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
Stress relaxation in plastically deformed KCl crystals was investigated to clarify the relative roles of dislocation motion and dislocation multiplication during slip. Compression experiments at room temperature measured single and repeated relaxation at successive stages of deformation, with disloc…
This paper investigates the optical constants of liquid water in the stretching-vibration band, where earlier infrared and reflection measurements gave incomplete or contradictory values for absorption and dispersion. The author applies frustrated total internal reflection measurements at several in…
This paper analyzes how an internal dielectric boundary between an active laser medium and an inactive region in a plane parallel resonator affects the spectral composition of induced radiation. Using a one dimensional axial mode model with continuity conditions at the boundary, it derives approxima…
Anhydrous copper propionate and copper n-butyrate were examined as initial representatives of copper fatty acid salts, motivated by EPR evidence for exchange-bonded copper pairs and by the limited structural knowledge of metallic soaps. Single crystals obtained from anhydrous acids were studied by X…
This paper studies Dirichlet Sobolev problems for elliptic operators on closed manifolds with trace data imposed on submanifolds, and asks how the resulting change in analytic index can be computed. Using Atiyah Singer characteristic classes, Todd classes, Euler classes, symmetric and exterior power…
This item is a bibliographic and editorial notice from a 1966 issue of Differential Equations. It lists recent 1965 publications in differential equations, mathematical physics, numerical analysis, stability theory, boundary value problems, and related areas, giving authors, titles, journal details,…
This study examines the intrinsic luminescence of powdered europium orthotantalate and the luminescence of lanthanum orthotantalate containing trace europium impurity, motivated by interest in rare-earth compounds for laser applications. EuTaO4 and LaTaO4 were synthesized and investigated at 300 K u…
This paper examines the relationship between diameter and depth for lunar ring mountains and craters in the Sea of Clouds, using detailed Ranger VII lunar charts that extend measurements to craters as small as about 8 m in diameter. The author compares these measurements with Baldwin’s previously pr…
The paper addresses V. A. Efremovich’s problem of characterizing when a general uniform space, defined by symmetric binary relations interpreted as orders of nearness, induces a proximity satisfying the standard nearness axioms. It proves a necessary and sufficient criterion consisting of three cond…
The paper examines the onset of statistical, or stochastic, behavior in longitudinal oscillations of a nonlinear string with fixed ends, modeled as a finite chain of nonlinear oscillators related to the Fermi, Pasta, and Ulam problem. By transforming to normal coordinates and treating the nonlinear …
This paper studies Schottky-Ahlfors forms on compact oriented Riemannian manifolds with boundary, using the double of the manifold and Hilbert space decompositions of differential forms. It characterizes forms that extend harmonically to the double as a sum of boundary-vanishing harmonic forms and t…
This paper studies a class of singular integral equations on the unit sphere in three-dimensional Euclidean space, with Hölder-continuous coefficients and data. By introducing spherical coordinates, expanding the unknown and right-hand side in trigonometric series, and reducing the problem to one-di…
This paper examines stochastic activity-duration estimates in network planning and control, arguing that standard PERT-style assumptions can give inconsistent distributional specifications and substantial errors in estimating project completion time. It proposes an activity model that yields a beta …
The paper studies decision problems for the class K1 of finitely presented semigroups whose defining words do not occur inside distinct defining words. It constructs a 15-generator semigroup in this class containing a Tseitin semigroup as a subsemigroup, thereby showing that K1 includes a semigroup …
This paper investigates why the measured brightness temperature of strong shock-wave fronts in gases can be much lower than the calculated gas temperature behind the front. Using an explosive-driven shock apparatus and slit photochronography with red-light filtering, the authors measured shock-wave …
This note studies when the algebra of functions continuous on a closed bounded plane set and analytic at its interior points coincides with the uniform closure on that set of rational functions with poles off the set. Using a new approximation scheme based on partitions of unity and estimates involv…
This note studies how solutions of certain constant coefficient hyperbolic equations depend on initial data on the base of the characteristic cone, with emphasis on the existence of lacunae and weak lacunae. For strictly hyperbolic equations in two independent variables, it proves a necessary and su…
This paper establishes lower estimates for the exponential type of entire functions of order one whose values on the real axis satisfy prescribed decay bounds. Using convex regularization of the bounding sequence, it proves an estimate sharp up to an absolute constant and gives a converse constructi…
The paper develops a variational formulation for the geometrically linear theory of steady-state creep and applies it to shell problems with kinematic restrictions. Starting from a functional whose Euler equations reproduce equilibrium, constitutive relations, strain-rate definitions, and boundary c…
The paper proposes a method for determining the velocity field of quasi-stationary ocean currents without assuming that current velocity vanishes at a reference depth. Using the Ekman equations, the flow is decomposed into a gradient-convective component extending through the water column and stress…
The paper studies a discontinuous Riemann boundary value problem on simple closed rectifiable curves of class K, with coefficients and free terms belonging to integral Hölder classes. It establishes auxiliary results on products of such functions, proves a Poincaré-Bertrand formula for Cauchy type s…
This paper gives a constructive representation of zero order Besov and Nikolsky type classes of generalized functions of several variables, using approximation by entire functions of exponential type. Working in the Schwartz distribution framework, it defines regularity in the sense of Lp, introduce…
This paper reports preliminary Luna-10 measurements intended to test for a lunar ionosphere by using charged-particle traps for low-energy positive ions and electrons in circumlunar orbit. The authors compare ion and electron trap currents at different altitudes and under different plasma environmen…
This paper examines the limiting stress state near unloaded holes in thin viscoelastic or fiberglass plates subjected to homogeneous tensile stresses, where local compressive zones may buckle and relax. Using the viscoelastic analogy and membrane solutions, it argues that the stationary stress distr…
This paper develops a tensor representation of spinors in complex and pseudo-Euclidean spaces of arbitrary dimension using gamma matrices and spin representations of orthogonal groups. It first reviews the construction of covariant and conjugate spinors in even and odd dimensions, then shows that a …
This paper introduces Hausdorff spaces of minimal weight, defined by the requirement that every open cover separating points has cardinality at least the weight of the space. It gives equivalent and sufficient conditions for this property, proves that Tychonoff products of spaces of minimal weight a…
This note studies self-maps of the n-dimensional sphere whose point preimages are cellular, motivated by the relation between such maps and maps approximable by homeomorphisms. It proves that, for n not equal to 4, every pointlike mapping of the sphere onto itself is cellular, meaning that the preim…
The paper develops a thermodynamic description of binary substitutional solid solutions formed between crystals that are not themselves isomorphous, by introducing fictitious or metastable isomorphous modifications and allowing for vacancies in sublattices. It derives expressions for configurational…
This note studies criteria for equivalence, orthogonality, and strong equivalence of Gaussian measures on spaces of real functions, focusing on cases where one measure is generated by a Wiener process or by a Gaussian Markov process. Using reproducing kernel Hilbert spaces and the operator criterion…
The paper proves embedding theorems for the spaces W and B with mixed norms and anisotropic smoothness parameters, allowing the orders of smoothness to be arbitrary positive numbers. It first establishes weighted integral inequalities for kernels defined by anisotropic metrics in products of Euclide…
This paper develops an abstract Banach space method for studying boundary value problems for parabolic equations whose associated elliptic operators have domains depending on time, as occurs with variable boundary conditions. The main result establishes the existence and properties of an evolution o…
The paper addresses the formulation of plane flow past bodies with jets in an ideal fluid, arguing that prescribing nozzle-section velocities together with the body contour and conditions at infinity generally leads to nonuniqueness. It proposes a unified boundary-value formulation in which the phys…
This paper analyzes how a strong magnetic field affects recombination radiation in semiconductors for interband transitions. Using Landau quantization of carrier states, the authors derive an expression for the spontaneous emission intensity and show that the magnetic field enters primarily through …
This note proves that in every uncountable perfectly normal bicompact space, each countable Hausdorff Borel class below the first uncountable ordinal is nonempty. The argument reduces to spaces without isolated points, uses a continuous surjection onto an interval, and establishes a key factorizatio…
This paper examines the numerical determination of unknown boundary surfaces, such as shock waves and free surfaces, in spatial methods of characteristics for steady supersonic gas flow. Using geometric relations for a surface element together with the steady gas-dynamic equations, it argues that fi…
This paper examines repeated faceted and layered forms visible in lunar surface panoramas obtained by the Luna-9 station. Through formal visual analysis and graphic interpretation of selected image fragments, the authors identify rectilinear shadow boundaries, flat faces, parallel layered structures…
This paper proposes a different-time decoupling scheme for correlation functions in a model electron-phonon Hamiltonian, motivated by cases where conventional equal-time decouplings give only exponential damping and fail to capture short-time dynamical behavior such as Gaussian dependence. The metho…
This note studies the homology of spaces of smooth embeddings of a compact smooth manifold into another smooth manifold in the high codimension range, especially for based embeddings. It develops exact sequences and spectral sequences by filtering spaces of immersions according to singularity type, …
This paper investigates nonlinear transmission, or bleaching, in cobalt-activated zinc sulfide crystals under irradiation by giant pulses from a ruby optical quantum generator. It outlines criteria for observing bleaching in color-center systems and reports measurements of ZnS(Co) transmission at th…
The paper studies the confluent hypergeometric functions of Humbert and Horn, especially the series H3 and Xi2, in connection with the generalized wave equation with singular coefficient. It derives integral relations, inverse formulas, limiting transitions, addition and expansion theorems, and redu…
