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 mathematical model for dynamic buckling of a finite thin circular cylindrical shell subjected to a localized axisymmetric thermal shock near one end. The formulation couples one-dimensional thermoelastic equations for temperature and axial displacement with geometrically nonlin…
This study examines the incorporation of tungsten and gallium impurities into synthetic quartz grown from weakly acidic fluorine-containing aqueous solutions, a medium in which these elements enter more readily than in alkaline growth systems. Quartz crystals doped with tungsten or gallium were anal…
This note extends earlier results on R and Rc operations from countable to uncountable systems of sets, using branching tables of strongly inaccessible cardinal rank and two branching hypotheses related to rank attainment and large disjunctive subsets. It formulates equivalent forms of these hypothe…
This paper examines bifurcations of one-dimensional point transformations, distinguishing internal and external bifurcations and classifying internal stability changes by characteristic roots passing through plus one or minus one. It develops a parametric diagram method in which curves of fixed poin…
This paper develops necessary optimality conditions for control systems with aftereffect, where the dynamics are defined by functionals depending on past state and control histories. Using an auxiliary adjoint function and a functional analogue of the Hamiltonian, it derives an increment formula for…
This paper evaluates the geoenergetic role of geochemical transformations in the Earth’s crust and addresses claims that such processes are a principal source of deep heat. Using standard enthalpies of mineral formation, the authors estimate the thermal effects of representative hypergene, epigeneti…
This paper analyzes energy absorption in pure KCl crystals using the concept of residual ionization potential, together with atomic ionization potentials, electron affinities, exciton levels, and virtual levels. The author calculates band and defect-related transition energies for neutral and ionize…
This note studies when elements of homotopy groups of classical Lie groups and homogeneous spaces can be represented by totally geodesic spheres, relating minimal submanifold constructions to homotopic data. Using Bott periodicity for unitary and orthogonal groups, together with explicit sphere embe…
The paper extends V. V. Novozhilov’s method of complex transformation from the Kirchhoff Love thin shell theory to the linear theory of elastic shells of Timoshenko type, in which transverse shear deformations are included. Starting from the kinematic, equilibrium, constitutive, and compatibility re…
The paper studies stability in the spatial three-body problem for two planets in canonical variables, with particular attention to the behavior of the slowly varying action variables near resonance lines where integer combinations of mean motions vanish. Using a generalized form of Lyapunov’s second…
This paper studies estimation of a one-dimensional shift parameter from an independent sample with distribution function F(x minus theta), focusing on the admissibility of the sample mean under polynomial loss functions of the squared estimation error. It proves that, assuming F has two continuous d…
This paper reports experiments on capillary motion of mercury drops in hydrochloric acid under short-duration weightlessness produced by dropping a container. A flattened mercury drop was observed to contract after the onset of weightlessness, detach from the vessel bottom, and undergo damped oscill…
This paper develops a similarity and dimensional analysis theory for estimating large-scale atmospheric circulation on terrestrial planets without requiring detailed numerical modeling or prescribed temperature contrasts. Treating the atmosphere as gray and using solar energy input, heat capacity, p…
This note studies the construction of cubature formulas that are asymptotically close to optimal without depending on a particular choice of function space. After formulating optimality through the norm of the error functional, it defines universal asymptotic optimality for classes of weighted Sobol…
This paper estimates the damping of the Earth’s low-degree spheroidal free oscillations using a perturbation theory previously developed for spheroidal modes and a Gutenberg-Bullen A Earth model. Assuming dissipation occurs only through shear processes in the mantle and neglecting core dissipation, …
This paper develops several inequalities relating the Lévy distance between distribution functions to their characteristic functions and to weighted metrics. It proves a general smoothing inequality with an explicit truncation term, a broader bound using an auxiliary compactly supported distribution…
This paper gives a topological analogue of a theorem of Rokhlin on measure-preserving transformations, for homeomorphisms of separable metric spaces considered modulo sets of the first category. It proves that such a homeomorphism has a disjoint generator precisely when its set of periodic points is…
This paper examines coherent interactions of 60 GeV negative pions with emulsion nuclei, focusing on three-prong and five-prong events observed in BR-2 nuclear photoemulsion. The authors select candidate coherent events using angular, energy-balance, and four-momentum-transfer criteria, determine se…
This paper examines how Lagrangian invariants of inviscid compressible fluid dynamics can be systematized and generated for barotropic, adiabatic, and isothermal models. Using generalized Weber and Clebsch representations, the authors argue that the Eulerian fields of an adiabatic fluid can be deter…
The crystal structure of tetracalcium trihydrotrialuminate, formed in hydrothermal synthesis and during hardening of alumina cements at elevated temperatures, is determined from single-crystal X-ray diffraction data. Transparent rhombic crystals were examined by diffractometry, yielding an orthorhom…
This paper studies criteria for the existence of nilpotent and supersolvable subgroups of prescribed order in finite groups, using invariant series, index series, and arithmetic conditions on sequences of indices. Extending earlier results on groups whose Sylow subgroups are invariant, it introduces…
This paper extends Leray and Schauder degree theory to a class of continuous mappings in real Hilbert space called almost-monotone mappings, including sums of strictly monotone and completely continuous mappings. It defines the class, establishes compactness and stability properties, and constructs …
The paper studies a class of nonlocal boundary value problems for properly elliptic differential equations, including formulations in which boundary conditions relate values and derivatives on the exterior boundary to those on a smooth interior manifold through a diffeomorphism. It defines elliptici…
The paper studies a linear system of ordinary differential equations with summable coefficients subject to general integral boundary conditions, including two-point and multipoint cases. It proposes a variant of the sweep method that avoids solving the homogeneous Cauchy problem directly, instead so…
The paper proves an eigenfunction expansion theorem for a non-self-adjoint Schrödinger operator in three-dimensional space with a complex exponentially decaying potential. The argument uses meromorphic continuation and estimates of the resolvent kernel, contour integration in the spectral parameter,…
This note develops a group algebra of analytic functionals on a complex Lie group, defining convolution on the strong dual of the space of holomorphic functions and proving that it forms a continuous associative algebra. It relates this algebra to hyperenveloping algebras, measure algebras, and alge…
The paper proposes a regional classification of the curvature tensor in four-dimensional Riemannian space using principal congruences and reference systems determined by timelike vector fields. It reformulates the Petrov classification through the splitting of the Weyl tensor into chronometrically i…
The paper studies the oscillation problem for sequences of Fejér sums of periodic functions in the classes whose derivatives up to order p satisfy the stated smoothness and boundedness conditions, as well as for the corresponding conjugate sums. It determines extremal functions for the least upper b…
This paper reports the excitation and detection of hypersound in quartz in the millimeter radio range using conversion between a slow surface electromagnetic wave and acoustic waves in a piezoelectric crystal. The authors describe a slow-wave comb structure operated at liquid helium temperature and …
This paper estimates vertical gradients of longitudinal elastic-wave velocity beneath the Mohorovičić discontinuity using amplitude curves of first arrivals from deep seismic sounding in the western Black Sea and the Arabian, Indian Ridge rift zone. By comparing observed bottom-seismograph amplitude…
The paper studies a spherical wave associated with a scalar plankeon in the curved spacetime of the Einstein universe, using a scalar wave equation with curvature coupling. By separating variables in the metric, the author reduces the equation to a radial ordinary differential equation, gives its ge…
The paper studies completely regular Hausdorff spaces whose bicompact remainders have finite Iséki order, with emphasis on the classes defined by iterated sets of points of nonlocal bicompactness. It establishes structural and mapping properties for these classes, including behavior under open subse…
This paper studies random binary tables and the asymptotic behavior of dead-end tests, understood as minimal sets of columns that distinguish all rows. It derives estimates for the probability that a selected set of columns is a dead-end test and uses them to obtain asymptotic formulas for the expec…
This note studies a singular boundary value problem for an nth order ordinary differential equation with initial conditions at one endpoint up to order n minus 2 and one additional derivative condition at the other endpoint. The coefficient function is allowed to have nonintegrable singularities at …
The paper addresses the construction of coding systems for channels with asymmetric distortions, including errors modeled by nonnegative modular noise, and relates this problem to an additive combinatorial problem on distinct nonzero sums modulo an integer. It develops algebraic identities for symme…
The paper derives an analogue of the Boltzmann kinetic equation for a classical system of many particles governed by quasicanonical equations that include non-Lagrangian forces, such as friction. Using Bogolyubov’s hierarchy for correlation functions, a virial expansion in inverse specific volume, e…
This paper studies the ill-posed problem of solving Stieltjes-type integral equations with a bounded continuous kernel when the unknown solution is known a priori to be bounded and nondecreasing. Using compactness arguments based on Helly’s theorem and uniqueness on the monotone class, the authors p…
This paper examines the transverse stability of solitary wave solutions of the Korteweg-De Vries equation in weakly dispersive media when the soliton phase and amplitude vary slowly across the direction of propagation. Using a perturbative treatment for weak curvature and long transverse wavelengths…
This paper presents calculations of stellar opacity for astrophysical mixtures with photon absorption in spectral lines included alongside photoionization, bremsstrahlung absorption, and scattering. The authors use a Thomas-Fermi based self-consistent potential to compute electron states, occupation…
This note studies asymptotic enumeration of several classes of labeled and unlabeled graphs, multigraphs, directed multigraphs, and initially connected directed multigraphs with prescribed numbers of vertices and edges or arcs. It defines families distinguished by connectivity, strong connectivity, …
The paper studies orthonormal systems in real Banach spaces, using differentiability of the norm to relate orthogonality of vectors to the corresponding supporting functionals. For smooth Banach spaces, whose norms and dual norms are Gâteaux differentiable, it proves that every orthonormal system is…
This paper reports an experimental observation of electric gyrotropy, the rotation of the polarization plane of light in a crystal under an external electric field, with attention to the role of spatial dispersion in the dielectric response. The author develops the phenomenological form of the relev…
This paper develops a theoretical description of gamma-magnetic resonance in a single-domain ferromagnetic absorber, extending earlier treatment of multidomain specimens where domain-wall nuclei dominated the effect. Using perturbation theory for a two-quantum process involving Mössbauer gamma absor…
The paper studies classification problems for free filters and ultrafilters, comparing algebraic isomorphism of filters with equivalence induced by bijections of the underlying sets. It proves that these notions of equivalence coincide for free filters, gives criteria for equivalence of ultrafilters…
The paper studies finite Abelian n-groups and the extent to which converses to Lagrange’s theorem hold for prescribed divisors of the group order. After recalling definitions of n-groups, invariant and semi-invariant subgroups, and factor groups, it proves auxiliary results on subgroup recognition a…
A theory is developed for Stark broadening of hydrogen spectral lines in turbulent plasma, with attention to the use of Balmer line profiles for measuring the energy density of electrostatic oscillations. The analysis distinguishes quasistatic low-frequency ion-acoustic fields from nonadiabatic high…
The paper examines the short-range structure of liquid nickel and iron slightly above their melting points using X-ray structural analysis of radiation scattered from the free surface of the melts. Intensity curves and atomic distribution functions were obtained under controlled helium atmosphere, w…
The paper studies \(k\)-decomposable topological spaces, especially spaces that fail to be \((k+1)\)-decomposable or maximally decomposable, within the class of dense-in-itself \(T_0\) and \(T_1\) spaces. Using ends, filters, ultrafilters, and refinements or relaxations of topologies, it gives chara…
This paper examines diffractive dissociation of 20.8 GeV/c protons on nuclear emulsion nuclei in the reaction producing a proton and two charged pions while the nucleus remains essentially unexcited. Using emulsion data taken in a strong magnetic field, the authors select clean three-particle events…
This paper addresses the independence of infinite systems of group identities and gives an effective construction for a known problem on varieties of groups. For every odd integer n at least 4381, it proves that the identities of the form (x^{rn}y^{rn}x^{-rn}y^{-rn})^n = 1, with r ranging over prime…
