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 paper develops a method for deriving parameters of small-scale atmospheric turbulence in the meteor region from combined photographic and radar meteor observations. Using a model for the evolution of electron density in meteor trails that includes ambipolar diffusion, electron attachment, and t…
This paper examines delayed nuclear fission following beta decay in heavy nuclei far from the beta-stability band, where the beta-decay energy may exceed the fission barrier of the daughter nucleus. Using systematics of beta-decay half-lives, semiempirical alpha-decay estimates, spontaneous-fission …
This paper reports an experimental observation of acoustic subharmonics generated by an intense ultrasonic wave in a liquid medium. Motivated by calculations predicting a second order subharmonic spectrum at fractional frequencies of the fundamental, the study used a 500 kHz barium titanate radiator…
This paper analyzes natural vibrations and flutter of three-layer cylindrical shells in a supersonic gas flow using semimembrane shell theory and a linear piston-theory representation of aerodynamic loading. The governing equations are reduced to a dimensionless boundary-value problem for prescribed…
This paper examines the mechanism of polymorphic transformations in organic molecular crystals, focusing on whether the orientation of a daughter phase is determined by the crystallographic structure of the parent phase. Using polarized-light microscopy to measure changes in extinction directions du…
The paper studies the convergence behavior of Hermite-Fejer interpolation processes on variants of Chebyshev node systems, especially when the endpoints are added as interpolation nodes. It proves that for the Chebyshev zeros supplemented by the points plus and minus one, the process diverges throug…
The paper studies how the complexity, defined as the length of a standard representation, of normal algorithms depends on the size of the alphabet, with particular attention to whether general constructions can be replaced by constructions of only linear complexity. It introduces a uniform coding of…
The paper formulates a Lagrangian statistical description of turbulent motion in an incompressible viscous fluid, motivated by problems such as turbulent diffusion and deformation of material surfaces. It rewrites the Navier Stokes dynamics in variables following initially marked fluid particles, in…
This paper studies Nemytskii superposition operators generated by Carathéodory functions on a broad class of modular spaces defined by pre-generalized and generalized functions, including weighted Lebesgue, Orlicz, Orlicz-Nakano, and Musielak-Orlicz type spaces. It gives necessary and sufficient int…
This note studies sequence properties in separable locally convex spaces that correspond to geometric properties of Banach spaces, focusing on bases, minimal systems, unconditionality, stability, and subspaces with zero inclination. It establishes criteria for basicity via equicontinuity of partial-…
This paper studies an external inverse problem for metaharmonic volume potentials with a prescribed variable density: given a body with smooth boundary and a nearby exterior metaharmonic function, it seeks a nearby body whose exterior potential coincides with that function. Under analyticity and non…
This paper examines electron heat transport in a high-temperature plasma confined by a toroidal magnetic field, focusing on drift-wave instability associated with trapped electrons in systems with small magnetic shear. Using a kinetic treatment for trapped electrons in a Tokamak-type geometry, the a…
This paper examines unusually bright, short-lived spots observed on Mars and evaluates the hypothesis that they are halo phenomena produced by directed reflection of sunlight from ice crystals in the Martian atmosphere. Focusing on a parhelic halo formed by vertically oriented hexagonal ice plates, …
This paper studies the velocity of wave fronts for finite and semi-finite wave functions using analytic continuation of Fourier transforms into the complex plane. It proves criteria, extending Paley-Wiener type results, that relate the existence and position of wave fronts to the asymptotic behavior…
This note gives necessary and sufficient conditions for subelliptic estimates for nondegenerate pseudodifferential operators in terms of the principal symbol and its commutators. For an operator whose real and imaginary principal parts have noncollinear gradients on the characteristic set, the valid…
This note extends Dzhrbashyan’s Riemann-Liouville integro-differential generalizations of the Cauchy and Schwarz integral formulas from one complex variable to holomorphic functions on bounded convex complete circular domains in complex n-space. Using these formulas together with earlier integral re…
This paper studies the global realization in three-dimensional Euclidean space of two-dimensional metrics of class C2 with negative curvature of class C1, weakening earlier regularity assumptions for such problems. The argument treats metrics written in strip coordinates as ds2 = dx2 + B2dy2, with c…
This note studies two subclasses of Turing machines whose computable predicate truth sets are representable by finite automata: two-way automata and machines operating in a bounded mode. It defines extremal functions measuring the number of states required in the corresponding reduced finite automat…
This paper develops a method for solving the spatially homogeneous Boltzmann equation by expanding the distribution function in Hermite polynomials about a Maxwellian. For a quasi-Maxwellian molecular interaction model, the Boltzmann equation is reduced to a recurrent system of ordinary differential…
The paper studies how the geodesic paths of test bodies in a gravitational field can be modeled in another Riemannian space of the same signature by introducing an effective force in the equations of motion. It formulates complete modeling, in which all timelike and null geodesics of the original sp…
This paper studies the asymptotic distribution of eigenvalues of positive self-adjoint operators generated by general elliptic boundary-value problems in unbounded domains. Using a parametrix construction for the associated parabolic problem, it first establishes estimates for the Green matrix under…
This paper examines fine structure in the travel-time curve of longitudinal seismic waves by directly estimating its derivative with respect to epicentral distance. Using records from two regional seismic station networks in Siberia and Kirghizia for more than 200 earthquakes, mainly from the Pacifi…
This paper studies finite-dimensional subspaces of Banach spaces with the e-property, meaning that any norm-one linear extension of the identity on the subspace must be the identity on the whole space. It gives criteria for saturated subspaces, which imply the e-property, in the spaces l_p^n, distin…
The paper studies a time-optimal control problem for a class of interconnected linear systems with bounded controls, subject to the additional requirement that the trajectory reach a specified subspace before arriving at the final state and remain there thereafter. The system is rewritten in block-m…
The paper considers a class of discrete programming problems with separable additive or multiplicative objective components, an additional function bounded below by separable terms, integer resource constraints, finite variable domains, and supplementary feasibility conditions. It proposes a solutio…
The note constructs a compact Hausdorff space satisfying the first axiom of countability for which the small inductive dimension and covering dimension differ. Starting from the lexicographically ordered square and Cantor set quotients, the author defines two bicompacta of dimension 1 and glues them…
The paper develops a theory of elliptic problems of S. L. Sobolev type in which boundary conditions are imposed on submanifolds with finitely many conical point singularities rather than on the boundary of the ambient manifold. It introduces weighted functional spaces adapted to such singularities a…
This paper proposes a holographic method for transforming coherent light fields so that radiation with an arbitrary or distorted wavefront can be converted into a prescribed phase distribution, including a plane wave. The method records the interference of two beams on a hologram and then reconstruc…
The paper studies bound states of two particles governed by the Schrödinger equation with an attractive screened Coulomb, or Yukawa, potential, focusing on whether the ground state binding energy vanishes at a finite screening parameter. A spherically symmetric solution is constructed as a functiona…
This note studies polynomials orthogonal over the area of a simply connected Jordan domain, with unit, analytic, and more general nonanalytic weights, under smoothness assumptions on the boundary and weight. It establishes asymptotic formulas for the orthonormal polynomials in the exterior domain, e…
This paper examines whether microscopic discontinuities, modeled as narrow vacuum gaps or slits in a thermoelectric material, can improve thermoelectric performance by suppressing lattice heat transport while still permitting electron transfer over or through the barrier. Using phenomenological tran…
The paper addresses a question of F. Hall concerning when irreducible representations of polycyclic groups over absolutely algebraic fields of prime characteristic must be finite-dimensional. It develops module-theoretic lemmas for cyclic representations, using servile submodules over polynomial and…
The paper extends approximation theorems of A. F. Timan, I. E. Gopengauz, and S. A. Telyakovskii from functions with continuous integer-order derivatives to functions on an interval possessing a continuous derivative of arbitrary fractional order. It proves that, for \(r=r' + \alpha\) with \(0<\alph…
This paper studies the asymptotic distribution of the first time at which a cumulative process exceeds a high level, extending a known limit theorem for sums of independent identically distributed random variables to sums governed by a regular semi-Markov process. The construction uses an embedded e…
The paper applies a continuous-parameter stabilization method to the Dirichlet problem for a second-order nonlinear elliptic equation of the form Δz + f(x, y, z) = 0 in a bounded domain with zero boundary values. Working in Hölder spaces, the authors formulate conditions under which the associated l…
This paper derives kinetic equations for multicomponent mixtures of moderately dense gases, extending the kinetic theory beyond the rarefied gas approximation by retaining terms of second order in density associated with triple molecular collisions. Using Bogolyubov’s method, the hierarchy of distri…
This paper studies higher order Bogolyubov and Krylov averaging approximations for ordinary differential equations on the whole time axis, with attention to solutions that remain bounded for all time. Using a theorem of Zabreiko, Kolesov, and Krasnoselskii on small bounded solutions, it establishes …
This paper develops consequences of a previously established local criterion for the existence of wave operators for pairs of self-adjoint operators. It formulates sufficient trace-class conditions ensuring subnormality and normality, including unitary equivalence of absolutely continuous parts, and…
This paper calculates quadrupole and octupole one-phonon states in even-even deformed nuclei with mass numbers 174 to 188, including the first two states with K pi equals 0 positive and 2 positive and octupole states with K pi equals 0 negative, 1 negative, and 2 negative. Using the superfluid nucle…
This paper calculates resonant charge exchange cross sections for ions colliding with atoms of group II elements using asymptotic theory. The exchange interaction is expressed through the asymptotic form of the outer electron wave function, with the asymptotic coefficient taken from Hartree-Fock dat…
This paper examines the angular distribution of elastic high energy hadron scattering by summing the scattering amplitude within a simple core scattering model. The model gives separate expressions for the imaginary and real parts of the amplitude outside the backward peak and a real amplitude near …
This paper studies the local topological structure near an isolated singular point of a two-dimensional autonomous system whose leading terms are homogeneous of degree m, with special attention to analytic systems and to systems of class C_m. Using branch counts for curves defined by the vector-fiel…
The paper addresses the structure of a plane shock wave in a simple monatomic gas by solving the Boltzmann kinetic equation for elastic hard-sphere molecules with Rankine-Hugoniot boundary conditions. It reformulates the collision integral and applies successive integral iterations combined with Mon…
This paper studies the propositional logic of finite problems developed by Yu. T. Medvedev as a refinement of Kolmogorov’s interpretation of intuitionistic logic as a calculus of problems. It introduces notions of alpha-logics, weakly constructive logics, finite rank of formulas, and finite logics, …
This paper investigates the formation of protonated molecular ions with mass M plus 1 during thermal ionization of organic compounds on oxidized tungsten emitters, with particular attention to phenol. Mass spectrometric measurements of temperature, pressure, and retarding potential dependences show …
This note studies the structure of optimal and equivalent mixed strategies in finite matrix games. Using an entropy-type maximization argument and the Kuhn-Tucker theorem, it proves that an optimal strategy, as well as strategies equivalent or approximately equivalent to arbitrary mixed strategies, …
The paper extends Sobolev’s theory of cubature formulas for periodic functions to formulas that incorporate prescribed derivatives, viewed as multidimensional analogues of Hermite quadrature. It formulates the error functional on an n-dimensional torus with a general period matrix and derives an exp…
This note examines the applicability of the commonly used gas filtration relation between squared pressure drop and volumetric flow rate in porous media, with particular attention to the influence of clay content. Experiments were performed by passing air and dry gas from the Zira field through colu…
The paper studies the limiting behavior, as noise tends to zero, of the unique invariant measure of a nondegenerate Markov diffusion that is a small perturbation of a dynamical system on a compact manifold. Using an action functional and the associated quantities V(x,y), the authors define equivalen…
The paper studies equivalence and singularity of probability measures generated by Hilbert space valued Gaussian functions. Using reproducing kernel Hilbert spaces associated with operator valued covariance kernels, it gives necessary and sufficient conditions for equivalence of two such Gaussian me…
