Translated papers from the Chinese Preprint site, Chinaxiv
Showing 50 of 15540 papers
Generated abstract This paper examines evidence for a low-velocity seismic waveguide in the crust of the Garm region of Central Asia. Using earthquakes from two localized focal zones as plunging sources, the authors construct and interpret systems of mean travel-time curves for longitudinal and transverse waves, suppl…
Generated abstract This paper studies the onset and post-critical development of cellular convection in an infinitely long horizontal gas layer heated from below, taking account of compressibility, the adiabatic temperature gradient, and gas properties beyond the Boussinesq approximation. The authors solve the two-dim…
Generated abstract The paper studies the minimization over a convex compact constrained set of a nonsmooth function defined as the maximum of finitely many continuously differentiable functions. It formulates stationarity in terms of the intersection of the convex hull of active gradients with the conjugate cone of fe…
Generated abstract This paper studies Lyapunov stability of the zero solution of a periodic analytic system of differential equations whose linear approximation has two purely imaginary characteristic exponents and all remaining exponents with negative real parts. Focusing on Lyapunov’s generally transcendental case, …
Generated abstract This note studies subdifferentials of composite convex functionals on Banach spaces, where a continuous convex mapping into a Banach lattice is composed with a monotone convex functional. It introduces a subdifferential for Banach lattice valued mappings and establishes conditions under which this s…
Generated abstract This paper presents a method for estimating the spectral width of the infrared luminescence line associated with the iodine atom transition in a photodissociation optical quantum generator operating at 1.315 micrometers. The authors use a Fabry Perot etalon with a time swept interference pattern, re…
Generated abstract This note extends first main theorems in value distribution theory for holomorphic mappings to compact complex target manifolds without imposing Kähler, homogeneous, or projective structure. The main construction proves that on any compact complex manifold with a normalized volume form there is a co…
Generated abstract This paper examines the use of Stark broadening of hydrogen spectral lines as a noncontact optical diagnostic of electric fields associated with turbulent plasma heating by direct discharge current. The authors derive and apply criteria distinguishing quasistatic ion-acoustic fields from high-freque…
Generated abstract This paper studies the time-dependent size of plastic zones in elastic-plastic bodies with aftereffect, focusing on a hollow sphere under internal and external pressure and related axially symmetric cylinder problems. Using operator constitutive relations for shear, volumetric response, and hardenin…
Generated abstract This note formulates a multidimensional Plateau problem for a new class of compact sets defined by homological boundary and relative cycle conditions in a compact Riemannian manifold. It proves an existence theorem for a measure-minimizing compact in this class and describes its regular part as a sm…
Generated abstract The paper examines quantities constructed from the Ricci tensor and a separated term containing second derivatives of the metric, arguing that in harmonic coordinates the resulting quantities can be interpreted as gravitational stresses. It derives a decomposition of the Einstein tensor into two par…
Generated abstract This paper studies stability of the residual method for ill-posed linear operator equations of the first kind in Banach spaces, where only a convex closed neighborhood filter of the exact right-hand side is given. The method selects the minimum-norm element among points whose image lies in the presc…
Generated abstract The paper studies absolute continuity of measures generated by solutions of differential equations with random Gaussian forcing in finite-dimensional Euclidean space. It compares a linear equation with a corresponding nonlinear equation containing an additional drift term, formulates conditions invo…
Generated abstract The paper examines the “chain effect” in glancing scattering of argon ions by the [110] atomic chains on the (100) face of a copper single crystal. Using numerical calculations based on earlier scattering models, it analyzes how the reflected ion energy as a function of scattering angle changes with…
Generated abstract The paper determines the crystal structure of landauite from the Burpala massif using X-ray diffraction data, Patterson projections, electron-density maps, and least-squares refinement. It evaluates alternative chemical and symmetry models and finds that the centrosymmetric space group A2/a with the…
Generated abstract The paper extends a Hartogs type regularity result to generalized analytic functions of several complex variables satisfying first order systems with complex partial derivatives and analytic coefficient functions subject to compatibility conditions. It defines weak solutions through one variable wea…
Generated abstract The paper studies topological Markov chains defined by shifts on the two-sided path space of a connected countable directed graph, focusing on when the supremum of metric entropies is attained by an invariant measure. It first analyzes a class of special graphs through a generating series for return…
Generated abstract This paper formulates a variational and Hamiltonian representation for the equations of ideal magnetohydrodynamics, extending Davydov’s canonical treatment of ideal fluid hydrodynamics. By introducing a decomposition of the velocity field in terms of the density, magnetic field, scalar potential, an…
Generated abstract This note develops partial Fredholm-type solvability results for nonlinear operator equations in Banach spaces with completely continuous operators that possess an asymptotic derivative. Using a finite-dimensional algebraic lemma and the Schauder-Tikhonov fixed point principle, it proves necessary a…
Generated abstract This note analyzes features of the interband Faraday effect in heavily doped semiconductors near the absorption edge, focusing on how electron degeneracy and randomly distributed impurity potentials modify ellipticity and rotation. Using a simple band model with Landau-level summation and a classica…
Generated abstract This note establishes integral and local limit theorems for large deviations of normalized sums of independent, centered random variables with finite variances. Using three classes of growth functions introduced by Linnik and exponential moment conditions of the form involving h of the summands, it …
Generated abstract This note formulates a general scheme for a method used in several classes of discrete optimization problems, including production allocation, integer linear programming, discrete programming, concave programming, and reliability problems. The problem is to minimize a function on a finite feasible s…
Generated abstract The paper studies normalized equilibrium points in concave n-person games and develops iterative methods generalizing the conditional-gradient approach for computing them under convexity and regularity assumptions. It proves convergence results for three step-size rules, including subsequential conv…
Generated abstract This paper introduces the hysterant operator as a mathematical tool for describing hysteresis-type nonlinearities arising in Prager-Ishlinskii models of elastic-plastic behavior. The authors define an elementary hysterant first for continuous piecewise-linear inputs and then extend it to arbitrary c…
Generated abstract The paper extends Efimov-type results on complete surfaces of negative curvature from Euclidean three-space to three-dimensional Riemannian spaces with nonpositive sectional curvature. For a complete surface with negative extrinsic curvature, it derives generalized fundamental equations in asymptoti…
Generated abstract The paper studies boundary value problems for quasilinear parabolic systems in the Douglis, Nirenberg, and Solonnikov sense, with linear boundary conditions and zero initial data in anisotropic Sobolev spaces. Using an abstract solvability theorem for nonlinear equations in Banach spaces together wi…
Generated abstract The paper applies the contour integral method to multidimensional mixed problems for second order parabolic systems in a three-dimensional domain, with boundary conditions that include a time derivative. Under assumptions on the spectrum of the coefficient matrix, regularity and boundedness of the c…
Generated abstract The paper studies conditions under which a normal subgroup of a finite group admits a complement or, more generally, a complement relative to a specified set of primes. It proves that a normal subgroup has a prime set complement when, for each prime in the set, the intersection with a Sylow subgroup…
Generated abstract The paper proposes an axiomatic construction of locally Euclidean, locally symplectic, and locally non-Euclidean geometries of constant curvature as instances of the theory of physical structures. It formulates a principle of phenomenological symmetry for a set of points equipped with symmetric or a…
Generated abstract This paper analyzes the pinch effect in a bipolar semiconductor plasma when one or both carrier species are strongly degenerate, a regime not covered by the usual nondegenerate gas model. For an infinite plate carrying longitudinal current, the carrier distribution is reduced under quasineutrality a…
Generated abstract The paper studies integral operators in \(L_2\) spaces whose kernels satisfy Carleman, semi-Carleman, Akhiezer majorization, and symmetric variants of these conditions. It formulates and solves classification problems giving necessary and sufficient conditions for an operator to belong to each class…
Generated abstract The paper studies pseudodifferential operators with a finite group of shifts on a connected manifold with an effective finite group action. By associating such an operator to a group invariant pseudodifferential operator on the product of the manifold with the group, it gives a necessary and suffici…
Generated abstract This paper studies a conjugation problem for three analytic functions connected by boundary conditions on a smooth closed contour through two branches of the square root. The authors reduce an associated jump problem to two classical Riemann boundary value problems, construct canonical factorizing f…
Generated abstract The paper reports an X-ray crystallographic determination of hydrothermally synthesized sodium titanogermanate, Na2(TiO)[GeO4], in order to assess its structural relation to analogous silicates and the role of germanium in tetrahedral coordination. Using three-dimensional Patterson analysis and refi…
Generated abstract This paper studies ergodicity for generally noncommutative, partially semigroup families of stochastic linear operators acting on spaces of summable elements in complete topological semifields. It defines distributions, stochastic operators, ergodic and strongly ergodic families, and introduces a co…
Generated abstract A method is proposed for determining dislocation velocities in photochemically colored ionic crystals from the deformation luminescence produced during pulsed loading. The approach relates the number of emitted light quanta to the area swept by moving dislocations, using measured or previously deter…
Generated abstract This paper examines how the interaction between weakly coupled subsystems should be treated when constructing a stationary nonequilibrium density matrix. Using a spin system in constant and alternating magnetic fields as an example, it introduces the invariant part of the interaction Hamiltonian int…
Generated abstract This paper strengthens earlier results on evasion in linear differential games governed by a system with compact convex control sets for the pursuer and evader, where termination occurs when the phase vector reaches a fixed subspace. It proves an evasion theorem for the case in which the orthogonal …
Generated abstract This paper investigates long-period zero drift in seismometers as a possible manifestation of a nonlocal geophysical phenomenon. Using continuous records from a thermocompensated SVKD seismometer, spectral comparison, smoothing, and correlation analysis, the study finds stable drift spectra, weak as…
Generated abstract This paper determines the number of topological types of several classes of dyadic spaces for an infinite cardinal parameter. It proves that dyadic compact spaces of weight τ have exactly 2^τ types, dyadic compact spaces of density τ have exactly 2^(2^τ) types, and dyadic spaces of density τ have ex…
Generated abstract This paper presents an exact algorithm for the maximum flow problem in a directed network with arbitrary nonnegative capacities, avoiding the rounding required by earlier methods for noncommensurable data. The method iteratively augments flow along shortest augmenting paths in the residual network, …
Generated abstract The paper studies homotopy invariance of rational Pontryagin numbers for closed oriented smooth and PL manifolds, focusing on pairings of Hirzebruch L-polynomials with intersections of codimension one homology classes. It proves that numbers of the form obtained by evaluating L_k on such intersectio…
Generated abstract This paper formulates a fiducial approach for statistical models dominated by a common measure, defining the fiducial distribution as a limiting posterior obtained from maximum entropy priors on increasing finite-measure subsets of the parameter space. For models with sample and parameter spaces act…
Generated abstract The paper determines the crystal structure of the monoclinic modification of potassium zirconium diorthosilicate, K2ZrSi2O7, using X-ray diffraction data, Patterson analysis, electron-density syntheses, and least-squares refinement. The structure has space group P21/b, with Zr in nearly regular octa…
Generated abstract This paper establishes a homeomorphism theorem for general elliptic boundary value problems in Sobolev type spaces without assuming that the boundary conditions are normal. For a properly elliptic operator with boundary expressions that may be pseudodifferential tangentially and differential normall…
Generated abstract This note establishes criteria for normal solvability, meaning closed range, of systems of singular integral operators on vector-valued \(L_2\) spaces of the form \(T=aP+bQ\), where \(P\) and \(Q\) are complementary Cauchy projection operators and \(a,b\) are continuous matrix functions on the unit …
Generated abstract This paper develops an analogue of the Kuratowski and Dugundji extension theorem for metrizable uniform spaces and uniformly continuous maps. It introduces and uses the relative large dimension of a subset, defined through Isbell’s large uniform dimension and the nearness relation, to formulate exte…
Generated abstract This paper studies Hadamard well-posedness of the Cauchy problem for an abstract evolution equation with a closed linear operator in a Banach space, under the assumption that the positive half-axis is excluded from the point spectrum. It defines a maximal domain of well-posedness in terms of bounded…
Generated abstract This paper examines how gas content, impurities, and porosity in copper influence the dimensions and character of zones produced by pulsed laser irradiation. Experiments using a neodymium glass laser compared cathode, anode, black, vacuum-remelted, as-delivered, and porous copper under melting and c…
Generated abstract This paper studies the motion of a mass attached to a one-dimensional elastic-plastic element, modeled by a second order differential equation containing a Prager-Ishlinskii hysteresis operator. Under finiteness of the total elastic modulus and summability of the initial plastic state, the authors p…
