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 an asymptotic approach for solving equations governing the Brownian motion of aerosol particles near a smooth obstacle in a gas flow, focusing on small Stokes number and large Peclet number regimes. The analysis divides the flow into outer and near-surface regions, introduces str…
This study investigates the origin of green, brown, and blue coloration in synthetic quartz grown from carbonate solutions with iron or cobalt additives. Using electron paramagnetic resonance, optical absorption spectroscopy, annealing experiments, and electron microscopy, the authors compare the be…
This paper studies spectra associated with uniformly bounded families of finite-dimensional operators acting in normed spaces, introducing several notions of spectral kernels defined through asymptotic approximate eigenvalues. It establishes basic topological and inclusion properties of these kernel…
This paper studies conformally flat solutions of the Einstein equations for dust-like matter, reducing the problem for metrics conformal to flat spacetime to conditions on a single scalar conformal factor. It derives compatibility equations for this factor, together with expressions for the matter d…
This note studies relations among absolutely summing, semi-integral, quasi-nuclear, and generalized p- and q-quasi-nuclear mappings between locally convex and Banach spaces. Using tensor product formulations and nuclearity criteria, it characterizes absolutely summing operators via continuity of ind…
This paper introduces and studies multistage matrix games with inertia, in which each player’s admissible mixed strategies at a given step are constrained by the pure strategies realized in several preceding steps. The authors formalize inertia of finite depth, define limiting expected average payof…
This paper studies a quasilinear equation used as an approximate model for unsteady transonic potential flow, for which the usual Cauchy problem is inappropriate because planes of constant time are characteristic. A mixed boundary-value problem is formulated in a half-space with data prescribed on t…
The paper studies a class of nonlinear differential systems formed by a finite-dimensional linear part in feedback with a possibly history-dependent nonlinearity, under controllability, spectral, and quadratic inequality assumptions. Using a frequency-domain negativity condition for an associated He…
This note studies eigenvector systems of completely nonunitary contractions modeled as restrictions of the adjoint shift to invariant subspaces determined by inner operator functions. Under assumptions of isolated eigenvalues, complete eigenfunctions, and uniform minimality, it gives equivalent crit…
The paper analyzes why the sputtering coefficient of a solid target under ion bombardment initially increases with incidence angle but reaches a maximum and then decreases at grazing incidence. Using focuson theory and a scattering model that includes refraction of incident particles in the medium, …
This paper studies extremal cases in compact simply connected Riemannian spaces with sectional curvature bounded above by a positive constant and with closed geodesics bounded below in length by the corresponding spherical value. It proves that equality in the length of a closed geodesic, in the per…
This paper examines short-period transformations of Northern Hemisphere tropospheric circulation in relation to the macrostructure of the solar wind, especially transitions between fast quasi-stationary streams and quiet solar wind. Using solar synoptic charts, coronal observations, plasma and field…
This study examines whether ultrasound can enhance or replace mechanical expansion in a liquid-hydrogen bubble chamber for recording high-energy particle tracks. Experiments were performed in a 25 cm chamber exposed to 340 MeV negative pions, using a cylindrical focusing barium-titanate ultrasonic t…
This paper studies cones in affine space whose associated family of parallel translated cones is invariant under a group acting transitively on nonvertex points, with attention to when such symmetry forces the cone to be elliptic. It proves several classification theorems: under closedness, sharpnes…
The paper examines radiative transfer in a plane semi-infinite atmosphere whose quantum survival probability and scattering indicatrix may vary arbitrarily with optical depth. Using an expansion of the scattering indicatrix in Legendre polynomials, it presents integral expressions for the components…
This paper proposes a speculative framework for a unified theory of elementary particles based on special-relativistic space-time, pointlike world lines, and a universal ensemble of equally probable trajectories subject to topological restrictions. Drawing analogies with Edwards’s treatment of polym…
The paper studies a binary additive problem for representations of an integer N as N = n1 + n2, where all prime divisors of n1 are small and all prime divisors of n2 are large, relative to powers of N. It defines the counting function L(N, N1/alpha, N1/beta) and proves an asymptotic estimate for all…
This note gives necessary and sufficient conditions for subelliptic estimates for pseudodifferential operators in a domain, expressed through the principal symbol and the leading symbols of iterated commutators of the operator with its formal adjoint. The argument introduces an integer invariant mea…
This note studies how holomorphic quadratic differentials on closed Riemann surfaces of genus greater than one depend on the moduli of the surface. Using the Bers-Teichmüller realization of moduli by normalized quasiconformal mappings and a variational formula for solutions of the Beltrami equation,…
This paper examines the electric field at the cathode surface in the cathode spot of a vacuum arc and assesses the applicability of Mackeown’s collisionless space-charge equation. Using estimates of the cathode-fall thickness, particle mean free paths, and collision cross sections for electron scatt…
This note studies two-level iterative schemes for solving linear operator equations with a self-adjoint positive operator in a Hilbert space. Implicit schemes are reduced to equivalent explicit schemes, allowing convergence estimates to be expressed through norms of resolving or transition operators…
This note formulates existence results for elliptic boundary value problems in bounded plane domains with corners and with internal curves of coefficient or boundary condition discontinuity reaching the boundary. Using weighted Sobolev spaces, the argument reduces local model problems near corners a…
This note studies the boundary-layer equations for a stationary axisymmetric flow of a compressible fluid in the case of Prandtl number equal to one, using the corresponding relation between enthalpy and longitudinal velocity. By introducing variables based on the ratio of the velocity to the outer-…
This paper addresses the determination of the Prandtl Karman constant in wall-bounded turbulent flow using a phenomenological stability principle for averaged velocity profiles. The authors argue that the logarithmic region governed by the Prandtl Taylor friction law is central to the formation of t…
This paper numerically investigates ionization instability in a low-temperature magnetized plasma carrying an electric current, using a simplified two-dimensional model with constant electron temperature, constant conductivity, and no diffusion processes. The formulation couples an elliptic equation…
This paper proves the consistency of the fragment NF3 of Quine’s New Foundations, consisting of those axioms whose stratification uses at most three type levels. Using Specker’s criterion, the argument reduces consistency to the construction of a model of three-type theory admitting an epsilon-isomo…
This note studies a singular Nicoletti boundary value problem for a system of first order ordinary differential equations with conditions imposed at prescribed points, allowing the right hand sides to have nonintegrable singularities at those points. Using Carathéodory type assumptions, comparison f…
This paper reports optical experiments on negative dispersion of light in a neodymium-activated calcium tungstate crystal near the 1.06 micrometer transition of Nd3+, a region where ordinary absorption from the lower level is not observed because that level is nearly unpopulated. The authors use opt…
Observations with the DKR-1000 radio telescope at Pushchino in the meter-wavelength range led to the discovery and initial characterization of the pulsar PP 0943. The paper reports intermittent pulse detections at 70 to 90 MHz, estimates its position, and gives a principal period of about 1.093 s, w…
This paper studies non-uniqueness phenomena in the coefficient problem for normalized univalent functions in the unit disk, focusing on solutions of the differential-functional equations that give necessary extremality conditions for the coefficient functional. Using subclasses with p-fold rotationa…
This paper applies Feynman path integrals to the numerical calculation of the helium atom energy spectrum, with emphasis on the ground state as a test case for a many-particle quantum system. The electronic action is discretized along broken-line trajectories in reduced units, the finite-dimensional…
Vinogradov develops a variant of Morse theory for incomplete spaces of the form M setminus K, where M is complete and K is a closed subset, by introducing responsible and noncritical points and proving a fundamental homotopy invariance lemma under admissibility conditions. The method is applied to t…
The paper develops a generalized implicit function theorem for operators in Banach spaces under weakened differentiability assumptions, requiring only control of the deviation from the derivative at the origin and uniform boundedness of inverse linearizations. This result is applied to bounded solut…
This paper studies local analytic quasigroups defined by analytic mappings between equal-dimensional manifolds and develops canonical power-series decompositions for their defining equations. Using isotopic coordinate transformations and an induction on homogeneous degree, it proves the existence an…
This note studies necessary first order conditions for a class of nonsmooth minimization problems with equality constraints, convex inequality constraints, and an additional constraint requiring one variable to be selected by an operator depending on the other. Using a feasible directions framework,…
This paper studies boundedness of Calderón-Zygmund type singular integral transformations in weighted \(L_p\) spaces, extending results of Riesz, Babenko, and Stein. Using a method related to Hardy and Littlewood, it gives necessary and sufficient sharp ranges for several multidimensional weights, i…
This paper studies relationships among dyadicity, dimension, metrizability, and cardinal invariants for bicompact spaces, with particular attention to open images of products of metric compacta. It introduces openly dyadic bicompacta, establishes structural properties of this class, and proves metri…
This paper studies two person zero sum games whose payoff is a continuous function on the unit square, focusing on the size and structure of the set of games with unique optimal strategies. It proves that games with a unique solution and finite spectra of optimal strategies are dense in the space of…
This paper studies localization and convergence of Fourier series associated with fundamental systems of functions of the polyharmonic operator, a class that includes eigenfunction systems of nonnegative self-adjoint extensions of the minimal polyharmonic operator. Using earlier methods together wit…
A variational formulation is developed for the Helmholtz boundary value problem describing monochromatic wave propagation in a three dimensional waveguide with general smooth boundary and either impedance type or Dirichlet boundary conditions. The solution is expanded in prescribed transverse functi…
This paper introduces a boundary projection operator for finite multidimensional systems of linear difference equations with constant matrix coefficients, under a nonvanishing condition on the characteristic matrix on the unit torus. Using contour integral formulas for coefficient matrices, it const…
This paper studies groups of generalized motions in Riemannian spaces using the notion of defect of invariance for manifolds under continuous transformation groups. It defines the defect of a Riemannian space relative to a group, proves a coordinate invariant rank formula analogous to the Killing eq…
This paper examines the additional condition required at the end of a crack, which is not determined by the equations of motion and deformation alone. Using general local and energetic considerations for continuous media with displacement discontinuities, the authors argue that crack growth laws can…
The paper studies two-layer, one-step iterative schemes for solving linear equations with positive non-self-adjoint operators in Hilbert spaces. It reduces implicit stationary iterations to explicit schemes and analyzes the norm of the transition operator in order to choose optimal or near-optimal i…
This note develops estimates for surface potential type singular integrals whose kernels depend on a generalized difference of arguments defined through a Bessel generalized shift operator. The authors introduce weighted fractional norms in a half space, relate them in the Hilbert case to norms defi…
This paper examines how the real electrical and defect structure of solid surfaces influences the formation and properties of liquid and solid boundary layers. Drawing on electron microscopic decoration studies and experiments on oriented nucleation through amorphous films, it argues that charged su…
This paper examines the applicability of Fokker Planck kinetic equations to rapid plasma processes when the random electric field has a finite correlation time. Using a simplified one-dimensional homogeneous model, the authors show that the particle velocity alone is generally a non-Markov process, …
