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 examines the origin of lunar maria and flat-floored craters, focusing on the spatial and elevation patterns of presumed basaltic lavas that are difficult to explain by flow from a single central source. Using morphological observations of mare margins, flooded craters, fissures, terraces,…
This note generalizes an earlier construction of universal bundles for principal bundles with Hausdorff bases from closed Lie subgroups of general linear groups to arbitrary topological groups. It introduces elementary G-objects and locally T-trivial principal bundles, proves their relation to class…
This paper examines the convergence and applicability of perturbation theory for calculating nonlinear polarization in resonant media, especially in the theory of optical quantum generators. It formulates a diagram technique for higher order terms of the one-particle density matrix and applies it to…
The paper addresses the construction of a stationary probability distribution for turbulent flows, where energy dissipation prevents direct use of Gibbsian statistical methods. For an incompressible viscous fluid, the Navier-Stokes equations with weak broadband random forcing are reduced by a Galerk…
This paper develops a class of exact solutions for biharmonic elasticity problems in a semi-strip, motivated by stress analysis in elasticity and thermoelasticity. Instead of extending the solution through the end of the semi-strip, the authors extend it periodically through the longitudinal edges, …
The note establishes an a priori upper estimate for the principal radii of curvature of a closed strictly convex hypersurface in Euclidean space of dimension n plus 1, when its Gaussian curvature is prescribed through the product of the principal radii as a positive function of the outward unit norm…
This paper gives a functional formulation of Bogolyubov’s axioms for a causal S-matrix theory in quantum field theory, restricted for simplicity to a single self-interacting real scalar field. It formulates the general structure in terms of rigged Hilbert spaces, nuclear Fock spaces, Poincaré invari…
This paper examines the crystal-chemical conditions that govern the formation of spectrometric scintillators based on alkali-halide single crystals and argues against models requiring a uniform activator distribution and ordinary recombination luminescence. The authors propose that effective scintil…
The paper addresses the problem of determining time-dependent stepwise control forces that transfer a nonlinear dynamical system from a prescribed initial state to the origin in a fixed time. Extending a known construction for linear systems, it formulates an iterative procedure in which each contro…
This paper reports measurements of ultrashort pulse characteristics in mode-locked optical quantum generators based on neodymium glass and ruby. Pulse durations were determined by an optical coincidence method using the enhanced two-photon-excited luminescence produced when counterpropagating pulses…
This note develops an axiomatic treatment of autonomous dynamical systems with delay, modeled by continuous evolution from initial functions on a compact subset of the nonnegative half-line. It shows how such systems induce a Birkhoff dynamical system on the space of initial functions, and uses this…
The paper develops general integral representations for functions holomorphic in complete circular domains of several complex variables, extending earlier constructions of Cauchy, Temlyakov, and Bierski. It introduces a family of differential operators depending on positive and nonnegative parameter…
This paper examines a newly observed high pressure phase transition line in triglycine selenate, supplementing earlier dielectric studies that showed the pressure dependence of its ferroelectric transition. Differential thermal analysis with a copper constantan thermocouple and cerium reference was …
The paper develops a nonparametric formulation of regression experiment design in which the unknown regression function is treated as an arbitrary element of an L2 space rather than as a fixed linear combination of prescribed basis functions. It introduces randomized experimental designs for estimat…
This paper studies a boundary value problem for a first order system of partial differential equations of composite type in a bounded simply connected plane domain, in the case where one equation has multiple real characteristics and the other remains elliptic. After reducing the original system by …
This paper examines how to determine the number of consecutively connected microphotocells in CdTe anomalous photovoltage films and evaluates the inadequacy of an earlier junction-based logarithmic relation for this purpose. Using measured photovoltage as a function of illumination intensity, the au…
The paper studies uniqueness and nonuniqueness for a two-point boundary-value problem in an infinite spatial strip for second-order linear partial differential equations with constant coefficients. Using an adjoint problem, Fourier transformation, and Gelfand-Shilov type function spaces, it relates …
This study examines electron paramagnetic resonance in oxide glasses containing copper and cobalt transition ions, using borate, silicate, and phosphate glass systems with varying CuO and CoO contents. EPR spectra measured at room, liquid nitrogen, and helium temperatures show that isolated Cu2+ ion…
This paper classifies finite-dimensional central simple Malcev algebras over an arbitrary field of characteristic zero. It shows that every such algebra is either a simple Lie algebra or belongs to a seven-dimensional family A(alpha, beta, gamma) associated with Cayley-Dickson algebras, with simplic…
Elastic neutron scattering and thermographic analysis were used to study ordering of hydrogen and deuterium atoms in hydrides and deuterides of vanadium, niobium, and tantalum with compositions close to MeX. Superstructure reflections in low-temperature neutronograms show that the light atoms are no…
This paper studies planar autonomous differential systems near an isolated singular point and estimates the number of elliptic sectors adjoining that point. Building on Bendixson’s bound and later proposed refinements, it uses branching indices of curves defined by the vector field and its derivativ…
This paper analyzes how resonant transfer of excitation in collisions of identical atoms can change the electron spin direction and thereby alter the hyperfine state of an atom. Using the dipole interaction between atoms in ground s and excited p states, it argues that at low nuclear velocities the …
The paper analyzes Reissner’s nonlinear equations for finite, axisymmetric deformation of thin shallow shells of revolution under symmetric loading, introducing a dimensionless formulation with the shell thinness as a natural small parameter. It outlines a Galerkin approximation scheme but argues th…
This note studies an analogue of the Hardy-Littlewood equation, counting representations of a large integer n in the form p1p2 plus a sum of two squares, with p1 and p2 prime. Building on Linnik’s dispersion method and estimates associated with Hooley, Bredikhin, and Bombieri, the paper removes earl…
This paper formalizes a simple class of adaptive systems, called “simplest robots,” whose control law changes on the basis of sensory experience until a prescribed target condition is consistently satisfied. The framework specifies external coordinates, environment, sensors, controls, tactics, and u…
The paper addresses the problem of effectively determining the entire set of optimal solutions of a linear programming problem after one optimal basic solution has been found by the simplex method. It shows that, rather than first constructing the full feasible polyhedron, one can exploit zero reduc…
The paper studies stability with respect to initial data for two-level difference schemes with operator coefficients in a real Hilbert space. It reduces schemes of general form to explicit schemes through transformations involving the operators defining the energy norms, and then derives estimates f…
This note studies the qualitative behavior of solutions of two-dimensional periodic differential systems through the Poincare transformation, with emphasis on rough dissipative systems and separatrices of saddle periodic points. It formulates properties of stable and unstable separatrices contained …
The paper examines optimal transfers between close, near-circular, non-coplanar orbits when active thrust arcs have finite duration rather than being represented by instantaneous impulses. Using linearized equations of motion near a circular orbit and Pontryagin’s maximum principle, it derives bound…
This paper studies Sobolev type boundary value problems for elliptic operators on a closed manifold when the submanifold on which boundary values are prescribed itself has a boundary. Using boundary and coboundary operators in Sobolev spaces, the argument reduces the local analysis near the edge of …
This paper constructs an invariant transformation for the equations of plane steady motion of an ideal gas, mapping one flow plane to another while preserving the form of the governing momentum and continuity equations. The transformation changes the equation of state through arbitrary parameters, p…
The paper studies minimization of an additive functional for a finite discrete controlled system with arbitrary state and control sets and prescribed admissibility constraints. It introduces an auxiliary functional depending on an arbitrary function of time and state, and proves conditions under whi…
This paper examines the origin of subhorizontal seismic layering in the Earth’s crust of the northeastern Baltic crystalline shield, a feature not readily explained by surface geology or by simple changes in rock composition with depth. Using evidence from the Kola geophysical test site, aerial-phot…
This paper examines the calculation of molecular exciton energies in molecular crystals, focusing on the effect of electronic polarizability from molecular states not explicitly included in standard dipole interaction treatments. Using an isotropic molecular crystal as a model, it shows that the tra…
The paper studies extremal problems for classes of analytic functions in the unit disk defined by an integral bound involving a convex nondecreasing function of the logarithm of the modulus, thereby generalizing Hardy type classes. Using a Smirnov type representation and associated measures, it anal…
The paper proves that, in the weak topology on the space of invertible measure-preserving transformations of the unit interval, the automorphisms without simple spectrum form a set of first category. The argument constructs dense \(G_\delta\) classes of transformations approximable along subsequence…
This paper studies a class of finitely presented groups whose defining relators are closed under inverses and cyclic permutations and satisfy cancellation restrictions of small cancellation type. It proves structural lemmas on products of conjugates of defining relators and on cyclic words represent…
This paper reports the realization and analysis of three-beam electron interference in a UEMV-100 electron microscope using an electrostatic prism with two metallized quartz filaments. The authors derive intensity and visibility expressions for equal and unequal virtual-source geometries, compare th…
The paper derives explicit formulas for eigenvalues of Casimir operators of arbitrary order for the classical groups. Using highest weight vectors and recursive relations for the generators, it reduces the computation for unitary, special unitary, orthogonal, and symplectic groups to powers of an ex…
This commemorative article surveys the life and work of Soviet mathematician Nikolai Pavlovich Erugin on the occasion of his sixtieth birthday. It outlines his academic career in Leningrad and Minsk, his wartime service and subsequent return to research, and his major contributions to the theory of …
This note studies local and global transformation groups associated with a nondegenerate homogeneous form on a real or complex vector space, using as invariants a generalized double ratio of four points and a measure of k-angles defined by polarization of the form. It derives necessary and sufficien…
This paper examines whether decimeter wavelength observations of Venus, including reduced brightness temperatures and differing dielectric constants inferred from polarization and radar measurements, can be reconciled with the greenhouse interpretation of the planet’s radio emission. It develops a t…
This paper studies supersonic flow of a viscous compressible gas near a wall with a corner or break. The flow domain is divided into regions treated respectively by the full Navier-Stokes equations, inviscid gas equations, and boundary-layer-type equations, with matching conditions imposed on artifi…
This paper examines the propagation of short-period Pc-1 geomagnetic oscillations, or “pearls,” using simultaneous spring 1966 recordings from stations at Sogra, Borok, Ashkhabad, and, in some cases, Irkutsk. The authors digitized selected well-correlated record segments and calculated normalized cr…
The paper addresses a problem of Mal'tsev on whether a ring without zero divisors whose nonzero multiplicative semigroup embeds in a group must itself be embeddable in a field. Using the theory of SN-rings and their completions, it describes generators and defining relations for the multiplicative s…
This paper derives relations governing stress discontinuity surfaces in three-dimensional ideal rigid-plastic bodies for a general plasticity condition, using continuity of contact stresses, the yield condition, associated flow, and geometrical compatibility of displacement-velocity derivatives. The…
This paper experimentally compares the interaction of ultrasonic surface waves and bulk longitudinal and transverse waves with conduction electrons in a CdS crystal. Using pulsed 30 MHz ultrasound, variable photoconductivity produced by white and spectrally filtered illumination, and measurements of…
This paper examines diffusional charging of droplets in clouds and fogs, addressing the discrepancy between earlier theoretical formulas and observations that newly formed fog droplets often acquire predominantly negative charge. It proposes a modified mechanism in which the droplet surface double e…
