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 studies Green’s functions for Sturm-Liouville differential expressions with operator coefficients in a separable Hilbert space, extending earlier work from the case of identity leading coefficient to variable positive operator coefficients. Under stated boundedness, differentiability, meas…
This paper reports an electron paramagnetic resonance study of Dy2+ ions in CaF2 in the short wavelength submillimeter range near 0.34 mm at liquid helium temperature. Using a high resolution radiospectroscope, the authors measured resonance absorption lines for several orientations of the magnetic …
The paper derives a dispersion formula for the dynamic optical polarizability of the hydrogen atom in its ground state. Starting from the quantum mechanical sum over discrete and continuous spectra, it analyzes an integral representation based on Green functions and uses contour integration in the c…
This note studies local conjugacy of smooth local diffeomorphisms of Euclidean space fixing the origin, revisiting results of Sternberg by replacing iterative constructions with a fixed-point approach. For infinitely differentiable diffeomorphisms, it proves that when the derivative at the fixed poi…
This paper examines stable density stratification in the ocean using the Brunt-Väisälä frequency as a sensitive measure of vertical density gradients. Based on hydrographic data from 40 stations, mainly in the northern Pacific, the authors find that in interior layers between roughly 500 and 5000 m …
The paper studies infinite nonabelian groups in which every infinite nonabelian subgroup is normal, viewed as a generalization of Schmidt groups and metahamiltonian groups. Under the assumption of local stepwise structure, it proves solvability, shows that nonperiodic examples are metahamiltonian wi…
This note studies optimal sequential estimation of a location, or shift, parameter under squared error loss within a class of invariant stopping rules and equivariant terminal decisions. It defines optimality by analogy with Wald’s criterion, comparing risks among procedures whose expected sample si…
This note proposes nonlinear light scattering by static optical inhomogeneities, such as impurities or inclusions in transparent media, as distinct from stimulated scattering seeded by dynamic fluctuations. Using the Rayleigh single-scattering approximation for small, widely separated spherical part…
The paper examines the use of Faddeev equations with a separable Hilbert-Schmidt expansion of two-particle amplitudes for calculating zero-energy electron scattering on ground-state hydrogen. The authors derive integral-equation systems for singlet and triplet scattering lengths, exploit symmetry re…
The paper studies the asymptotic deflection of a finite viscoelastic beam of variable cross-section resting on a Winkler elastic foundation, with hereditary material behavior represented by an integral kernel. Using Tauberian theorems of Paley, Wiener, and Gelfand type, it derives conditions under w…
This paper examines why the faces of the hexagonal prism in quartz crystals often fail to grow, despite being morphologically expressed, and under what natural conditions their growth occurs. Using X-ray diffraction topography of natural quartz crystals from Kazakhstan and the Southern Urals, the au…
This note estimates how many errors are corrected by Reed decoding of binary Reed-Muller codes beyond the usual guaranteed minimum-distance bound. Using combinatorial estimates for the parity distribution of errors across coordinate groups, Fourier coefficient representations, and asymptotic probabi…
This paper investigates whether internal shock waves can occur in axisymmetric supersonic flow of a perfect gas past cones with spherical blunt noses and no break in the generatrix at the junction. Using finite difference calculations of the steady flow near a sphere, subsequent supersonic flow comp…
The paper derives a priori estimates and sufficient conditions for stability with respect to the right-hand side for three-level operator difference schemes in a Hilbert space. The approach reduces the three-level scheme to an equivalent two-level scheme and applies separation of stationary inhomoge…
This paper derives an analytic expression for the flux of singly scattered neutrons emitted by an isotropic monoenergetic point source in a homogeneous infinite elastically scattering medium. Using the fundamental solution of the transport operator, the authors separate the uncollided and once-colli…
This paper reports measurements of low-frequency current oscillations in amorphous fused films of beta-carotene and in beta-carotene films containing protoporphyrin, using surface-type cells with tin electrodes under dark and illuminated conditions at room temperature. Oscillations appeared only in …
The paper examines how electron thermal conductivity affects the propagation of laser radiation absorption waves in vapor formed above a strongly heated solid surface. A one-dimensional gas-dynamic model with radiation absorption and heat conduction is solved numerically, and a traveling-wave formul…
The paper studies the stability of time-periodic forced motions of a viscous incompressible fluid in a bounded three-dimensional domain, formulated through perturbations of a periodic Navier-Stokes solution in an energy space. It establishes well-posedness and compact differentiability properties fo…
This paper studies ergodic limiting behavior in multichannel loss service systems governed by stationary sequences of interarrival and service times, using occupancy processes that record residual numbers in service after future time shifts. It proves convergence, in a strong coupling sense, to stat…
This paper applies the principle of maximum stability to determine the mean velocity profile in the viscous sublayer and buffer region of turbulent channel flow. Using a generalized Van Driest mixing-length formula with adjustable parameters, the authors analyze local hydrodynamic stability of short…
This paper examines whether crystalline long-range order can exist in one- and two-dimensional classical many-particle systems with pair interactions at nonzero temperature. Using Bogolyubov’s quasi-average method and a classical analogue of Bogolyubov’s inequality, the argument relates a possible n…
The paper studies exterior boundary-value problems for the polyharmonic equation in unbounded domains of Euclidean space whose complements are bounded. It formulates families of problems with standard Dirichlet-type boundary data on a simple boundary, distinguished by prescribed asymptotic behavior …
This paper studies bifurcation of small eigenfunctions for nonlinear operator equations in a real Banach space when the eigenspace corresponding to an isolated Fredholm spectral point has arbitrary finite dimension. It justifies reducing the problem by projection to a finite-dimensional homogeneous …
This paper proposes a method for estimating the signs of structure amplitudes in centrosymmetric crystal structures using a three-dimensional Hoppe section of Sayre’s doubled function of interatomic vectors. The authors derive Fourier coefficients for this section, apply the Zachariasen statistical …
The paper introduces a family of function spaces defined through the variation of local polynomial approximation errors on cubes. It develops distribution estimates, embedding results, and a decomposition theorem showing that functions in these spaces can, outside sets of small measure, be represent…
This paper studies observability for a class of nonlinear differential equations in a Hilbert space with a Lipschitz nonlinear term and a possibly noninvertible observation operator. It introduces exact, finite time approximate, and asymptotic approximate observability, then constructs an auxiliary …
This note extends Carleman’s quasianalyticity criterion to linear operators in Banach spaces, asking when bounds on iterates of an operator imply that the vector is zero. For operators without spectrum, the argument relates quasianalyticity of the sequence of bounds to the growth of the entire resol…
This paper presents a numerical study of the onset and structure of natural convection in water near its temperature of maximum density, where density depends quadratically on temperature rather than linearly. A two-dimensional stationary problem is solved for a viscous liquid in a square cavity hea…
This paper develops and applies a surface ionization method for determining electron affinity energies of atoms whose vapors contain atoms and molecules with temperature-dependent dissociation, a case not suited to earlier comparison techniques. The method compares mass-spectrometrically measured cu…
The paper studies boundary behavior of multidimensional quasiconformal and related monotone Sobolev mappings using the notion of Bessel capacity of type (1,n). It proves that for a monotone mapping of a ball belonging to the class W_n^1, angular boundary values exist at all boundary points except fo…
This paper experimentally examines the spatial intensity distribution of stimulated radiation from a ruby traveling-medium laser with a small circular diaphragm placed inside a plane-parallel resonator. Near-field patterns at the resonator mirror and far-field patterns in the focal plane were record…
This paper studies a quasilinear system arising in a model of groove oscillations of a rarefied plasma cylinder in a strong external magnetic field. The system couples two transport equations for particle density distributions with a Poisson equation for the electric potential, with the initial data…
This paper investigates whether bismuth films condensed at liquid helium temperature, previously known to form a superconducting amorphous phase, exhibit a critical thickness beyond which this metastable phase disappears. High purity bismuth was evaporated in high vacuum onto glass substrates cooled…
This paper studies feedback control laws that maximize the domain of asymptotic stability for systems whose uncontrolled plant may be unstable. It defines stability optimality as inclusion maximality of the attraction domain and proves, under broad admissibility assumptions, the existence of an admi…
This paper examines how nonuniform stiffness in elastic ring supports can induce parametric oscillations in a rigid rotor mounted on one elastic and one hinged support. The authors formulate linear equations for small forced oscillations including gyroscopic effects, viscous damping, rotor unbalance…
This paper examines whether coagulation charging of precipitation particles by ion-charged cloud droplets can account for electric fields required for thunderstorm development. Using earlier ion-balance calculations and field estimates, it argues that natural ionization rates yield precipitation-par…
The paper studies one-dimensional continuous quantum statistical mechanical systems of bosons and fermions with binary interactions given by a finite potential with a hard core. It constructs the thermodynamic limiting Gibbs state on the inductive-limit C*-algebra for all positive activity and inver…
The paper examines whether induced amplification of characteristic X-ray radiation can be achieved by producing an inverted population of inner atomic shells under X-ray pumping. It argues that, for certain inner-shell transitions and at densities close to those of solids, radiationless vacancy tran…
This note studies a boundary value problem with a large complex parameter for a second order elliptic system in a three-dimensional domain, motivated by contour integral methods for parabolic mixed problems with time derivatives in the boundary condition. Under spectral, smoothness, and boundedness …
This note extends parts of the theory of strongly continuous operator semigroups to semigroups that are strongly continuous only for positive time and may have a singularity at zero, provided the singularity is summable after multiplication by a power of time. It defines classes of semigroups \(L^{(…
This paper proposes a representation of the Boltzmann equation in which the velocity distribution is expanded as an integral superposition of Maxwellian distributions with varying temperatures, reducing the collision term to a kernel in the corresponding parameter space. For spherically symmetric ho…
The paper characterizes relatively projective closed ideals in Banach algebras of continuous functions on a compact space. It proves that a closed ideal in C(Omega) is projective as a C(Omega)-module precisely when its spectrum, the corresponding open subset of Omega, is paracompact. The sufficiency…
This paper analyzes the motion of test masses on circular equatorial orbits in the gravitational field of a rotating body, interpreting the resulting asymmetry between co-rotating and counter-rotating motion as a gravitational analogue of the Zeeman effect or partial dragging of local inertial frame…
This paper studies a global computational approach to regularization for evolution problems governed by positive definite self-adjoint differential operators, contrasting it with local time-stepping methods. The authors discretize the full space-time problem at once, reduce it to a system of linear …
The paper examines absorption of intense laser radiation by an electron gas through the multiphoton Compton effect, a mechanism expected to become important when electron oscillation energy in the laser field is relativistic. Using results for Compton scattering in an external circularly polarized p…
This note constructs two compact Hausdorff spaces illustrating a separation between covering dimension and inductive dimensions. The first example, using Suslin’s hypothesis and the continuum hypothesis, is a completely normal bicompactum obtained from a product of a Suslin continuum with an interva…
The paper develops a continual integral representation for the fundamental solution of a broad class of parabolic type differential equations, motivated by limitations of earlier measure based generalizations of Wiener and Feynman formulas. For equations with polynomial symbol \(P(x,\xi)\) of even o…
The paper studies integral relations for the Milne problem in radiative transfer in a half-space, including both the homogeneous case and the case with prescribed boundary insolation. It formulates the problem in an operator setting on functions over the unit sphere, recalls the associated character…
This paper examines the nucleon composition and excitation energies of nuclei undergoing photofission when bismuth-209, lead-208, and gold-197 targets are irradiated with photons of maximum energy 1 GeV. The authors derive fissioning-nucleus parameters from measured fragment kinetic energies and mas…
The paper establishes duality statements for coherent analytic sheaves on a complex analytic manifold countable at infinity. It equips Čech cohomology and Dolbeault cohomology with natural locally convex topologies, identifies them canonically, and then relates continuous duals of spaces of global D…
