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 relationship between acoustic noise and material erosion in hydrodynamic cavitation, treating both as consequences of bubble distribution, number, and collapse dynamics. The authors analyze published erosion measurements and conduct experiments on cavitation noise generated b…
This paper develops a matrix method for reducing energy operators in the theory of molecular vibrations, specifically for transforming natural coordinates into symmetry coordinates using group-theoretical representations. It describes procedures for diagonalizing symmetric submatrices associated wit…
This paper studies PS-isomorphisms, that is, isomorphisms between the lattices of all subsemigroups of groups, in the setting of structurally ordered groups. Using properties of cyclic subsemigroups, C-products, and the positive cone of a partially ordered torsion-free group, it shows that a PS-isom…
The paper studies self-correction in gate, contact, and contact-gate circuits subject to open circuits and short circuits of edges, especially when the number of faults grows with the number of variables. It develops two non-coding principles of self-correction: one based on representations by dense…
The paper studies cardinal bounds for families of open subsets in dyadic bicompact spaces, extending Shpilrain’s result on point-countable systems. It proves that if every point of a dyadic bicompactum belongs to at most an infinite cardinal number of members of an open family, then the whole family…
This note develops a successive approximation method for nonlinear ordinary differential equations describing relaxation in nonequilibrium gases with internal degrees of freedom. The method rewrites the Cauchy problem as integral equations and normalizes each iterate so that the particle number cons…
The paper studies mean-square approximation of a square-integrable function of several variables on a parallelepiped by a sum of functions depending only on prescribed smaller subsets of variables, with respect to a product Lebesgue-Stieltjes measure. Using elementary properties of averaging over se…
This paper studies Lamé problems in an isotropic gradient theory of elasticity, where the free energy depends on both strains and strain gradients and the equilibrium equations therefore require additional boundary conditions. For an infinitely long tube and a spherical shell under uniform internal …
This paper proposes a Fourier transform approach to infinite-dimensional parabolic equations in functional derivatives, treating the unknown not as a pointwise functional but as a sigma-additive charge on the dual of a rigged Hilbert space. For the Cauchy problem with a Laplace operator defined thro…
The paper studies which tuples of real characteristic numbers can occur for stochastic matrices of simple structure, motivated by applications to finite probabilistic automata. It introduces the notion of a matrix spectrum, a system of idempotent, mutually annihilating matrices summing to the identi…
This paper investigates the time characteristics of continuous CaF2:Dy2+ laser generation under axial and angular mode selection, with the aim of testing whether a spikeless single mode regime can be obtained. Using resonators with external mirrors or coatings on the crystal ends, the authors measur…
The paper studies convergence conditions for projection methods for solving linear operator equations in Banach and Hilbert spaces, extending a result of N. I. Polskii to subspaces that need not be finite-dimensional. It gives necessary and sufficient conditions in terms of limiting density, one-to-…
The paper studies minimum-time transfer to the origin for control systems that are small nonlinear perturbations of linear systems, with controls constrained to a unit cube. Using the maximum principle, it derives an asymptotic construction of extremal triples by perturbing the linear optimal proces…
This paper extends Reiter’s section theorem for quotient spaces of locally bicompact groups. It proves that for a locally bicompact group with a closed subgroup, every paracompact zero-dimensional subset of the quotient admits a homeomorphic section under the natural projection, using inverse spectr…
The paper studies when a Hölder continuous function prescribed on a Lyapunov boundary is the boundary value of a function analytic in several complex variables. It constructs Cauchy and Cauchy-type integrals for an elliptic first-order system built from a Clifford algebra representation, derives pri…
This paper examines how moisture affects elastic wave velocities in crystalline rocks, with implications for interpreting seismic velocity sections of the Earth’s crust. Longitudinal wave velocities were measured in dry, air-dry, water-saturated, and oil-saturated samples from the Baltic Shield and …
This note studies smooth projective curves of genus greater than one over function fields and addresses Shafarevich’s finiteness conjecture in this setting. Using height bounds on Hilbert scheme points associated with canonical embeddings, estimates for minimal fibrations, and a rigidity argument ba…
The paper studies the reconstruction of a function from Fourier coefficients known with small square summable random errors, using regularized summation factors. It formulates optimality problems for choosing either a regularization parameter for a fixed stabilizing functional or the full sequence o…
The paper studies finite form solutions of a Hill equation with real period containing first and second harmonics. By applying an exponential substitution and seeking the remaining factor as a finite trigonometric sum with integral or half integral frequencies, the problem is reduced to algebraic ei…
The paper reports measurements of the spectral dependence of photo-emf in purified thin anthracene single crystals using transparent SnO2 electrodes and high-resistance electrometric detection. In the fundamental absorption region the photo-emf has the sign associated with hole conductivity, but at …
This paper analyzes the axisymmetric response of an elastic shallow spherical shell immersed in an ideal compressible fluid to a plane step shock pressure wave. The shell is attached along its circular contour to a rigid spherical screen through an elastic rib, and the formulation combines linear sh…
This paper examines the debated origin of the K beta 5 x-ray emission line in 3d metals, especially whether it reflects 3d states, 4p states, or hybridized band contributions. The authors estimate dipole and quadrupole transition probabilities using matrix elements for 3p to 1s and 3d to 1s transiti…
This study examines whether radioactive and externally irradiated potassium sulfate crystals retain surface charge, a question difficult to address by conventional electrical measurements because of ionization effects near radioactive samples. Cleavage or fracture surfaces of crystals containing sul…
The paper studies spaces of smooth mappings from a compact Riemannian manifold into a compact Riemannian manifold of negative, or in parts nonpositive, curvature through the Dirichlet functional and its harmonic critical points. It derives second variation type identities, analyzes the associated pa…
This paper examines the composition and elastic properties of candidate upper mantle rocks and minerals using measured longitudinal and transverse wave velocities for ultrabasic rocks from the Monchegorsk pluton, supplemented by shock-compression data and published mineral data. Density, bulk modulu…
This paper examines the origin of multiplet structure in quasilinear spectra of organic molecules in frozen n-paraffin matrices, questioning whether such multiplets can be explained solely by distinct spatially separated emitting centers. Fluorescence and absorption spectra of free phthalocyanine an…
This note studies inverse boundary-value problems with two unknown coefficients for a quasilinear parabolic equation and for a related ordinary differential equation with piecewise constant spatial coefficients. It formulates overdetermined boundary and matching conditions, defines the appropriate s…
This paper examines the use of transverse and converted waves in deep seismic sounding of the Earth’s crust, based on recordings of industrial explosions in the Urals by “Zemlya” seismic stations. The authors compare longitudinal and transverse wave fields under low-frequency filtering and identify …
The paper develops an averaging approach for constructing asymptotic approximations of arbitrary order for differential systems with deviating arguments and small parameters. It treats retarded systems with constant, variable, state-dependent, and parameter-dependent delays, including cases where th…
This paper studies linear stationary controlled systems with unknown inputs of bounded rate of change, focusing on how the greatest accumulated reproduction error is related to the degree of stability and oscillatory character of the system. It derives exact or bounded estimates for first and second…
The paper studies differential properties of solutions to constant coefficient quasielliptic equations in the whole space, focusing on estimates in unbounded domains rather than local regularity. It introduces Sobolev type, interpolation, weighted trace, and Hölder type function classes adapted to t…
This paper studies limit theorems for continuous functionals of measurable random processes, extending earlier results for functionals of integral type. For processes on the unit interval whose finite-dimensional distributions converge and which satisfy a uniform moment bound together with a stochas…
This paper studies the local analytic behavior of eigenvalues and eigenvectors of a positively directed symplectic curve arising from a linear differential system with analytic periodic coefficients and positive definite Hamiltonian matrix, near a point where a multiple eigenvalue lies on the unit c…
The paper studies regularization algorithms for approximately solving linear equations with closed, densely defined unbounded operators between real Hilbert spaces, in the case where the inverse is not bounded. Using the spectral resolution of the self-adjoint operator A*A, it constructs a family of…
The paper examines the statistical description of a crystal particle localized near a lattice node within the self-consistent-field approximation. Starting from the relation between one-particle and binary distribution functions, it argues that the usual multiplicative approximation must be suppleme…
The paper reports ultrasonic measurements of longitudinal and transverse sound velocities in polycrystalline silver chloride under pressures up to 100 kbar at room temperature. Using a high pressure piston apparatus with external quartz transducers and pressure calibration by reference metal transit…
The paper develops an algebraic framework for Volterra integral operators used in linear viscoelasticity, especially for models with continuous relaxation or retardation spectra where explicit resolvent construction may be difficult. It proves general multiplication, inversion, and power formulas fo…
This paper studies the equations of motion for a heavy rigid body moving in an infinite incompressible ideal fluid, allowing multiply connected cavities filled with vortex-free ideal fluid and including cyclic fluid motion. Starting from Chaplygin-type equations expressed through the impulsive force…
The paper studies the Riemann boundary value problem for analytic functions in domains bounded by rectifiable Jordan curves whose tangent angle is the sum of a bounded variation term and a Hölder continuous term, including curves of bounded rotation. It proves boundedness of the Cauchy singular inte…
This paper analyzes the parametric instability of a liquid surface in a homogeneous alternating electric field normal to the interface. Using linear stability theory for a viscous incompressible liquid with a conducting or high-permittivity boundary condition, the authors derive an equation for surf…
The paper studies large intervals, or cube faces contained in the support, of a random Boolean function on n variables with independent equiprobable values at the vertices. It introduces the number of k-dimensional intervals and the maximum interval dimension, then proves that when k grows with n an…
This paper examines the origin of complex infrared absorption bands in sodium nitrate, especially whether they should be attributed to librations of nitrate ions or to combinations of internal and external lattice vibrations. Polarized infrared spectra of oriented single crystals were measured from …
The paper studies which Whitehead torsions can occur for homotopy equivalences of closed odd-dimensional manifolds, especially under the restriction that tangent bundles are identified and the relative normal invariant is trivial. Using a cobordism whose relative homology is concentrated in the midd…
The paper studies a special concave programming problem in which a separable concave objective is minimized over a polyhedron defined by nonnegativity and nested cumulative linear inequalities. It shows that an optimum is attained at a vertex and derives structural properties of these vertices, limi…
This note surveys and extends an operator approach to integral representations of holomorphic functions, chiefly for bounded convex complete multicircular domains in several complex variables. It argues that Temlyakov’s integral formula should be understood as operatorial both in the function and in…
The paper investigates how the energy spectra of secondary ions depend on scattering geometry when molybdenum single crystal faces are bombarded by low energy heavy cesium ions. Measurements for the Mo(100) surface at varying incidence angles are compared with elastic collision calculations for sing…
The paper studies generalized equiparametric manifolds associated with an m-dimensional surface in an n-dimensional projective space, focusing on manifolds whose elements are an invariant basic plane with a marked point and, more generally, a point, tangent m-plane, and associated (m+1)-planes. Usin…
This paper studies closed extensions of differential operators in a bounded domain and the stability of normal solvability and Fredholm index under weak perturbations of boundary conditions. Using Hilbert space decompositions associated with maximal and adjoint operators, compactness criteria, and r…
