RussiaRxiv · Open Access in English
Translated research papers from Russian journals and repositories
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Showing 50 of 15540 papers
Generated abstract This paper studies local smoothness, differentiability, and singular behavior of generalized solutions to an inhomogeneous one-speed transport equation in a bounded three-dimensional domain decomposed into finitely many subdomains with piecewise smooth interfaces. Using integral representations alon…
Generated abstract This paper examines vibrational relaxation in collisions of two diatomic molecules modeled as harmonic oscillators with close but not necessarily identical frequencies. By retaining quasiresonant one-quantum exchange terms while neglecting strongly adiabatic single-molecule and two-quantum transitio…
Generated abstract The paper studies systems of second-order partial differential equations of composite type in two variables, represented by a complex equation whose characteristics include one double real family and two imaginary families. It shows that a general equation of this type can be reduced, under suitable…
Generated abstract The paper calculates the angular and spectral radiation of a relativistic electron-positron pair moving through the atmosphere while undergoing multiple scattering in the presence of the Earth’s magnetic field. It derives averaged expressions for two linear polarizations, including separate particle…
Generated abstract The paper studies optimal questionnaires for identifying one event from a finite weighted set when questions may have different arities and unequal costs. It models a questionnaire as a rooted tree or pragraph, defines the expected traversal cost as the weighted sum of path costs, and analyzes trans…
Generated abstract The paper develops a probabilistic framework for branching systems described by ordinary differential equations whose right-hand sides may change across prescribed time intervals according to probability measures depending on prior states. It defines state spaces, branching solution processes, reali…
Generated abstract This paper investigates diffuse X-ray scattering in AlAg single crystals containing 20 and 40 wt.% silver during the zone stage of aging. Using the crystal-rotation method after quenching and short tempering, the authors reconstruct diffuse-scattering regions near multiple reciprocal-lattice nodes a…
Generated abstract This paper studies a generalized Carleman boundary value problem for analytic functions in a simply connected domain with a Lyapunov boundary, where the boundary transformation may preserve or reverse orientation and the condition includes both the function and its complex conjugate. The authors red…
Generated abstract This note derives necessary optimality conditions for an optimal control problem with fixed endpoints, differential dynamics, mixed equality constraints, and set constraints of inequality type, considering variations that are small in absolute value. Under stated smoothness, cone, and nondegeneracy …
Generated abstract The paper reports an independent X-ray refinement of the crystal structure of ramsaite, Na2Ti2Si2O9, undertaken to verify and improve an earlier closest-packing-based model. Single-crystal Weissenberg data and three-dimensional least-squares refinement in space group Pnca gave atomic coordinates for…
Generated abstract This paper studies pseudodifferential operators on a smooth compact manifold that are elliptic away from a hypersurface but degenerate on it in a prescribed quasihomogeneous manner. It introduces adapted Sobolev-type spaces and analyzes boundary and coboundary conditions imposed on the degeneracy su…
Generated abstract Electron paramagnetic resonance spectra of Mn2+ and Gd3+ ions in TlAsSe2 and TlAsS2 chalcogenide glasses were studied in the 2 and 0.8 cm bands and compared with earlier 3 cm results to clarify the origin of anomalous lines with effective g factors greater than 2. The frequency dependence of the Mn2…
Generated abstract The paper studies complex K-theory with coefficients for an odd prime p, relating Adams-Toda homotopy operations to differentials in the Atiyah-Hirzebruch spectral sequence. It constructs cellular spaces representing mod p K-theory with prescribed homotopy groups and uses them to define 2(p-1)-perio…
Generated abstract This paper investigates whether ultrasonic alternating deformation accelerates diffusion in the Cu-Zn system, focusing on growth of gamma and epsilon intermetallic phases around zinc inserts in copper rods. Copper specimens were subjected to longitudinal ultrasound at 18.6 kHz during isothermal hold…
Generated abstract This paper establishes a priori estimates up to the boundary for solutions of elliptic boundary value problems in norms adapted to functions analytic in tangential variables. Using Schauder-type estimates and commutator bounds, it proves an estimate for uniformly elliptic operators in a layer with b…
Generated abstract This note formulates an inverse problem for scalar diffraction of a plane wave by a sphere whose surface admittance is expanded in Legendre polynomials with coefficients depending on the nondimensional parameter kr0. The objective is to choose these coefficients so that, in the low-frequency limit, …
Generated abstract This paper establishes Phragmén-Lindelöf type estimates for solutions of second order evolution equations with constant complex coefficients in an infinite slab, under two-point boundary conditions in the time variable. For equations previously characterized as well posed, it shows that suitably str…
Generated abstract This paper studies the asymptotic distribution of extreme order statistics \(x_{kn}\) when \(k\to\infty\) and \(k/n\to 0\), emphasizing conditions for both integral and local asymptotic normality. It introduces a class of locally regular distributions, formulated through the behavior of \(p_F(\lambd…
Generated abstract The study reports pulse method measurements of the velocity of ultrasound in argon at pressures up to 4000 bar and temperatures from 25 to 200°C, using a frequency of about 6 MHz and an estimated velocity accuracy of 0.3%. The measured pressure and temperature dependences are compared with earlier d…
Generated abstract This note studies Kolmogorov’s weak dependence condition for the past and future of Gaussian stationary processes, expressed through the coefficient beta. For discrete time, it gives a necessary and sufficient spectral characterization: the spectral density must factor as the squared modulus of a po…
Generated abstract The paper studies local energy decay for the exterior Dirichlet problem for the wave equation in odd-dimensional Euclidean space outside a bounded obstacle. It introduces the class of almost star-shaped domains, defined by the existence of a family of strictly convex level surfaces satisfying a geom…
Generated abstract This note studies the spectrum and Fredholm properties of singular integral operators with piecewise continuous coefficients in weighted spaces on smooth contours. Using a weighted index constructed from the jumps of the coefficient functions and the exponents of the weight, it gives necessary and s…
Generated abstract The paper studies symmetric continuity and symmetric differentiability of arbitrary order for real functions on an interval when the symmetric differences are restricted to increments from a fixed set Q accumulating at zero. It classifies such sets by measure and density conditions near zero and pro…
Generated abstract The paper establishes maximum principles of absolute-extremum type for solutions of certain second-order hyperbolic equations in characteristic triangular domains under sign and regularity conditions on the coefficients. These principles are applied to mixed elliptic-hyperbolic equations of Lavrent’…
Generated abstract This paper develops a diffraction-theoretical treatment of shadow photometric knife-edge and slit methods, in which geometrical optics predicts a linear relation between ray deflection angle and image-plane illumination. Using the Huygens-Fresnel principle for the focal plane and image plane of the …
Generated abstract This paper examines how different types of intramolecular orientational motion affect proton spin-lattice magnetic relaxation in crystalline amino acids. Measurements of relaxation times over a range from 77 K to the melting point show separate low-temperature and high-temperature minima, attributed…
Generated abstract The paper addresses measurement of the quantity of a dielectric medium distributed arbitrarily within a closed vessel, where conventional readings may depend on the shape and position of the filled region. It develops a resonant electromagnetic method in which metallic surfaces or lines form a field…
Generated abstract The paper studies completeness in domains of systems of analytic functions obtained by taking successive derivatives with respect to a parameter in a generating function \(F(z,u)=\sum \varphi_n(z)u^n\), evaluated at prescribed nodes. Using the Abel Goncharov interpolation formula, it derives criteri…
Generated abstract The paper examines stochastic energy pumping into nonlinear waves as an analogue of stochastic acceleration of charged particles in random fields. Using the Korteweg de Vries equation with a weak stationary random external force, it derives an evolution equation for the wave energy and shows that, f…
Generated abstract This paper examines why powerful underground explosions can produce damaging seismic effects in buildings at ground vibration velocities well below the commonly used Soviet critical value of 10 cm/sec. It argues that, unlike smaller shallow explosions, large explosions create a much wider hazardous …
Generated abstract This note studies invariants for the action induced by conjugation of the group of upper triangular unipotent matrices on lower triangular matrices, a problem connected with Kirillov’s reduction of the classification of irreducible unitary representations. It introduces “tensor” sections determined …
Generated abstract The paper defines a broad class of finite dimensional dynamical systems of hydrodynamic type, characterized by quadratic nonlinear equations, conservation of phase volume, and a positive definite quadratic energy integral, as a framework for studying integral invariants relevant to turbulence statis…
Generated abstract This study examines how amorphous polymer boundary layers can retain and transmit the orienting influence of crystalline substrates during crystallization. Anthraquinone was sublimed onto NaCl and mica surfaces and onto the contact sides of separated polyvinyl chloride and nitrocellulose films prepa…
Generated abstract This paper studies first boundary-value and Cauchy problems for higher-order strongly parabolic linear and nonlinear systems in one spatial dimension. It establishes a priori estimates in anisotropic Sobolev spaces for linear equations with merely measurable bounded coefficients, including L2 bounds…
Generated abstract The paper studies asymptotic estimates for incomplete trigonometric sums of the form \(\sum_{x\leq P}\exp(2\pi i ax^n/q)\), with \(q\) a high power of a prime and \(P=q^{1/r}\), extending earlier results on short sums and correcting previously misstated formulations. By separating the complete-sum c…
Generated abstract 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…
Generated abstract The paper studies two-person games on arbitrary convex subsets of finite-dimensional Euclidean spaces with a closed concave-convex payoff function. Using a representation of the payoff as a sum of closed concave-convex functions, it constructs conjugate functions, associated primal and dual optimiza…
Generated abstract This paper studies Riemannian spaces admitting a generally recurrent symmetric tensor of second order, a condition encompassing recurrent tensors, tensors associated with hyperquadrics, common geodesic metrics, and projective vector fields. By analyzing the compatibility of the defining differential…
Generated abstract 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…
Generated abstract The paper studies heat propagation in a composite one-dimensional rod made of two materials joined by an imperfect thermal contact, with insulated lateral surface, prescribed initial temperatures, and heat exchange conditions at the ends. The boundary-value problem is decomposed into parts with homo…
Generated abstract The paper studies iterated Cauchy problems for singular differential operator equations involving a parameter dependent radial derivative term, a linear operator in auxiliary variables, and spectral constants. It develops basis series representations that express solutions of higher order problems t…
Generated abstract 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 …
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
Generated abstract The paper analyzes angular interference effects in molecular photoionization, focusing on differential photoionization cross sections for oriented hydrogen molecules. Using a plane-wave approximation for the ejected electron, molecular wave functions including covalent and ionic contributions, and a…
Generated abstract 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…
Generated abstract 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…
Generated abstract 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…
