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 analyzes the effect of Coriolis force on long unsteady axisymmetric waves in an ideal incompressible fluid in a uniformly rotating basin. A point source with arbitrary time-dependent discharge is introduced at the origin, and the linear long-wave equations are solved by Laplace-Carson tra…
The paper studies an extension of Zermelo-Fraenkel set theory obtained by adding a formal truth predicate for formulas under valuations, together with axioms governing this predicate. Within this system, the authors construct absolute natural transitive models of ZF and define ordinals that serve as…
This paper argues that long-term measurements of oceanic physical fields on fixed polygon arrays represent a new stage in ocean research, shifting attention from presumed stability toward statistically interpreted variability and macroturbulence. It reviews earlier Caspian, Black Sea, and Atlantic p…
The paper studies the existence, uniqueness, and construction of periodic solutions for differential equations in a complex Banach space with coefficients or nonlinear terms periodic in time. It develops fixed point operators related to Cesari’s method, first deriving criteria for first order linear…
This note studies intrinsic properties of strongly closed mappings between Hausdorff spaces, a class previously shown not to lower dimension. It establishes basic permanence results, including behavior under restrictions, inverse spectra with perfect projections, and directed systems, leading to the…
This paper examines representations of stationary electromagnetic fields in layered media as expansions in normal waves, formulated through differential operators associated with directions along and across the layers. It relates contour-integral methods based on residues to direct expansions in eig…
This paper determines the continuous transformation groups of Pauli type that leave the Dirac equations invariant when the spinor and its conjugate are treated as an eight-component system. Using Lie group methods and imposing a reality condition on the transformation matrix, it derives the maximal …
The paper studies the long-time behavior of solutions to the Schrödinger equation for a particle initially in a bound state behind an infinite potential barrier that is then replaced by a finite, sufficiently high barrier. Under regularity and compact-support assumptions on the potential, the author…
This paper studies whether exhaustive search can be avoided when computing a function using an oracle for its own graph, where computation proceeds by questions of the form “is the value at this argument equal to this number?” It formalizes guessing strategies by Turing machines with such oracles, d…
The paper studies derivability in a formal arithmetical calculus with equality, order, successor, and symbols for all primitive recursive functions, focusing on formulas provable without induction or with induction applied only after logical inferences. It defines a hierarchy of classes according to…
The paper presents iterative methods for sectoral planning problems formulated as integer linear programs with binary variables and assignment-type restrictions. It first describes a primal-dual iterative procedure for the corresponding continuous linear programming relaxation, using adaptive price …
The paper studies nondeterministic numerical methods for the first Dirichlet problem for the Poisson equation in the unit square, with right-hand sides bounded in a Sobolev class. It constructs a randomized approximation based on values at order N squared points, using local orthonormal polynomial e…
The paper studies trace and extension problems for functions on Euclidean space whose Hilbert norms are defined by generalized Fourier type operators depending on a function of position and frequency. By reducing a smooth hypersurface to a coordinate hyperplane, it formulates conditions under which …
This paper studies an inverse problem in magnetic prospecting for a two-dimensional star-shaped body whose magnetization is not known in advance. Using the method of artificial magnetization by a steady current in an external ungrounded cable, the direct problem is formulated through a simple-layer …
This paper examines a proposed acceleration and extraction regime for improving the energy uniformity of beams from an isochronous cyclotron without requiring extremely tight stabilization of the accelerating voltage. The authors analyze extraction near the boundary of radial stability, where the ma…
The paper studies finite-dimensional subspaces of Banach coordinate spaces for which fixedness, or asymptotic fixedness, of contractive linear operators on the subspace implies the corresponding property on the whole space. It formulates these questions in terms of saturated and completely saturated…
This paper studies functional equivalence for finite control automata with a final state in Glushkov’s framework of interacting control and operational automata. It defines operators and conditions syntactically over variables, function symbols, and predicate symbols, interprets automata over arbitr…
This paper studies limiting distribution functions for real multiplicative arithmetic functions through Zolotarev’s characteristic transform and summation theorems for multiplicative functions. It gives necessary and sufficient convergence criteria for the empirical distributions of values of a mult…
The paper gives a criterion for a T1 space to be homeomorphic to a metric space of covering dimension at most n: it must have a regular base whose element boundaries form a family of multiplicity at most n. Using properties of regular bases, locally finite refinements, and standard results from dime…
This paper studies global Cauchy problems for nonlinear first order equations, including multidimensional scalar conservation laws with bounded measurable initial data and a one dimensional Hamilton-Jacobi type equation with Lipschitz initial data. It introduces entropy-type definitions of generaliz…
The paper proves a duality theorem for the K-groups of homology and a slightly modified version of K-cohomology for subsets of a closed oriented homological manifold. For a decomposition of such a manifold into complementary sets A and B, under K-acyclicity assumptions in two adjacent dimensions and…
This paper addresses the computation of the characteristic criterion for the periodic limiting regime of motion of a machine unit, a quantity needed in dynamic machine calculations but generally unavailable in closed form. Under standard continuity, periodicity, and monotonicity assumptions on the r…
The paper proposes a method for treating extremal problems in the theory of univalent functions by applying Pontryagin’s maximum principle. Using the Löwner equation, it reduces the problem of minimizing the real part of a prescribed coefficient of \(G(f(z))\) over the class of normalized univalent …
This paper studies complexity bounds for normal algorithms and for deciding enumerable sets when computation time is restricted. It first proves a coding theorem showing that algorithms constructively generated from words over one alphabet can be represented over a two-letter extension of another al…
The paper develops a direct normal-wave expansion for radio-wave fields in a spherically layered isotropic dissipative medium with complex dielectric permittivity. Using spectral results for non-self-adjoint differential operators, the radial normal-wave operator is transformed to a Schrödinger-type…
This paper proposes a general iterative approach to minimizing nonlinear functionals on closed convex bounded subsets of reflexive Banach spaces, using convex Taylor-type approximations and an adaptive step-size rule. The main convergence theorem establishes monotonic decrease and, for convex functi…
This paper studies nonlinear multidimensional differential equations in finite-dimensional Banach spaces with almost periodic dependence on the independent variable. It derives algebraic conditions, based on a Frobenius-type complete integrability criterion and power-series representations, for comp…
This paper introduces a generalized continuous interval, defined through connectedness properties of point deletions, and shows how such spaces carry natural linear orders and interval-type topologies. It characterizes ordered sets that admit suitable T1 topologies making them segments, proves a con…
This paper studies the growth of meromorphic functions of finite lower order through the quantity measuring minimal deviation from a value, defined using the maximum proximity relative to the Nevanlinna characteristic. It establishes upper bounds for this deviation in terms of the lower order, prove…
This paper formulates a generalized rheological model for rocks intended to represent elasticity, viscous and plastic flow, elastic aftereffect, and shear and tensile strength under variable physical conditions. The model combines Burgers and Shvedov, Bingham elements and derives tensor deformation …
The paper gives an axiomatic characterization of categories of correspondences associated with semi-abelian categories, beginning with the more general case of beta-categories, which need not have direct sums or products. It defines beta-categories through kernel, cokernel, exactness, and intersecti…
This paper studies nonlinear equations of the form x = SF(x) and x = BF(x) in Banach spaces, where F is either a potential operator or a monotone operator and the associated linear operator may be bounded or unbounded. It formulates structural conditions linking a Banach space with an auxiliary Hilb…
The note studies upper estimates for large inductive dimension and related inductive invariants of products of bicompact spaces using cofinal approximative dimension. It proves that for finite products of bicompacta, and under a paracompactness variant, the large inductive dimension is bounded by th…
This paper studies the existence of invariant torus-like surfaces near an equilibrium of analytic systems of differential equations whose coefficients are periodic in time. Extending earlier results for special second-order systems, it applies Kolmogorov’s Newton method under nonresonance conditions…
The paper studies convergence and asymptotic rates for iterative processes used to solve finite-dimensional linear systems, allowing generally nonlinear transition operators. It introduces subordinate functionals as Lyapunov-type tools and proves a convergence criterion based on monotonic decrease, …
The paper considers the Euler-Poisson equations for a heavy rigid body with a fixed point when the center of gravity lies on the first principal axis and the gyrostatic moment is perpendicular to the third axis. Under a specified algebraic relation among the moments of inertia and a two-parameter re…
This paper proposes a method for estimating the small supersaturations that arise during formation of the droplet liquid phase in clouds, a quantity difficult to measure directly but important for droplet growth. Using a model of hydrated condensation nuclei, the authors derive and test simplified r…
The paper studies continuation and branching of periodic solutions for quasilinear differential-difference equations with a small parameter. Using an auxiliary equation and analytic expansions, it derives a finite-dimensional branching equation whose small solutions are in one-to-one correspondence …
This paper develops an averaged continuum-mechanical formulation for anisotropic turbulent flows in which Reynolds stresses need not be symmetric. Starting from asymmetric continuum mechanics, including independent conservation of angular momentum and intrinsic angular momentum, it derives macroscop…
This paper analyzes the asymptotic behavior of pair correlation functions near the critical point for a gas with short-range interactions, using the generating functional of correlation functions and the Ornstein-Zernike relation. It relates loss of uniqueness in the density equation to the spinodal…
This study examines whether point defects in ionic crystals are generated directly in a shock-wave front, rather than during subsequent plastic deformation in rarefaction. NaCl single crystals containing radiation-induced F centers were shock-compressed along the [100] axis, and rapid changes in opt…
The paper studies upper bounds for the formula size, measured by number of letters, required to realize monotone symmetric Boolean threshold functions in the basis of disjunction, conjunction, and negation. It develops an indirect counting argument over specially structured formula trees, choosing b…
This paper examines the structured visible and near ultraviolet absorption spectrum of cesium uranyl chloride crystals at 77 K, addressing competing interpretations of the band structure in uranyl chloride compounds. Absorption spectra were recorded in linearly polarized light for selected crystal o…
This note studies a two-player differential game in which the first player seeks to bring the state of a controlled system to a prescribed target set while the second player opposes this objective. It formulates admissible mixed strategies through set-valued dynamics and differential equations in co…
The paper gives an invariant formulation of Maslov’s canonical operator in the setting of Lagrangian geometry and the projective unitary representation associated with Schrödinger quantization. It defines a quasiclassical operator through formal WKB-type expansions, stationary phase equivalence, and…
The paper analyzes a dissipative instability of drift waves in dense tokamak-type plasmas caused by collisional transfer of trapped electrons into passing states. Using a quasineutral dispersion relation with Boltzmann passing electrons, cold-ion drift response, and a velocity-dependent effective co…
This paper summarizes deep seismic sounding data from the USSR and neighboring regions to map limiting velocities of longitudinal seismic waves along the Mohorovičić discontinuity. Using profiles obtained between 1949 and 1968, the authors compile isolines of uppermost mantle velocities and compare …
The paper investigates the polarization of stimulated emission in solutions of several phthalimide derivatives, focusing on how solvent viscosity affects rotational depolarization before laser generation. Using transverse pumping by the polarized second harmonic of a ruby laser and photographic pola…
This paper studies a boundary value problem for the mixed type equation uxx plus sgn(xy)uyy equals zero in a finite domain with two perpendicular lines of degeneration. The prescribed data are given on circular arcs and boundary segments, with allowed weak singularities of first derivatives at selec…
The paper reports the laboratory synthesis of polycrystalline diamond formations of the carbonado type, distinguished from previously synthesized ballas by a much finer grained structure and an X-ray diffraction halo resembling that of natural carbonado. The authors compare the microstructures of na…
