Study on the 3D Green＇s functions of the fluid and piezoelectric bimaterials

Because most piezoelectric devices have interfaces with fluid in engineering, it is valuable to study the coupled field between fluid and piezoelectric media. As the fundamental problem, the 3D Green＇s functions for point forces and point charge loaded in the fluid and piezoelectric bimaterials are studied in this paper. Based on the 3D general solutions expressed by harmonic functions, we constructed the suitable harmonic functions with undetermined constants at first. Then, the couple field in the fluid and piezoelectric bimaterials can be derived by substitution of harmonic functions into general solutions. These constants can be obtained by virtue of the compatibility, boundary, and equilibrium conditions. At last, the characteristics of the electromechanical coupled fields are shown by numerical results.

Location and moment tensor inversion of small earthquakes using 3D Green＇s functions in models with rugged topography： application to the Longmenshan fault zone

With dense seismic arrays and advanced imaging methods, regional three-dimensional （3D） Earth models have become more accurate. It is now increasingly feasible and advantageous to use a 3D Earth model to better locate earthquakes and invert their source mechanisms by fitting synthetics to observed waveforms. In this study, we develop an approach to determine both the earthquake location and source mechanism from waveform information. The observed waveforms are filtered in different frequency bands and separated into windows for the individual phases. Instead of picking the arrival times, the traveltime differences are measured by cross-correlation between synthetic waveforms based on the 3D Earth model and observed waveforms. The earthquake location is determined by minimizing the cross-correlation traveltime differences. We then fix the horizontal location of the earthquake and perform a grid search in depth to determine the source mechanism at each point by fitting the synthetic and observed waveforms. This new method is verified by a synthetic test with noise added to the synthetic waveforms and a realistic station distribution. We apply this method to a series of Mw3.4-5.6 earthquakes in the Longmenshan fault （LMSF） zone, a region with rugged topography between the eastern margin of the Tibetan plateau and the western part of the Sichuan basin. The results show that our solutions result in improved waveform fits compared to the source parameters from the catalogs we used and the location can be better constrained than the amplitude-only approach. Furthermore, the source solutions with realistic topography provide a better fit to the observed waveforms than those without the topography, indicating the need to take the topography into account in regions with rugged topography.

System and Realization Path of Xi Jinping s Eco-poverty Alleviation Concept under the Vision of Green Development

Since the 18 th National Congress of the Communist Party of China,General Secretary Xi Jinping delivered a series of speeches on ecological environment and poverty governance,forming the Xi Jinping s eco-poverty alleviation ideology.In this paper,the Xi Jinping s eco-poverty alleviation ideology is taken as the research object.Using the methods of literature analysis and comparative analysis,the origin of eco-poverty alleviation theory is explored from the common prosperity theory and the theory of ecological capital,and the practice foundation is found out from practical cases.The relationship between the ecological damage and poverty is systematically analyzed,and the mechanism of ecological poverty is explored in detail.The basic connotation of Xi Jinping s eco-poverty alleviation is expounded,and it consists of three parts:guiding ideology layer,implementation layer,and guarantee layer.By perfecting and innovating the market mechanism,social management mechanism,performance evaluation mechanism,integration mechanism with other poverty alleviation methods,and ecological immigration mechanism of ecological poverty,the realization of Xi Jinping s eco-poverty alleviation concept could be guaranteed.

A Case of Warthin’s Tumor Together with IgG4-Related Sialadenitis

Warthin’s tumor is the second most frequent neoplasm next to pleomorphic adenoma in the salivary gland. The tumor contains the epithelial oncocyte cells with the presence of rich-mitochondria and their surrounding abundant lymphocytes. A relatively new disease entity of IgG4-related disease frequently occurs in the salivary gland. However, the coexistence of Warthin’s tumor and IgG4-related disease is scarcely observed. We have recently experienced a rare case of Warthin’s tumor with IgG4-related sialadenitis. A 51-year-old man presented to our hospital, complaining of a mass with right submandibular tenderness and spontaneous pain. A computed tomography scan of the cervical region revealed a suspicion of lymph node proliferative disease, including malignant lymphoma. Elevated serum levels of IL-2R: 1843 U/ml (reference value 122 - 496 U/ml), IgG: 3430 mg/dl (reference value 861 - 1747 mg/dl), and IgG4: 3140 mg/dl (reference value 11 - 121 mg/dl) were observed. Other laboratory data showed within normal ranges. The cervical tumor was diagnosed as Warthin’s tumor by the findings of fine-needle aspiration cytology and biopsy examination. Immunohistochemistry revealed numerous IgG4- and IgG-positive cells with fibrosis surrounding the epithelial component of Warthin’s tumor, suggesting IgG4-rerated sialadenitis. Finally, we diagnosed the cervical tumor as Warthin tumor with IgG4-related sialadenitis. This is the second report describing a case of Warthin’s tumor with possible involvement of IgG4-related sialadenitis.

Existence of Monotone Positive Solution for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function

This paper is concerned with the following fourth-order three-point boundary value problem , where , we discuss the existence of positive solutions to the above problem by applying to the fixed point theory in cones and iterative technique.

Continuum Skyrme Hartree-Fock-Bogoliubov theory with Green’s function method for neutron-rich Ca,Ni,Zr,and Sn isotopes

The possible exotic nuclear properties in the neutron-rich Ca,Ni,Zr,and Sn isotopes are examined with the continuum Skyrme Hartree-Fock-Bogoliubov theory in the framework of the Green’s function method.The pairing correlation,the couplings with the continuum,and the blocking effects for the unpaired nucleon in odd-A nuclei are properly treated.The Skyrme interaction SLy4 is adopted for the ph channel and the density-dependentinteraction is adopted for the pp chan-nel,which well reproduce the experimental two-neutron separation energies S_(2n)and one-neutron separation energies Sn.It is found that the criterion S_(n)>0 predicts a neutron drip line with neutron numbers much smaller than those for S_(2n)>0.Owing to the unpaired odd neutron,the neutron pairing energies−E_(pair)in odd-A nuclei are much lower than those in the neighbor-ing even-even nuclei.By investigating the single-particle structures,the possible halo structures in the neutron-rich Ca,Ni,and Sn isotopes are predicted,where sharp increases in the root-mean-square(rms)radii with significant deviations from the traditional rA^(1∕3)rule and diffuse spatial density distributions are observed.Analyzing the contributions of various partial waves to the total neutron densityρlj(r)∕ρ(r)reveals that the orbitals located around the Fermi surface-particularly those with small angular momenta-significantly affect the extended nuclear density and large rms radii.The number of neutrons Nλ(N_(0))occupying above the Fermi surfacen(continuum threshold)is discussed,whose evolution as a function of the mass number A in each isotope is consistent with that of the pairing energy,supporting the key role of the pairing correlation in halo phenomena.

绿色信贷政策、ESG表现与高污染企业资本结构调整

绿色信贷政策作为结构性去杠杆的重要举措,对于高污染企业资本结构升级大有裨益。与此同时,ESG概念的提出明确了企业发展需着重考量环境(E)、社会(S)和公司治理(G)三方面的表现,即企业ESG表现也将作用于高污染企业资本结构调整。因此,论文以2011—2020年中国A股上市的高污染企业为研究样本,基于ESG表现视角,探究绿色信贷政策对高污染企业资本结构调整的作用效果。研究表明:1)绿色信贷政策显著促进高污染企业资本结构调整,区分企业负债水平后发现,相比于低负债企业,绿色信贷政策显著加快高负债污染企业的资本结构调整速度;2)绿色信贷政策会提升高污染企业的ESG表现,企业ESG表现会削弱绿色信贷政策对高污染企业资本结构调整的促进效果;3)在深入探讨企业融资约束和商业信用程度的异质性是否会影响绿色信贷政策的实施效果时,发现相较于面临弱融资约束和拥有高商业信用的企业,绿色信贷政策显著促进面临强融资约束和低商业信用的高污染企业调整资本结构。因此,探讨绿色信贷政策与高污染企业资本结构调整的关系对优化信贷资源配置、推动高污染企业绿色转型意义重大。

GREEN'S FUNCTION AND THE POINTWISE BEHAVIORS OF THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM

The pointwise space-time behaviors of the Green’s function and the global solution to the Vlasov-Poisson-Fokker-Planck(VPFP)system in three dimensional space are studied in this paper.It is shown that the Green’s function consists of the diffusion waves decaying exponentially in time but algebraically in space,and the singular kinetic waves which become smooth for all(t,x,v)when t>0.Furthermore,we establish the pointwise space-time behaviors of the global solution to the nonlinear VPFP system when the initial data is not necessarily smooth in terms of the Green’s function.

Green's functions of two-dimensional piezoelectric quasicrystal in half-space and bimaterials

In this paper,we obtain Green’s functions of two-dimensional(2D)piezoelectric quasicrystal(PQC)in half-space and bimaterials.Based on the elastic theory of QCs,the Stroh formalism is used to derive the general solutions of displacements and stresses.Then,we obtain the analytical solutions of half-space and bimaterial Green’s functions.Besides,the interfacial Green’s function for bimaterials is also obtained in the analytical form.Before numerical studies,a comparative study is carried out to validate the present solutions.Typical numerical examples are performed to investigate the effects of multi-physics loadings such as the line force,the line dislocation,the line charge,and the phason line force.As a result,the coupling effect among the phonon field,the phason field,and the electric field is prominent,and the butterfly-shaped contours are characteristic in 2D PQCs.In addition,the changes of material parameters cause variations in physical quantities to a certain degree.

Nonequilibrium Green＇s function method for quantum thermal transport

This review deals with the nonequilibrium Green＇s function （NEGF） method applied to the problems of energy transport due to atomic vibrations （phonons）, primarily for small jtmction systems. We present a pedagogical introduction to the subject, deriving some of the well-known results such as the Laudauer-like formula for heat current in ballistic systerms. The main aim of the review is to build the machinery of the method so that it can be applied to other situations, which are not directly treated here. In addition to the above, we consider a nmnber of applications of NEGF, not in routine model system calculations, but in a few new aspects showing the power and usefulness of the formalism. In partkaflar, we discuss the problems of multiple leads, coupled left-right-lead system, and system without a center. We also apply the method to the problem of full counting statisties. In the case of nonlinear svstems, we make general comments on the thermal expansion effect. phonon relaxation timv. and a certain class of mean-field approximations. Lastly, we examine the relationship between NEGF. reduced density matrix, and master equation approaches to thermal transport,

F_(2)O_(2)S促进吡嗪N-氧化物的合成

吡嗪N-氧化物广泛运用在有机合成、生物医药和含能材料领域。传统合成方法主要是双氧水/乙酸氧化体系,会造成环境污染,同时也限制了对酸敏感底物的使用。因此,发展吡嗪N-氧化物的绿色合成方法变得尤为迫切。以2,5-二甲基吡嗪为模板底物,通过筛选反应的投料比,碱和溶剂,得到了最优的反应条件:以甲醇为反应溶剂,底物、H_(2)O_(2)和NaHCO_(3)的物质的量之比为1.0∶1.2∶3.6,在F_(2)O_(2)S的促进下,于室温反应50 min。合成的11个吡嗪N-氧化物(2a~2k)的产率为10%~84%,其结构通过^(1)H NMR,^(13)C NMR和MS(ESI)确证。2,6-二甲氧基吡嗪的2个氮原子处于不同的化学环境,通过确认氮氧化反应的选择性,对化合物2f进行单晶X-射线衍射实验,确定该氧化反应优先发生在位阻较小的4-位N原子。该反应可以在弱碱性条件下进行,避免了酸的使用,符合绿色化学理念。

The Green's function of the harmonic horizontal force applied at the interior of the saturated half-space soil

By using integral transform methods, the Green(s functions of horizontal harmonic force applied at the interior of the saturated half-space soil are obtained in the paper. The general solutions of the Biot dynamic equations in frequency domain are established through the use of Hankel integral transforms technique. Utilizing the above- mentioned general solutions, and the boundary conditions of the surface of the half-space and the continuous conditions at the plane of the horizontal force, the solutions of the boundary value problem can be determined. By the numerical inverse Hankel transforms method, the Green(s functions of the harmonic horizontal force are obtainable. The degenerate case of the results deduced from this paper agrees well with the known results. Two numerical examples are given in the paper.

Study on Characteristics of 3-D Translating-Pulsating Source Green Function of Deep-Water Havelock Form and Its Fast Integration Method

The singularities, oscillatory performances and the contributing factors to the 3-＇D translating-pulsating source Green function of deep-water Havelock form which consists of a local disturbance part and a far-field wave-like part, are analyzed systematically. Relative numerical integral methods about the two parts are presented in this paper. An improved method based on LOBATTO rule is used to eliminate singularities caused respectively by infinite discontinuity and jump discontinuous node from the local disturbance part function, which makes the improvement of calculation efficiency and accuracy possible. And variable substitution is applied to remove the singularity existing at the end of the integral interval of the far-field wave-like part function. Two auxiliary techniques such as valid interval calculation and local refinement of integral steps technique in narrow zones near false singularities are applied so as to avoid unnecessary integration of invalid interval and improve integral accordance. Numerical test results have proved the efficiency and accuracy in these integral methods that thus can be applied to calculate hydrodynamic performance of floating structures moving in waves.

Green's functions for uniformly distributed loads acting on an inclined line in a poroelastic layered site

Based on one type of practical Biot＇s equation and the dynamic-stiffness matrices ofa poroelastic soil layer and half-space, Green＇s functions were derived for unitformly distributed loads acting on an inclined line in a poroelastie layered site. This analysis overcomes significant problems in wave scattering due to local soil conditions and dynamic soil-structure interaction. The Green＇s functions can be reduced to the case of an elastic layered site developed by Wolf in 1985. Parametric studies are then carried out through two example problems.

SYBR GreenⅠ实时荧光PCR检测食品中转基因成分方法的初步建立

目的:建立SYBR GreenⅠ实时荧光PCR方法检测食品中转基因成分35S启动子和NOS终止子,并对样品进行检测。方法:以大豆Lectin基因为内源性基因,以转基因食品中常用的花椰菜花叶病毒启动子(Ca MV35S)和根癌农杆菌终止子(NOS)基因为目标基因,设计并合成3对特异性引物,优化反应条件,使用SYBR GreenⅠ染料实时荧光PCR检测35S启动子和NOS终止子,并做熔解曲线分析。同时利用该方法对胡萝卜、青豆、玉米、马铃薯等实际样品进行检测。结果:运用该方法检测8份样品,有4份检出35S基因和NOS基因成分。结论:SYBR GreenⅠ实时荧光PCR方法能有效检测出35S和NOS两种转基因成分,简便、快速。

NONLINEAR EVOLUTION SYSTEMS AND GREEN’S FUNCTION

In this paper, we will introduce how to apply Green＇s function method to get the pointwise estimates for the solutions of Cauchy problem of nonlinear evolution equations with dissipative structure. First of all, we introduce the pointwise estimates of the time-asymptotic shape of the solutions of the isentropic Navier-Stokes equations and show to exhibit the generalized Huygen＇s principle. Then, for other nonlinear dissipative evolution equations, we will only introduce the result and give some brief explanations. Our approach is based on the detailed analysis of the Green＇s function of the linearized system and micro-local analysis, such as frequency decomposition and so on.

Existence of Positive Solutions of Second-order Periodic Boundary Value Problems with Sign-Changing Green＇s Function

In this paper, we consider the existence of positive solutions of second-order periodic boundary value problem where 0 〈 ε 〈 1/2, g ： [0, 2π] →R is continuous, f ： [0, ∞） →R is continuous and λ 〉 0 is a parameter.

Green's function of multi-layered poroelastic half-space for models of ground vibration due to railway traffic

This study proposes a Green＇s function, an essential representation of water-saturated ground under moving excitation, to simulate ground borne vibration from trains. First, general solutions to the governing equations of poroelastic medium are derived by means of integral transform. Secondly, the transmission and reflection matrix approach is used to formulate the relationship between displacement and stress of the stratified ground, which results in the matrix of the Green＇s function. Then the Green＇s function is combined into a train-track-ground model, and is verified by typical examples and a field test. Additional simulations show that the computed ground vibration attenuates faster in the immediate vicinity of the track than in the surrounding area. The wavelength of wheel-rail unevenness has a notable effect on computed displacement and pore pressure. The variation of vibration intensity with the depth of ground is significantly influenced by the layering of the strata soil. When the train speed is equal to the velocity of the Rayleigh wave, the Mach cone appears in the simulated wave field. The proposed Green＇s function is an appropriate representation for a layered ground with shallow ground water table, and will be helpful to understand the dynamic responses of the ground to complicated moving excitation.

Decoupling coefficients of dilatational wave for Biot's dynamic equation and its Green's functions in frequency domain

Green＇s functions for Blot＇s dynamic equation in the frequency domain can be a highly useful tool for the investigation of dynamic responses of a saturated porous medium. Its applications are found in soil dynamics, seismology, earthquake engineering, rock mechanics, geophysics, and acoustics. However, the mathematical work for deriving it can be daunting. Green＇s functions have been presented utilizing an analogy between the dynamic thermoelasticity and the dynamic poroelasticity in the frequency domain using the u-p formulation. In this work, a special term ＂decoupling coefficient＂ for the decomposition of the fast and slow dilatational waves is proposed and expressed to present a new methodology for deriving the poroelastodynamic Green＇s functions. The correct- ness of the solution is demonstrated by numerically comparing the current solution with Cheng＇s previous solution. The separation of the two waves in the present methodology allows the more accurate evaluation of Green＇s functions, particularly the solution of the slow dilatational wave. This can be advantageous for the numerical implementation of the boundary element method （BEM） and other applications.

In-plane dynamic Green's functions for inclined and uniformly distributed loads in a multi-layered transversely isotropic half-space

The dynamic stiffness method combined with the Fourier transform is utilized to derive the in-plane Green’s functions for inclined and uniformly distributed loads in a multi-layered transversely isotropic（TI）half-space.The loaded layer is fixed to obtain solutions restricted in it and the corresponding reactions forces,which are then applied to the total system with the opposite sign.By adding solutions restricted in the loaded layer to solutions from the reaction forces,the global solutions in the wavenumber domain are obtained,and the dynamic Green’s functions in the space domain are recovered by the inverse Fourier transform.The presented formulations can be reduced to the isotropic case developed by Wolf（1985）,and are further verified by comparisons with existing solutions in a uniform isotropic as well as a layered TI halfspace subjected to horizontally distributed loads which are special cases of the more general problem addressed.The deduced Green’s functions,in conjunction with boundary element methods,will lead to significant advances in the investigation of a variety of wave scattering,wave radiation and soil-structure interaction problems in a layered TI site.Selected numerical results are given to investigate the influence of material anisotropy,frequency of excitation,inclination angle and layered on the responses of displacement and stress,and some conclusions are drawn.