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This paper develops a theoretical estimate of how descending convective jets differ from ascending spontaneous jets in unstable atmospheric layers whose instability varies with height. Using simplified convection and boundary-layer equations for an axisymmetric jet, the authors reduce the problem to…
R. V. Jagatspanyan, M. T. Filippov, G. V. Motsarev, V. I. Zetkin, V. R. Rozenberg
This study examines radiation-induced chlorination of selected organochlorosilanes and organopolysiloxanes using cobalt-60 irradiation, comparing product distributions and kinetic behavior across aliphatic and aromatic silicon compounds. Experiments on methyltrichlorosilane and dimethyldichlorosilan…
S. V. NATANSON, N. S. SPASSOKUKOTSKII, E. S. KOZLOVA
This study examines whether the J-bands observed in aqueous solutions of cyanine dyes arise from polymolecular dye states in the bulk solution or from adsorption at solid surfaces. Absorption spectra of several carbo- and monomethinecyanine dyes were measured in layers of different thickness and in …
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L. M. KOGAN, N. S. RABOVSKAYA, S. I. VOLFKOVICH
This study examines the gamma radiolysis of tetrachloroethylene and hexachlorobutadiene, highly chlorinated unsaturated hydrocarbons known for substantial chemical stability under conventional conditions. Samples were irradiated with cobalt-60 over a range of high doses, and products were characteri…
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The paper develops a finite-dimensional algebraic model for quantized wave fields by relating creation and annihilation operator algebras to a generalized theory of real spinors. It constructs real matrix generators satisfying Clifford-type relations, derives fermionic anticommutation relations from…
A. N. Frumkin
This paper examines how electrode potential affects the adsorption of organic substances on metals capable of adsorbing hydrogen, a problem relevant to corrosion inhibition and anodic oxidation mechanisms. Using a thermodynamic treatment based on the Gibbs adsorption equation for a hydrogen electrod…
N. N. ANUCHINA
This note develops several finite difference schemes for the Cauchy problem for linear symmetric hyperbolic systems with square-integrable initial data in multiple space variables. The schemes use decompositions of the coefficient matrices into positive and negative characteristic parts, product or …
K. A. Avduevskaya, I. V. Tananaev, V. S. Mironova
This paper reports the preparation and characterization of a previously undescribed germanium arsenate, motivated by analogy with known germanium phosphate compounds. Reaction of germanium dioxide with concentrated arsenic acid produced a finely crystalline hydrate whose composition, thermal behavio…
In the present note a theorem is proved on the uniqueness of the solution of an inverse problem for the wave equation.
This note proves a uniqueness theorem for an inverse problem for the two-dimensional wave equation with spatially varying coefficient \(n(x,y)\), assumed positive, continuous, and equal to one outside a bounded domain. The data consist of a family of solutions generated by point-source initial veloc…
V. D. REPNIKOV
The paper studies uniform stabilization as time tends to infinity for solutions of the Cauchy problem for Petrovskii parabolic systems with coefficients independent of spatial variables. Using Green matrix estimates and the Poisson integral representation, it proves that such a solution stabilizes u…
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This note gives a rigorous proof of the linear instability of Poiseuille flow in a plane channel by studying the Orr, Sommerfeld eigenvalue problem for complex wave speed. After transforming the problem near a critical point, it constructs smooth inviscid and boundary-layer fundamental solutions, de…
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Paramagnetic relaxation in aqueous gadolinium nitrate solutions was investigated using Q-meter measurements of absorption in parallel and perpendicular fields at concentrations from 0.5 to about 4 mol/l and temperatures from 293 to 368 K. The study determined spin-lattice and spin-spin relaxation ti…
Corresponding Member of the Academy of Sciences of the USSR M. F. Shostakovskii, A. S. Atavin,
This study examines the reactivity of chloral hydrate, as a hydrated aldehyde, toward simple vinyl ethers and explores the synthesis of new chloral and acetaldehyde mixed acetal derivatives. The authors show that chloral hydrate adds readily to vinyl ether double bonds through one or both hydroxyl g…
S. I. AL′BER
The paper studies the space of unoriented loops based at a point on a Riemannian manifold homeomorphic to an n-dimensional sphere, motivated by improving variational estimates for geodesic loops beyond those obtained from oriented loop spaces. Using spectral sequence methods and explicit cycle const…
G. L. Slonimskii, V. V. Korshak, S. V. Vinogradova, A. I. Kitaigorodskii, A. A. Askadskii, S. N. Salazkin, E. M. Belavtseva
This paper investigates the brittleness of amorphous polyarylate F-1 and relates it to the polymer’s supramolecular organization rather than solely to macromolecular chemical structure. Electron microscopy showed that material synthesized in ditolylmethane, a nonsolvent for the polymer, forms globul…
T. G. BABUNASHVILI
This paper addresses the synthesis of time-optimal controls for arbitrary nonhomogeneous, nondegenerate linear systems with controls constrained to a convex compact polyhedron. Using the maximum principle, it reduces the determination of the optimal control from a given initial state to finding the …
V. V. RACHEV, L. M. KOVBA, E. A. IPPOLITOVA
This study examines phase relations in the uranium oxide system between uranium dioxide and uranium trioxide, focusing on the uranium dioxide to triuranium octoxide region. Using high-temperature X-ray diffraction on samples of controlled composition, the authors determine lattice parameters, homoge…
S. Kh. Aranson
The paper examines how the method of rotating the vector field can be used in the theory of structurally stable, or rough, dynamical systems on the torus, in analogy with its use for planar systems. After discussing natural function classes for structural stability, including smooth, analytic, and p…
A. V. NIKOLAEV, N. N. KNYAZEVA, V. A. LOGVINENKO
This study examines how sparingly soluble oxalates and carbonates interact with complexones, especially EDTA and 1,2-diaminocyclohexanetetraacetic acid, and questions calculations that assume only simple metal complex formation. Solubility measurements and recalculation of published data are used to…
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The paper studies initial boundary value problems for a broad class of linear parabolic systems in a bounded cylinder, defined by algebraic homogeneity and root conditions on the principal matrix determinant. It formulates admissible initial and boundary operators through rank and complementing cond…
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This paper studies the dependence on a parameter of nonlinear integral operators arising in Krasnoselskii’s method for proving existence of periodic solutions of ordinary differential equations with deviating argument. It establishes conditions under which such operators are continuous with respect …
V. I. LUKYANYCHEVA, V. S. BAGOtskii
This study examines oxygen adsorption on smooth platinum in sulfuric acid under conditions intended to exclude preadsorbed hydrogen, using a vacuum electrochemical method with thoroughly degassed electrodes and electrolyte. Anodic charging curves at low current density reveal three distinct potentia…
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This paper develops a generalized treatment of nonstationary evaporation from a liquid drop covered by a monolayer of a foreign substance, correcting an earlier boundary condition used for the transient problem. The authors formulate mass balance for a vapor adsorption layer, relate molecular transf…
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This study examines the mechanism of gamma radiation induced polymerization and copolymerization of acrylonitrile and methyl methacrylate in the presence of solid additives, especially magnesium oxide. Using copolymer composition and reactivity ratios at 0 and minus 50 degrees Celsius, the authors c…
S. L. KRUSHKAL’
The paper studies higher dimensional analogues of Ahlfors’ mappings quasiconformal on the average, defined as Sobolev topological mappings whose mean distortion satisfies an integral bound. Using oscillation estimates of Courant type and approximation arguments, it proves interior uniform continuity…
Unknown
This paper examines reactions of esters of mercurated acetic acid with trialkyliodosilanes as an example of dual reactivity in organometallic compounds. The authors show that solvent and conditions determine whether the reaction gives alpha-trialkylsiloxyvinyl alkyl ethers, corresponding to reaction…
Unknown
This paper examines low Mach number gas flow past stationary spherical and cylindrical obstacles whose radii are comparable with the molecular mean free path, where classical no slip hydrodynamic boundary conditions are inadequate. By matching viscous hydrodynamic stresses outside a transition surfa…
I. L. Roikh, L. N. Koltunova, V. E. Tolkachev, V. P. Kirichenko
This study examines the atmospheric corrosion of Mg, Zn, and Mg-Zn alloys across the full composition range using vacuum condensates of variable composition combined with a photographic method based on hydrogen peroxide evolution during oxidation. Corrosion diagrams were constructed and compared wit…
M. N. YAKOVLEV
This note studies iterative methods for solving nonlinear equations of the form F(x) = 0 in a real Hilbert space, where F is the gradient of a twice continuously differentiable functional. Under strong monotonicity and boundedness assumptions on the derivative, it establishes existence and uniquenes…
Corresponding Member of the Academy of Sciences of the USSR N. S. NAMETKIN, V. M. VDOVIN,
This paper reports the synthesis of 3,4-benzosilacyclopentanes, silicon-containing analogs of indane, as a continuation of work on benzosilacycloalkanes. The key intermediate, 3,4-benzo-1,1-dichlorosilacyclopentane, was obtained by intramolecular Friedel-Crafts-type cyclization of chloromethylbenzyl…
Unknown
This paper proposes a gamma activation method for determining fluorine and chlorine directly in polymers, addressing difficulties posed by chemically stable halogen-containing materials in decomposition-based analysis. Samples and standards were irradiated with betatron bremsstrahlung at 18 MeV to i…
Unknown
This study examines how supramolecular structure affects the pyrolysis of polyvinyl alcohol films, using polarization infrared spectroscopy on unoriented and threefold stretched films heated in air at 150 degrees Celsius. The authors show that pyrolysis proceeds through dehydration with formation of…
S. M. BLOKHIN, E. E. VAINSTEIN
This study examines the valence-band energy structure of ytterbium oxide and ytterbium hexaboride using the fine structure of the ytterbium LIII x-ray absorption edge and the final L beta 5 emission band. Spectra were recorded with a focusing x-ray spectrograph and corrected for self-absorption, ins…
Unknown
This study examines whether oxidized carbon, understood as a polyfunctional cation exchanger with acidic surface sites and hydrogen ions in the outer layer of its electrical double layer, can catalyze acid-type reactions in solution. Using sucrose inversion as a model reaction, the authors compare o…
Unknown
This paper examines how substituents adjacent to a methylene bridge mutually influence multiple bonds, with emphasis on nitriles, allyl compounds, and ketones of the type X-CH2-Pi. Using vibrational, Raman, ultraviolet, and basicity data, the authors compare substituent effects transmitted through m…
Unknown
The paper extends the Fourier transform associated with a non-self-adjoint differential operator on the half-line from square-integrable functions to functions whose square is locally integrable. Under hypotheses ensuring only finitely many eigenvalues and spectral singularities, the construction av…
Yu. M. Ryzhmanov, Yu. V. Yablokov, B. M. Kozyrev, R. O. Matevosyan,
This study examines the electron paramagnetic resonance spectra of newly prepared stable hydrazyl free radicals derived from alpha,alpha-diphenyl-beta-picrylhydrazyl with substituents in the meta position of the picryl group. Measurements on benzene solutions and evacuated microcrystalline samples w…
K. T. OGANESYAN
This study examines the gas phase reaction of oxygen atoms with methanol and its role in the ignition and combustion mechanism of carbon monoxide and oxygen mixtures containing small methanol additions. Lower ignition limits were measured, and rarefied flames were investigated by EPR spectroscopy, i…
V. A. KALYAVIN, T. A. SMOLINA, O. A. REUTOV
This study examines the mechanism of isotopic exchange between para-substituted benzylmercury bromides and radiolabeled mercuric bromide in dimethyl sulfoxide at 70 °C, with particular attention to the effects of potassium bromide and ring substituents. Kinetic measurements show that exchange in dim…
I. E. Maizlin
The paper presents a method for information retrieval in computer memory based on assigning binary codes deterministic pseudonumbers that behave approximately as independent uniform random variables. It develops preprocessing and chained search procedures, estimates the expected average chain length…
Unknown
The study determines thermodynamic properties of indium arsenide, including the isobaric isothermal potential, entropy, and enthalpy of formation, using electromotive force measurements. Cells with liquid indium, chloride melts containing indium monochloride, and solid InAs plus arsenic electrodes w…
Corresponding Member of the Academy of Sciences of the USSR N. S. NAMETKIN, V. N. PERCHENKO,
This paper examines the synthesis of N-ethyleniminosilanes, organosilicon compounds containing a silicon, nitrogen bond and a strained ethylenimine ring, by catalytic dehydrocondensation of hydrosilanes with ethylenimine. Using alkali metal catalysts, especially lithium, the authors show that ethyle…
Unknown
The paper studies the spectrum and generalized eigenfunctions of Hermitian difference equations with periodic coefficients and a shift incommensurable or commensurable with the coefficient period. It argues that the spectral structure is governed by the continued fraction expansion of the shift para…
K. N. SEMENENKO, T. N. NAUMOVA, L. N. GOROKHOV, G. A. SEMENOVA,
This study reexamines the interaction of aluminum chloride and ferric chloride, previously reported to form a continuous series of solid solutions. Using thermographic, X-ray phase, and mass-spectrometric analyses on purified, vacuum-melted samples, the authors find liquidus curves consistent with e…
Unknown
The paper studies second order nonlinear hyperbolic equations in a real Hilbert space with time dependent positive self-adjoint operators, possible damping terms, and nonlinear forces that may be potential or nonpotential. It derives energy estimates under structural inequalities on the operator der…
Unknown
Radiation polymerization of tetrafluoroethylene in the crystalline state was examined with emphasis on temperature-dependent kinetics, radical decay, thermoluminescence, and X-ray structural behavior. The study finds an additional maximum or inflection in the polymerization rate near minus 160 to mi…
Unknown
This paper addresses the problem of separately detecting short lived free atoms and radicals and active molecules in chemical and photochemical systems without perturbing the reaction medium. The authors develop semiconductor probes based on thin films and porous columns of ZnO, using the rapid hete…
Unknown
This note studies a priori estimates for generalized solutions of the Dirichlet problem for elliptic differential equations whose coefficients may degenerate. Using the Markov process associated with the operator, the solution is represented probabilistically, and conditions are formulated in terms …
A. A. Slinkin, E. A. Fedorovskaya
This study examines the origin of fine structure in the electron paramagnetic resonance spectra of chromium oxide doped with lithium ions, motivated by earlier observations of complex spectra in chromium oxide systems containing monovalent ions. Samples produced by reacting chromium trioxide with li…