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 examines loss of thermal stability in steady laminar flow of an incompressible viscoplastic material through a circular pipe, where viscosity and yield stress vary inversely with temperature. Starting from coupled momentum and heat conduction equations with viscous dissipation, the authors…
This paper continues the authors’ work on elliptic operators associated with submanifolds, introducing a complex Kähler version of the trace construction and formulating its behavior in K-theory. It proves contravariant Riemann-Roch type formulas for the K-theoretic symbols of traced elliptic operat…
This paper studies locally nilpotent and nilpotent subgroups of the finitary symmetric group on an infinite set. Using representations of permutation groups on transitivity systems and centralizer arguments, it proves that every transitive locally nilpotent subgroup of the finitary symmetric group i…
This note studies unitary equivalence of finite sequences of complex matrices by translating the problem into the unitary geometry of orthogonal decompositions determined by eigenspaces of normal matrices. It first reduces arbitrary matrices to Hermitian components, then characterizes equivalence th…
The paper studies measurable linear, polylinear, and power functionals on infinite product linear spaces equipped with product measures, and on the space of continuous functions with Wiener measure. It gives axiomatic definitions and proves uniqueness, representation, and completeness results, inclu…
The paper studies existence and convergence properties for constrained minimization problems in real Banach spaces, focusing on lower semicontinuous quasiconvex, strictly quasiconvex, uniformly quasiconvex, and strongly convex functionals. It proves weak lower semicontinuity of quasiconvex functiona…
This paper constructs homogeneous axisymmetric cosmological solutions of the Einstein and Maxwell equations for a perfect fluid with a magnetic field directed along the symmetry axis in a comoving synchronous frame. For dust matter, the field equations are reduced to evolution equations for two scal…
This paper examines a proposed generalization of gas kinetic theory beyond the usual Boltzmann statistical assumption that phase density is proportional to the total number of particles or mean density. Starting from the Liouville equation, it distinguishes symmetric and asymmetric distribution func…
This paper proposes a procedure for accounting for anharmonicity in molecular vibrations using general formulas for vibrational transition frequencies and successive approximations. The method expresses anharmonic force constants in natural or symmetry coordinates, derives the transformation to norm…
This paper studies the eigenvalue curves of Laplace’s tidal equation for free and forced oscillations of the atmosphere and ocean on a rotating planet, focusing on the asymptotic regime of small inverse equivalent-depth parameter. Using a reduction of the tidal system to a second-order equation and …
This paper analyzes how radiation damping from synchrotron emission modifies the motion of a relativistic charged particle in a homogeneous magnetic field. Starting from the relativistic equation of motion with the Landau and Lifshitz radiation-reaction force, it derives component equations, shows t…
The paper extends a method for proving algebraic independence from homogeneous third order linear differential equations to nonhomogeneous equations. It applies this extension, together with Shidlovskii’s theorem, to several classes of hypergeometric type E-functions satisfying third order nonhomoge…
This paper studies the Cauchy problem and a boundary-value problem for second-order limit hyperbolic equations whose characteristic form is nonnegative and may degenerate arbitrarily inside the domain and on the boundary. Using energy estimates for regularized equations with an added elliptic term a…
The paper addresses construction of confidence intervals, especially upper confidence bounds, for separable concave functions of many unknown parameters observed through independent Poisson counts. It formulates the general use of confidence sets to obtain interval bounds, then develops three confid…
This paper studies elliptic boundary value problems with an oblique derivative condition in a bounded smooth domain, allowing the oblique vector field to become tangent to the boundary along a smooth submanifold of codimension two. The authors analyze how solvability, regularity, and a priori Sobole…
This note studies coadjoint orbits of the group of upper unitriangular matrices, motivated by their relation to irreducible unitary representations of nilpotent Lie groups. Identifying the dual Lie algebra with lower triangular matrices, the paper reduces orbit classification to the consistency of e…
This note studies the least prime quadratic residue modulo a prime and related distribution questions for ideals in quadratic fields. Combining Burgess’s estimates for character sums, derived from Weil’s results on curves over finite fields, with Siegel’s theorem on quadratic fields, the authors pro…
This paper analyzes plasma diffusion in an axisymmetric toroidal discharge, emphasizing that toroidal geometry can enhance even classical particle losses beyond those expected in a straight discharge. Using quasi-cylindrical coordinates and Ohm’s law on magnetic surfaces, the authors derive an expre…
This text presents a contents page for a 1966 issue, listing articles in physics, technical physics, geophysics, and crystallography, with page references. The topics include high-frequency photoconductivity of organic dyes, plasma drift instabilities, radiation disturbances in silicon crystals, las…
The paper examines the physical origin of anomalously large photovoltages in semiconductor films, focusing on whether the elementary mechanism is a set of microscopic electron-hole junctions or a photodiffusion, Dember-type process in microregions. It compares the expected voltage behavior for these…
This paper reports experiments using a solution of a cyanine dye analog as a liquid fast-acting shutter for Q-switching a neodymium glass optical quantum generator emitting at 1060 mµ. The dye solution, placed in a plane-parallel cuvette inside the resonator, enabled single giant-pulse generation wi…
This paper studies finite-to-one and exactly k-to-one open mappings between Hausdorff topological spaces, focusing on how such maps affect weight, paracompactness, and metrizability. The main argument proves that a finite-to-one open mapping does not decrease the weight of a locally bicompact space,…
This paper develops the notion of multiple completeness for systems of elements in a Hilbert space and gives criteria under which such systems form bases, including Riesz bases with parentheses. These abstract results are applied to non-self-adjoint operator pencils depending on a parameter, in part…
This paper derives general formulae for the electromagnetic decay of a positive parity spin 3/2 baryon resonance into a spin 1/2 baryon and photon, and for its electroproduction in electron baryon scattering. The transition current is written in terms of invariant form factors, then specialized to t…
This paper examines how positron annihilation measurements of angular correlations in metals are affected by interactions between a positron and the surrounding electron gas. Using Green function methods for a compressed electron gas, it decomposes the two quantum annihilation probability into contr…
This paper studies local properties of pseudodifferential operators with nonhomogeneous symbols, treating them as a broad generalization of constant-strength differential operators. It develops a calculus for regular symbols in weighted spaces of tempered distributions, including boundedness, smooth…
This study reports absolute cross sections and energy dependence for photoneutron reactions on the Li7 nucleus from the reaction threshold at 7.25 MeV to 50 MeV. Neutron yields were measured using a highly enriched lithium target and an apparatus designed to minimize variation of neutron detection e…
This paper studies finite groups that can be factorized as the product of two proper subgroups, focusing on how solvability and nonsimplicity are influenced when at least one factor has only one class of noninvariant conjugate subgroups. It presents examples showing that some natural restrictions on…
The paper studies Skolem-style elimination of positive quantifiers in Gentzen sequential calculi for classical, intuitionistic, minimal, and positive predicate logic, with attention to equality and function symbols. It defines positive and negative quantifier complexes for pure sequents and formulat…
This paper examines whether the fluorescence quantum yield of solutions of polyatomic molecules decreases under long-wavelength, anti-Stokes excitation, or whether reported decreases arise from extrinsic effects. Using relative quantum-yield measurements with an integrating sphere and a comparison o…
The paper addresses an integral-geometric reconstruction problem posed by I. M. Gelfand for a compactly supported infinitely differentiable function on an oriented real affine space with a nondegenerate quadratic form of signature \((p,q)\). Given integrals of the function over selected hyperplanes …
The paper develops further properties of double operator Stieltjes integrals associated with two spectral measures, emphasizing their action on symmetric normed ideals of bounded operators. It extends earlier results from one-dimensional settings to general measure spaces and compact manifolds, repl…
The paper develops a composite grid method for the Dirichlet problem for Laplace’s equation in finite and infinite simply connected domains with piecewise smooth boundaries and finitely many corner angles, including cases where boundary data may have jump discontinuities at corners. The construction…
The paper addresses the statistical theory of adsorption with explicit allowance for interactions among adsorbed particles, using molecular distribution functions rather than a separation into bulk and surface phases. Starting from the Bogolyubov hierarchy, the authors introduce an approximate closu…
The paper develops a general geometric framework for solving linear programming problems with block structure, where a subset of constraints has a form that permits easier subproblem analysis. It reduces the original problem to minimization of a convex piecewise-linear function of a vector of estima…
This paper addresses the determination of the depth of the zero surface used in the dynamic method of ocean current calculation under the geostrophic approximation. It derives necessary conditions for the existence of such a surface from the geostrophic velocity equations, showing that density on th…
The paper develops a maze solving algorithm on discrete fields for the automatic routing of multilayer printed wiring, building on wave propagation methods in which neighborhood choice defines the discrete topology. It examines alternatives to Manhattan geometry, including triangular, hexagonal, and…
This study investigates the quasilinear electronic spectra of magnesium and zinc derivatives of tetrabenzoporphin and phthalocyanine as model chlorophyll-like metalloporphyrins. Using Shpol’skii-type spectra in frozen n-octane matrices at 77 K with selected solvent additives, the authors obtained su…
This paper proposes a modification of the Monte Carlo method for stationary rarefied gas flows that reduces the need to store the full molecular velocity distribution function. Using a quasi-Maxwellian molecular model with an effective collision cross section inversely proportional to relative speed…
This paper derives kinetic equations for weakly interacting, weakly excited superfluid Bose systems and solves them in the hydrodynamic approximation. Starting from a Bogolyubov quasiparticle Hamiltonian with external sources, the author formulates equations of motion for two-time temperature Green …
The paper studies embeddings of tree-like one-dimensional compacta in three-dimensional Euclidean space and their relation to cellular decompositions by finite unions of cubes. It outlines a proof that every tree-like compactum in E3 can be approximated by an arbitrarily small homeomorphic shift ont…
The paper studies discrete periodic processes through a scheduling model in which materials enter and leave a bunker at prescribed indexed times with specified periods and quantities. Under the condition that average inflow equals average outflow, it derives a periodic expression for the bunker rema…
The paper addresses the calculation of physical constants of polycrystalline materials, textures, and mixtures for properties represented by symmetric tensors of even rank, including dielectric and elastic properties. It argues that if effective constants are to be treated as mathematical means of s…
