Translated papers from the Chinese Preprint site, Chinaxiv
Showing 50 of 15540 papers
Generated abstract This paper addresses the difficulty of solving boundary value problems in shallow shell theory caused by the lack of complete systems of solutions for the governing equations. Using integral representations of the general solution, it constructs families of regular solutions expressed through comple…
Generated abstract This paper develops a time-dependent theory for the generation power of organic dye lasers without assuming equality between gain and loss coefficients. Starting from rate equations for pump absorption, stimulated emission, losses, and population accumulation at a metastable level, it derives approx…
Generated abstract This paper investigates short-wave radio pulses accompanying detonations of spherical solid high-explosive charges and examines whether their time characteristics can be used to infer ionization conditions behind the explosion shock wave. Radio emission was recorded at frequencies above 1 MHz for ch…
Generated abstract The paper investigates whether vapors produced by intense irradiation of a solid surface can become opaque and shield the surface from further incident radiation. Using an explosive light source formed by a shock wave in argon or xenon, the authors irradiated targets of several materials and recorde…
Generated abstract This paper reports measurements of the infrared absorption spectrum of liquid water at elevated temperatures, extending the accessible range to 4500 to 1500 cm−1 by using high-resistivity single-crystal silicon windows in a high-temperature cuvette. The authors describe corrections for thermal emiss…
Generated abstract This study examines density variations among natural diamond varieties, including ordinary transparent crystals, coated diamonds, ballas, and carbonado, using a modified high-precision flotation method with improved temperature control. Densities were determined by comparing specimen equilibrium tem…
Generated abstract Stationary diffusion of particles near partially absorbing, or gray, bodies is formulated for linear transport equations and boundary conditions by decomposing the distribution function according to the number of nonabsorbing collisions with the body. The paper shows that the gray-body problem can b…
Generated abstract Low frequency oscillations in a bounded low pressure helium plasma placed in an axial magnetic field are investigated experimentally with controlled variation of the end electrode potential. Using Langmuir probes and spectral measurements, the study shows that oscillations arise when the end potenti…
Generated abstract This paper formulates equations of nonlinear elasticity in terms of displacements for finite deformations, using Green, Almansi, and Hencky strain tensors together with true and generalized stress tensors. It derives variational relations, stress potentials, boundary conditions, and constitutive law…
Generated abstract This paper studies the dynamics of a simple nonlinear impulse control system containing an integrating element, a static nonlinearity, and a linear distributed element governed by a parabolic boundary-value problem. Using point transformations at impulse instants, it derives finite-iteration mapping…
Generated abstract This paper studies cardinal invariants of Hausdorff bicompact spaces, especially the Suslin number, bitightness, and the character and height of points. It introduces the notions of height, bitightness, and divergence, establishes closure and decomposition lemmas for compact spaces, and uses them to…
Generated abstract The crystal structure of isothiocyanato-dinitro-(ethylenediamine)-amminecobalt(III) was determined to verify the ligand configuration inferred from chemical substitution reactions and the trans influence. Monoclinic crystals in space group P21/c were studied by X-ray diffraction using Patterson and …
Generated abstract This note studies Euler normal classes for smooth immersions and embeddings, focusing on immersions homotopic to a fixed immersion and on embeddings of closed nonorientable manifolds in Euclidean space. In the metastable range it describes the realizable normal classes of immersions in terms of the …
Generated abstract This paper studies the non-self-adjoint differential operator \(Ly=-y''+p(x)y\) in \(L^2(-\infty,\infty)\), where \(p\) is complex-valued, with emphasis on square-integrable solutions and discreteness of the spectrum. Using an analogue of Prüfer’s substitution, the second-order equation is reduced t…
Generated abstract This study examines the evaporation kinetics of sodium chloride and the interaction of molecular beams containing NaCl monomers and Na2Cl2 dimers with tantalum and deposited sodium chloride films. Using a molecular beam apparatus with mass spectrometric detection, the authors measured Langmuir evapo…
Generated abstract This note generalizes Craig’s theorem on the independence of quadratic forms in independent standard normal variables. It considers a quadratic polynomial Q and an arbitrary polynomial statistic P of a multivariate normal vector, and proves that P and Q are independent if and only if an orthogonal c…
Generated abstract This paper studies when a subspace of a countable inductive limit of locally convex spaces is itself determined by the induced inductive system, either at the level of duals or topologically. It introduces conditions M0 and M for inductive limits and proves necessary and sufficient criteria for prop…
Generated abstract The paper develops a generalized Hartree-Fock treatment for a nonideal Bose gas at temperatures well below the critical temperature, using one-particle two-time temperature Green functions with anomalous averages included. It argues that the standard Hartree-Fock closure produces an unphysical gap i…
Generated abstract This paper studies the asymptotic behavior of cubature error functionals in Sobolev type spaces \(L_2^{(m)}(\Omega)\), extending earlier results for the whole Euclidean space \(L_2^{(m)}(E_n)\). Using Hilbert space decompositions, extension operators, and bounded inverse arguments, it proves that a …
Generated abstract This paper examines the time dependence of the electron and ion current fractions in the near-cathode region of an arc discharge, focusing on the development of a cathode spot. Using a nonstationary diffusion model with ion production by electron-impact ionization near the cathode, the authors deriv…
Generated abstract This note studies linear, integral, convolution, and superposition operators in generalized Hölder spaces defined by a concave modulus function. It proves continuity of positive linear operators between such spaces, establishes automatic continuity for integral operators under mapping assumptions, a…
Generated abstract The paper studies generalized differentiation of continuous functions of two variables and related summability properties of double trigonometric Fourier series. It defines several mixed, symmetric, averaged, and circular difference quotients and proves existence theorems showing that a continuous f…
Generated abstract This paper develops a nonlinear analogue of the Newtonian, or Riesz, potential adapted to the study of \((p,l)\)-capacity in Euclidean space for \(p>1\), \(pl<n\). Using Fourier-defined Sobolev-type spaces and an associated energy for generalized functions and measures, it establishes potential-theo…
Generated abstract This paper studies convergence of products of non-identical probability measures on compact groups, asking whether representatives can be chosen from each right-translate class so that every sequence of such representatives has a convergent product. It defines complete sets of measures, proves closu…
Generated abstract This paper discusses theoretical and numerical issues in modeling ultralong atmospheric waves for possible medium range weather prediction over one to three weeks. It proposes using a two level Phillips type hydrodynamic model, augmented by effects of surface inhomogeneity, orography, boundary layer…
Generated abstract The paper studies the first boundary value problem for a second order elliptic equation in a planar domain where the equation degenerates parabolically on part of the boundary. Using Sobolev space formulations, adjoint integral identities, and a priori estimates under sign and boundary coefficient c…
Generated abstract This paper presents a laser backscatter method for determining cloud microphysical parameters from lidar sounding data. The authors derive a layer by layer expression for the cloud scattering coefficient under the assumption of single scattering, then relate this coefficient to liquid water content …
Generated abstract The paper derives a fundamental equation for radiation acoustics by supplementing the linearized hydrodynamic equations for a quiescent homogeneous gas with radiative heat exchange under Kirchhoff’s law, neglecting scattering and mechanical radiation forces. It reduces the coupled system to fifth-or…
Generated abstract This note extends generalized Cauchy, Schwarz, and Poisson integral formulas associated with systems of weight functions in the class considered by Dzhrbashyan and in the author’s earlier work. It introduces two systems of functions and the corresponding moment sequences, then defines transformed Ca…
Generated abstract This paper develops a quantum theory of transverse conductivity and the Hall angle for polarons in three-dimensional disordered systems where dc transport is governed by nonadiabatic hopping between localized centers. Using Kubo-formula expressions with approximate averaging over local energy fluctu…
Generated abstract This paper studies the local sample path structure of separable Gaussian fields on compact spaces with continuous covariance kernels. Using the Mercer, Hilbert-Schmidt expansion of the covariance operator, it establishes almost sure pointwise representation of the field by its spectral series, then …
Generated abstract This paper develops an approximate selective modeling of the Sun’s gravitational field in Einstein’s theory by replacing selected Schwarzschild geodesics with non-geodesic curves in a flat four-dimensional model space. Imposing spherical symmetry, staticity, and Lorentz-type equations of motion, the…
Generated abstract This paper examines how specular reflection of vapor molecules from capillary walls can alter gas transport in narrow capillaries, producing a flow regime distinct from ordinary Knudsen flow. The authors develop a model in which molecules reflected below a limiting angle have an increased transport …
Generated abstract This paper examines theoretical properties of solid-state lasers with very long resonators, motivated by the increased coupling of longitudinal modes, changes in spectral behavior, and possible approach to nonresonant feedback when resonator mode bands overlap. It proposes using an optical delay lin…
Generated abstract The paper studies spectral expansions and Riesz means associated with arbitrary nonnegative self-adjoint extensions of the Laplace operator in arbitrary domains, including cases with point, continuous, or mixed spectrum. Combining earlier methods for spectral expansions with Gårding’s theorem, it es…
Generated abstract This note studies spectral synthesis for invariant subspaces of the shift operator in weighted sequence spaces and the corresponding classes of analytic functions in the unit disk. It relates synthesis to quasianalyticity and uniqueness theorems for functions smooth up to the boundary, formulating c…
Generated abstract This paper examines the anomalous shock compressibility of quartzite, specifically the observed constancy of shock wave velocity over a broad pressure range from about 120 to 330 kbar. The authors argue that the effect is associated with the shock induced quartz to stishovite transformation, but dif…
Generated abstract This paper develops a theoretical treatment of combination scattering of sound by spin waves in cubic ferromagnets, including both magnetostrictive interactions and the intrinsic magnetoelastic effect. For a longitudinal incident sound wave propagating perpendicular to a constant internal magnetic f…
Generated abstract This paper investigates crater formation produced by millimeter-scale balls impacting strong rocks, porous rocks, pumice, and sand at velocities of 3 to 11.5 km/sec. Experiments measuring crater volume, shape, penetration behavior, and fragment ejection show that a simple proportionality between eje…
Generated abstract This paper studies weighted approximation of functions on the real line by algebraic polynomials with the Gaussian weight exp(-x²/2), using weighted Lp norms. It proves an inverse-type estimate for an antiderivative F of a function f, showing that the best weighted polynomial approximation error of …
Generated abstract The paper extends triangular representation and characteristic function factorization results for bounded operators close to unitary operators, allowing invertible operators whose spectra need not lie on the unit circle. For operators T on a separable Hilbert space with I minus T*T in a symmetricall…
Generated abstract This paper introduces a weight function for finite incidence structures with block multiplicities and uses it to study structures whose block sizes belong to a prescribed finite set and whose weights on all subsets of fixed size are specified. By double counting incidences within each equiblock comp…
Generated abstract The paper introduces theta-uniform spaces as a generalization of uniform spaces compatible with a topology, using theta-coverings of locally finite type by canonically open sets. It shows that every theta-uniformity induces a theta-proximity and that theta-uniformities on a space correspond to ordin…
Generated abstract The paper calculates absorption of microradio waves by atmospheric water vapor dimers using a previously developed rotational-spectrum model, extending earlier results to larger assumed spectral-line half-widths of 0.4, 0.8, and 1.6 cm-1 under sea-level atmospheric conditions. It argues that dimer l…
Generated abstract This paper studies one-dimensional nonstationary flows of a barotropic fluid with adiabatic index gamma equal to 2, a model relevant to several plasma, shallow-water, and nonlinear optical problems. Starting from the Euler equations, the authors show that this special case possesses an infinite sequ…
Generated abstract This paper extends analytic function and contour integral methods for three-dimensional elasticity from bodies of revolution to certain non-axisymmetric bodies whose surfaces can be represented as envelopes of a moving cylindrical surface. The method superposes plane strain and antiplane deformation…
Generated abstract This paper studies function spaces generated by measurable modular functions, called genfunctions, on sigma-finite measure spaces, extending earlier Musielak and Orlicz constructions under weaker hypotheses. It gives necessary and sufficient conditions for the associated space to admit a normal F-no…
Generated abstract This paper addresses Efremovich’s problem of characterizing which boundary homeomorphisms of the absolute spheres of two \(n\)-dimensional Lobachevsky spaces are induced by equimorphisms of the spaces. It proves that, for \(n \geq 2\), such an equimorphism exists if and only if the given boundary ma…
Generated abstract This paper develops a duality framework for convex multidimensional variational problems involving partial derivatives. It first defines Banach spaces generated by normal convex integrands, closely related to Orlicz spaces, and describes their duals, including absolutely continuous and singular comp…
Generated abstract This paper analyzes the feasibility and optimal operating conditions of a single-pulse carbon dioxide laser intended to extract high pulse energy from a large gas volume. The authors argue that uniform electron production, preferably by photoionization of a small cesium additive, can overcome limita…
