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 formulates a stationary heat conduction problem motivated by crystallization of semiconductor melt droplets on substrates, considering a hemispherical body in perfect thermal contact with an infinite plane-parallel plate and subject to external heat transfer and imposed heat flux. Because …
The paper studies finite difference methods for nonlinear second order boundary value problems in two variables, under monotonicity and sign conditions on the differential operator that ensure uniqueness of the continuous problem. It analyzes square mesh approximations using central and one sided di…
The paper studies relative and absolute tensors over a complex vector space through their groups of invariance under changes of basis. It develops two lemmas on tensor concomitants: first, that a nonzero contravariant tensor has a nonzero concomitant of a canonical exterior product form, and second,…
The paper gives sufficient criteria for nonoscillation of nth order linear differential operators on a finite interval, where nonoscillation means that every nontrivial solution has at most n minus 1 zeros counted with multiplicity. It derives an improved inequality in terms of uniform bounds on the…
The paper studies generalized uniform spaces and identifies “correct” spaces as those satisfying separability and an intersection condition for neighborhoods, thereby retaining a usable proximity structure beyond Weil uniform spaces. It shows that merely separable uniform spaces have no complete obj…
The paper studies high-energy asymptotics for spectra of the three-dimensional Laplacian in a bounded domain with Robin boundary condition, focusing on how eigenvalues change when the boundary coefficient is varied. It first derives an expansion for the resolvent trace involving the volume, boundary…
This paper develops a continuum theory for the diffusiophoretic motion of large droplets of dilute solutions in a diffusing binary gas mixture, for Knudsen numbers much less than unity. The authors model a partition of widely spaced spherical droplets, solve the hydrodynamic and stationary diffusion…
The paper studies algorithmic problems for varieties of quasigroups and loops defined by additional identities, including word identity, isomorphism, embedding, and occurrence. It develops an embedding criterion for partial quasigroups via finite simple free extensions and identifies a condition und…
This paper studies extrema of the multidimensional lattice zeta function for lattices of fixed determinant, a problem motivated by Sobolev’s work on approximate computation of multidimensional integrals. Using Lagrange multiplier conditions, the authors introduce strongly critical lattices and final…
This paper studies finite-dimensional irreducible representations of complex semisimple Lie algebras, focusing on weight multiplicities, tensor product decompositions, and restrictions to semisimple subalgebras. Using the Weyl group and a formula of Brauer and Weyl, it derives recurrence relations f…
The paper develops topological properties of partially ordered dynamical systems in which the acting group is an arbitrary nontrivially partially ordered group, replacing earlier restrictions based on countable majorizing sequences by directedness where needed. It defines relative density, omega-lim…
For the third Painlevé equation, the nature of possible singular points of its solutions is investigated, the question regarding the number and residues of movable poles of the solutions is resolved, and necessary and sufficient conditions for the existence of rational solutions are specified. Bibli…
The paper develops a numerical method for calculating eddy currents induced in seawater by oscillations of the vertical component of the geomagnetic field, motivated by limitations of an earlier analytical treatment for a sea of uniform depth. The sea is represented as a set of concentric conducting…
This study examines electrocleaning in synthetic quartz crystals containing elevated nonstructural sodium impurity, with attention to the relation between impurity migration and milky-white light-scattering centers formed during heating. Quartz plates were electrolyzed at 500 to 700 degrees in const…
The paper studies a generalized Tricomi boundary value problem for Chaplygin’s mixed-type equation in a domain whose boundary includes elliptic and hyperbolic parts, with homogeneous data imposed on selected boundary arcs. It formulates generalized solutions in a Sobolev space through an integral id…
A number of theorems are proved on the topological structure of the phase portrait of the system of ordinary differential equations \begin{equation} \begin{aligned}\dot{x}&=y\\\dot{y}&=-g(x,y)\end{aligned}\biggr\}\tag{1}, \end{equation} which the author calls relaxation if: (I) the function $g(x,y)$…
The paper addresses the physicochemical effects attributed to magnetic treatment of water, especially the formation of crystallization centers and changes in surface tension in aqueous electrolyte solutions. It proposes a molecular model in which magnetic treatment promotes spatial separation of ion…
This paper derives relations between the optical characteristics of condensed media and the Einstein coefficients of their constituent molecules when the relevant molecular energy levels have finite width. It formulates spectral densities for spontaneous emission, stimulated emission, and absorption…
This paper examines whether seismic elastic stresses from explosions can alter the remanent magnetization of magnetite ore bodies and thereby change the magnetic anomaly above them. Field experiments at magnetite deposits and magnetic anomalies used three-component magnetovariation stations, magneto…
This note studies the Cauchy problem for a one-dimensional parabolic equation on a finite interval with separated boundary conditions and a rapidly oscillating periodic coefficient. Under summability assumptions on the Fourier coefficients of the periodic term, the paper proves the existence, for su…
This paper considers the solution of certain boundary value problems for a two-dimensional elliptic equation with coefficients depending on two variables using the method of lines. The general solution to the system of differential equations of the method of lines is sought using the method proposed…
This paper treats the one-dimensional unsteady outflow of an ideal polytropic gas initially at rest in a constant gravitational field, with a nonuniform initial pressure and sound-speed distribution induced by gravity. Using characteristic relations and general solutions for the gas-dynamic equation…
This note studies uniform approximation of functions regular on closed sets of the complex plane by interpolation polynomials with nodes equidistributed on level curves of the exterior conformal map. Using a lemma of Lebedev for univalent functions, it derives logarithmic estimates for the node poly…
The paper formulates and solves a doubly periodic elasticity problem for a circular cylindrical shell weakened by a lattice of identical circular holes and subjected to symmetric edge loads, internal pressure, and uniform tension at infinity. Using complex variable representations with Weierstrass e…
This note announces results in set-theoretic topology obtained by combinatorial set-theoretic methods, especially partition relations, concerning cardinal bounds for discrete subspaces, density, and character in Hausdorff and related spaces. It improves earlier theorems of de Groot, Efimov, and Isbe…
This paper studies uniqueness for the Cauchy problem with zero initial data for general linear partial differential equations with constant coefficients in one spatial variable and time, restricting attention to solutions of normal exponential type in time. Using the Laplace transform in time, the p…
This paper examines the relative contributions of direct and indirect interband transitions to optical absorption in solids. Starting from standard expressions for optical conductivity, it compares the joint density of states governing direct transitions with a density of states convolution for indi…
The paper studies phase separation in low-temperature lattice gas models, focusing on the two-dimensional Ising lattice gas in the canonical ensemble with specific volume inside the first-order transition interval. Using a contour representation of configurations, it characterizes typical states as …
The paper studies the topological classification, up to isotopy in real projective three-space, of nonsingular real algebraic surfaces of degree four. It introduces a notation for surface components according to genus and the number of finite or infinite handles, defines surface types including conf…
The paper addresses the problem of K-continuability of polynomials, namely how to extend a given polynomial by adding higher-degree terms so that the roots of the resulting polynomial lie on the unit circle. It presents a simple algebraic construction based on transforming the polynomial, using Newt…
This bibliographic notice compiles recently published books and article collections relevant to differential equations, mathematical physics, functional analysis, stability theory, approximation theory, and related areas. The entries provide authors or editors, titles, publication locations and pres…
The paper studies asymptotic integration of linear controlled processes described by integro-differential equations with slowly varying coefficients and small regulator action. Using the slow-time method, it examines the case in which an isolated group of equal eigenvalues of the matrix governing th…
This study uses a helium neon laser and Fabry Perot interferometry to measure the fine structure of Rayleigh scattering in several liquids and aqueous solutions, deriving hypersonic velocities and absorption coefficients from Mandelstam Brillouin components. Measurements for toluene, cyclohexane, ac…
This paper formulates a stationary method for calculating ice drift, ocean currents, temperature, and salinity in the Arctic basin, treating the ice cover as a continuous medium that is rigid vertically and fluid horizontally. It sets out coupled momentum, continuity, heat, salt, density, atmospheri…
The paper studies a generalized Schwarz formula for the first-order elliptic equation ∂w/∂z̄ + b w̄ = 0 with constant nonzero coefficient, using a generalized Cauchy formula and the relation of the equation to the metaharmonic equation. For the upper half-plane, it derives an integral representation…
The paper studies functions represented by Dirichlet series that satisfy a pair of Riemann type functional equations, with specified meromorphic and decay conditions on the auxiliary factors. It proves a general shortened equation expressing the completed functions as sums of two integral Dirichlet …
The paper studies extremal quasiconformal self-mappings of the disk with a prescribed boundary correspondence, contrasting this problem with the classical case of finitely many prescribed boundary points where Teichmüller extremals are unique. It constructs and analyzes approximating extremal mappin…
The paper studies Diophantine properties of values of entire functions beyond Siegel’s class of E-functions, introducing a broader class of E*-functions with weakened growth and denominator conditions. Using a Thue, Siegel type construction of approximating polynomial forms and direct estimates at a…
This paper develops a one-product dynamic economic model in which output is allocated between consumption and accumulation, with capital assumed to be instantaneously transformable into the form optimal for the current capital to labor ratio. Using a homogeneous concave production function, the auth…
This paper investigates how the effective conductivity and active resistance of a toroidal plasma depend on the applied circumferential electric field, particularly near and above the Dreicer critical field. In a quartz toroidal chamber, plasma with density \(10^{11}\) to \(10^{12}\) cm\(^{-3}\) was…
This paper develops the notion of t-quasiconformal mappings with two triples of characteristics, extending a previous definition involving one triple and relating the elliptic case to Shabat’s quasiconformality. It defines mappings between rings of t-complex numbers, introduces appropriate forms of …
A generalized Gylden problem is considered, i.e., the problem of the motion of a point of variable mass in a nonstationary central force field whose reduced force law (the ratio of force to mass) is expressed by an arbitrary function $f_{\text{pr}}(t,r)$ of time $t$ and the distance $r$ of the point…
This paper studies degenerate quasilinear parabolic equations whose first order nonlinear part is subordinate to the degenerate second order operator in a probabilistic sense. Using Markov processes, Girsanov-type absolute continuity, and stochastic integral representations, it defines generalized s…
This study examines solid solutions with isovalent anion substitution in the HgTe, HgS and HgSe, HgS systems, focusing on compositions with sulfur content up to x = 0.4. Samples and single crystals were synthesized and analyzed by metallography, x-ray diffraction, chemical and isotope methods, elect…
This paper examines whether free oscillations of the Earth’s rotation axis are associated with changes in the Icelandic minimum of atmospheric pressure. Using monthly data for 1900 to 1955 on the depth and center coordinates of the Icelandic depression, together with the Earth pole component along t…
The work is devoted to a topical issue related to the practical calculation of electrostatic fields. One of the authors of this article previously introduced functions that allow for the exact satisfaction of boundary conditions for domains of practically arbitrary shape. These functions, while bein…
