Littlewood—Paley算子及Marcinkiewicz积分在Campanato空间εa,p上的有界性

我们证明了下述结果:若f∈ε^a,p,则适当限制参数值时,有g(f)(x)(S(f)(x),g_λ^*(f)(x),μ(f)(x))<∞a.e.,或者g(f)(x)(S(f)(x),g_λ^*(f)(x),μ(f)(x))<∞a.e.;并且在前者成立时,有g(f)(S(f),g_λ^*(f),μ(f))∈ε^a,p,以及‖g(f)‖_a,p     

An explicit finite difference procedure for contact-impact analysis of crack edges

Summary A finite difference procedure is proposed to simulate the frictional contact-impact response of crack edges. The procedure takes into account in an explicit way separation, stick contact and slip contact of the crack edges. Numerical examples are presented to show the influence of the contactimpacting of crack edges on the history of dynamic stress intensity factors.     

Temperature measurement of nonsteady arcs

The temporal change of the radial temperature profile of a free burning argon arc at power frequency and a flashover arc near the surface of a polluted plate is experimentally determined with the help of a spectroscopic system, the detail of which is described in this paper. The image of the arc is scanned by a rotating 30-facet mirror drum over the entrance slit of a grating spectrometer. The intensity of up to four spectral lines can be simultaneously measured. The temperature results for the argon arc are derived by employing the absolute intensity method and the relative intensity method. This preliminary experimental investigation shows that the system is capable of measuring and monitoring the temperature development of nonsteady arcs which may be randomly moving in a known space     

Magnetic anomaly in superconducting FeSe

Synthesis, electrical and magnetic characterization of a superconducting FeSe_0.85 compound is reported. An anomaly in the magnetization against temperature around 90 K is observed. The magnetic characterization of a commercial compound with nominal FeSe stoichiometry is also presented. The overall magnetic behaviors as well as the magnetic anomaly in both compounds are discussed in terms of magnetic impurities and secondary phases.     

The Calderón problem for quasilinear elliptic equations

In this paper we show uniqueness of the conductivity for the quasilinear Calderón's inverse problem. The nonlinear conductivity depends, in a nonlinear fashion, of the potential itself and its gradient. Under some structural assumptions on the direct problem, a real-valued conductivity allowing a small analytic continuation to the complex plane induce a unique Dirichlet-to-Neumann (DN) map. The method of proof considers some complex-valued, linear test functions based on a point of the boundary of the domain, and a linearization of the DN map placed at these particular set of solutions.     

An improved AUSM-family scheme with robustness and accuracy for all Mach number flows

With the increasing popularity of Computational Fluid Dynamics (CFD), the reliability of numerical scheme becomes prominent. The work presents a newly improved scheme more reliable in all Mach number regimes to circumvent some typical symptoms of the previous AUSM-family schemes observed in hypersonic and very low speeds. This scheme is facilitated by reconstructing pressure diffusion term in mass flux, velocity diffusion term in pressure flux and numerical sound speed. Then, a variety of benchmark test cases are selected to systematically assess the effects of these key ingredients and investigate the additional features in terms of robustness and accuracy. The proposed scheme attains stronger shock robustness against carbuncle instability, better low-speed accuracy and higher resolution of oblique shocks compared with many existing upwind schemes. Moreover, it can exactly resolve contact discontinuity, preserve positivity, damp numerical overshoots and avert the global cut-off strategy. Numerical results for a wide spectrum of Mach numbers indicate its potential and reliable application to all Mach number flows.     

弱化希尔伯特第16问题及其研究现状

V.I.Arnold多次提出如下问题:对于给定的自然数n≥2,所有n次多项式1-形式,沿一切可能的m≥3次闭代数曲线族的阿贝尔积分的孤立零点的最大个数Z(m,n)=?由Poincare-Pontryagin定理可知,当阿贝尔积分不恒为零时,A(n)=Z(n+1,n)给出n次Hamilton系统在n次多项式扰动下从原有周期环域分支出极限环的最大个数,因此Arnold把这个问题称为弱化的希尔伯特第16问题.30多年来,对此问题的研究取得了一定进展,也遇到了很大困难.本文拟对这个问题和相关研究工作做一个粗浅的介绍.     

Nuclear moments as a probe of electronic structure in material, exotic nuclear structure and fundamental symmetry

We report our studies in various fields of Physics through nuclear moments utilizing the β-NMR technique, including material sciences, nuclear structures and fundamental symmetries. Especially, we focus on the recent progress in the studies on the electronic structure in Pt through Knight shifts of various impurities, lattice locations of impurities, electric field gradients, the analysis of nuclear spin in terms of its components, anomaly in the spin expectation value for ⁹C-⁹Li mirror pair, the G-parity conservation law, and the Ramsey resonance on UCN for future neutron EDM measurements.     

Exchange interactions in rare-earth iron garnets

Exchange parameters previously reported for YbIG, ErIG and EuIG are compared. One of the three possible sets of parameters found for ErIG is shown to agree fairly well with the EuIG parameters and can also be fitted using an exchange potential. Tentative exchange potential parameters associated with the two types of superexchange pathways which couple the rare-earth ion to neighboring iron ions are obtained. A new method for calculating the YbIG exchange parameters is described and the parameters are compared with those reported previously.     

Intrinsic intermediate gap states of TiO2 materials and their roles in charge carrier kinetics

Titanium dioxide (TiO₂) is regarded as an important prototype photocatalytic material for several decades. The charge carrier kinetics determines the photocatalytic properties of TiO₂ materials; this is found to be greatly dependent on electronic structures. It has been revealed that the intrinsic intermediate gap states (intrinsic GSs) play a significant role in charge carrier kinetics that drive the photocatalytic processes of TiO₂ materials, which are not well summarized until now. Motivated by this thought, the purpose of this review focuses on physiochemical science of the intrinsic GSs of TiO₂ materials and their important role in charge carrier kinetics. We first give a summary on the chemical resources of the intrinsic GSs in TiO₂ and their physiochemical nature. Their general energy distribution, charge carrier population, and the associated thermodynamic properties are also elaborated from an overall viewpoint. We further carefully summarize and compare the experimental studies on the energy and the density distribution of the intrinsic GSs and discuss the associated chemical resources and charge carrier localizations. Trapping is the dominant function of intrinsic GSs in the charge carrier kinetics of TiO₂ materials. The significant effect of trapping on the transport, recombination, and interfacial transfer of charge carriers are also comprehensive summarized. Furthermore, the effects of charge carrier kinetics on photocatalytic performances are also discussed to some extents. Because of the importance of intrinsic GSs in modulating charge carrier kinetics, it is expected to increase the photocatalytic activity by engineering the intrinsic GSs, not only for TiO₂ materials, but also for the other semiconductor photocatalysts.