, the authors derived an a…

Oxidative dehydropolycondensation of 2,6-dimethyl-3,5-diethynylpyridine and 9,10-diethynyl-9,10-dihydroxy-9,10-dihydroanthracene

V. V. Korshak, A. M. Sladkov, and Yu. P. Kudryavtsev
1962 SovietRxiv: ru-196201.40575

The study examines oxidative dehydropolycondensation of substituted diacetylenes as a route to high molecular weight products containing conjugated acetylenic bonds, with particular attention to obtaining soluble polymers. The authors synthesized 9,10-diethynyl-9,10-dihydroxy-9,10-dihydroanthracene …

On the formation of a microporous structure during the thermal decomposition of Saran

A. A. Tager, M. V. Tsilipotkina, D. M. Romanova, and
1962 SovietRxiv: ru-196201.40210

This study examines how microporous structure develops during the thermal decomposition of saran, a vinylidene chloride and vinyl chloride copolymer, as it is converted toward carbon. Samples heated to successive final temperatures were characterized by mass loss, interpreted mainly as hydrogen chlo…

On a Higher-Order Partial Differential Equation

Unknown
1962 SovietRxiv: ru-196201.40123

The paper studies a Cauchy problem for a higher order partial differential equation in one complex and one real variable, extending earlier work in which the highest order part had constant characteristic structure. For the third order case, the author analyzes the characteristic surfaces determined…

On homogeneous finite-difference schemes

Unknown
1962 SovietRxiv: ru-196201.40036

The paper develops homogeneous finite difference schemes for the Poisson equation in two spatial variables with piecewise constant coefficients and interface conjugation conditions. Using an integral balance formulation, it derives grid equations for rectangular, hexagonal, and triangular meshes tha…

Finite ring groups

Unknown
1962 SovietRxiv: ru-196201.40000

This note develops the algebraic theory of finite ring groups, focusing on homomorphisms, subgroups, quotient groups, and their behavior under duality. It defines subgroups via central projectors satisfying compatibility conditions, factor groups via invariant Neumann subrings, proves an analogue of…

On the Growth of Harmonic Functions of Three Variables

Unknown
1962 SovietRxiv: ru-196201.39955

This note studies the asymptotic growth of harmonic functions of three variables in unbounded domains contained in a rectangular half-cylinder. Building on an earlier result for half-cylinders, it proves a partial extension to arbitrary infinite three-dimensional domains whose boundary satisfies uni…

Study of the Mechanism of Propylene Oxidation on Copper Catalysts by Separate Calorimetry

N. I. Popova, V. P. Latyshev
1962 SovietRxiv: ru-196201.39730

This study examines the mechanism of propylene oxidation on copper catalysts using Koval’skii’s method of separate calorimetry, with particular attention to the temperature-dependent formation of carbon dioxide. Measurements of temperature differences between the catalyst surface, reactor volume, an…

On the Uniqueness of Generalized \(L_2\) Solutions of the Simplest Problems of Mathematical Physics

A. E. ZOLOTAREV
1962 SovietRxiv: ru-196201.39597

The paper proves uniqueness of generalized L2 solutions for basic boundary value problems of mathematical physics in arbitrary bounded connected domains, removing earlier smoothness assumptions on the boundary. The main argument is developed for the mixed problem for the wave equation with homogeneo…

Formal Redox Potentials of Monosubstituted Ferrocenes

Unknown
1962 SovietRxiv: ru-196201.39488

This study examines how substituents affect the oxidation of the ferrocene nucleus to the ferricinium cation, using formal oxidation reduction potentials as a quantitative measure of electronic influence. Potentiometric titration with potassium dichromate in acetic acid and hydrochloric acid was app…

Effect of the Double Layer on Polarographic Volume Catalytic Waves of Hydrogen

V. G. LEVICH, B. I. KHAIKIN, and S. G. MAIRANOVSKII
1962 SovietRxiv: ru-196201.39451

This paper analyzes how the diffuse double layer affects polarographic bulk catalytic hydrogen waves, particularly for pyridine systems in which protonation and regeneration reactions occur in solution rather than by adsorption at the electrode. The authors formulate transport and reaction equations…

Catalytic acetylation of polyoxy compounds in the presence of magnesium perchlorate

Yu. A. ZHDANOV, T. N. DOROFEENKO, and G. A. KOROLCHENKO
1962 SovietRxiv: ru-196201.39443

This paper examines magnesium perchlorate as a catalyst for acetylating polyhydroxy compounds with acetic anhydride, motivated by limitations of conventional acid catalysts such as resinification and poor product formation in some substrates. The authors apply the method to hexitols, cyclitols, mono…

Estimation of the relaxation time of carbon dioxide dissociation from shock tube experiments

T. V. BAZHENOVA
1962 SovietRxiv: ru-196201.39361

This paper estimates the relaxation time for carbon dioxide dissociation using shock-tube measurements of reflected shock waves in carbon dioxide containing a small amount of water vapor. The analysis compares observed reflected-wave velocities with values calculated for frozen and equilibrium disso…