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Weighted Norm Inequalities with General Weights for the commutator of Calderón

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Acta Mathematica Sinica,english Series 2013年第3期29卷 505-514页

作者： Guo en HU Yue Ping ZHU Department of Applied Mathematics Zhengzhou Information Science and Technology Institute School of Science Nantong University

In this paper, by a sharp function estimate and an idea of Lerner, the authors establish some weighted estimates for the m-multilinear integral operator which is bounded from L1 （Rn） ×..…… L1 （Rn） to L1/m,∞（Rn）, and the associated kernel K（x; yl,.. , Ym） enjoys a regularity on the variable x. As an application, weighted estimates with general weights are given for the commutator of CalderSn.

关键词： Approximation to the identity weighted norm inequality singular integral operator max-imal operator non-smooth kernel

Transformation, Deformation and Microstructure Characteristics of Ru_(50)Ta_(50) High Temperature Shape Memory Alloy

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Journal of Materials Science & Technology 2006年第5期22卷 634-638页

作者： Zhirong HE Fang WANG Jing＇en ZHoU Department of Materials Science and engineering Shaanxi University of Technology Hanzhong 723003 China Library Shaanxi University of Technology Hanzhong 723003 China School of Materials Science and engineering Xi＇an Jiaotong University Xi＇an 710049 China

The basic martensitic transformation （MT） properties of Ru50Ta50 alloy, i.e. MT temperature （MTT）, temperature hysteresis （△T）, and MT heat （△H） were investigated in this paper. The effects of heat treatment and thermal cycling on MT behavior of Ru50Ta50 alloy, the deformation and microstructure characteristics of Ru50Ta50 alloy were also studied for its engineering application as high temperature actuator/sensor materials by means of differential scanning calorimetry, X-ray diffraction, transmission electron microscope, optical microscope, and hardness test. The results showed that a two-stage reversible MT takes place in Ru50Ta50 alloy. The two-stage MT starting temperatures （Ms^1, Ms^2） and the temperature hysteresis （△T1, △T2） are 1047, 784 and 11, 14℃, respectively. No significant effect of aging treatment and thermal cycling on MTT and AT of Ru50Ta50 alloy were observed, but △H decreases slowly with increasing thermal cycles. The hardness and brittleness of Ru50Ta50 alloy are high. The deformation mode of RuTa alloys is twinning.

关键词： RuTa alloy Shape memory alloy Martensitic transformation Heat treatment Thermal cycle

on 1-rate and 2-rate multicast 3-stage Clos networks

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Applied Mathematics(A Journal of Chinese Universities) 2009年第2期24卷 151-156页

作者： DoU Wen-qing YAo en-yu Dept. of Math. Shanghai Second Polytechnic Univ. Shanghai 201209 China Dept. of Math. Zhejiang Univ. Zhejiang 310027 China

The 3-stage Clos network C（n, m, r） is considered as the most basic and popular multistage interconnection network which has been widely employed for data communications and parallel computing systems. Quite a lot of efforts has been put on the research of the 3- stage Clos network. Unfortunately, very little is known for the multirate multicast Clos network which is the most complicated case. Firstly a sufficient condition for 1-rate multicast networks to be SNB is given, from which a result for 2-rate multicast networks to be WSNB can easily be gotten. Furthermore, by using a reservation-scheme routing, more specific result for 2-rate multicast networks to be WSNB can be obtained for the case of one of them exceeding 1/2.

关键词： 3-stage Clos network multirate multicast network strictly nonblocking wide-sense nonblocking

Sequences in the Hardness Ratio-Peak energy Plane of Gamma-Ray Bursts

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Chinese Journal of Astronomy and Astrophysics 2005年第2期5卷 151-158页

作者： Xiao-HongCui en-WeiLiang Rui-JingLu NationalAstronomicalobservatories／Yunnanobservatory ChineseAcademyofSciencesKunming650011／／GraduateSchooloftheChineseAcademyofSciencesBeijing100039 NationalAstronomicalobservatories／Yunnanobservatory ChineseAcademyofSciencesKunming650011／／DepartmentofPhysicsGuangxiUniversityNanning530004／／DepartmentofAstronomyNanjingUniversityNanjing210093 NationalAstronomicalobservatories／Yunnanobservatory ChineseAcademyofSciencesKunming650011／／DepartmentofPhysicsGuangxiUniversityNanning530004／／GraduateSchooloftheChineseAcademyofSciencesBeijing100039

The narrowness of the distribution of the peak energy of the νFν spectrum of gamma-ray bursts (GRBs) and the unification of GRB populations are great puzzles yet to be solved. We investigate the two puzzles based on the global spectral behaviors of different GRB populations, the long GRBs, the short GRBs, and the X-ray flashes (XRFs), in the HR?Ep plane (HR the spectral hardness ratio) with BATSE and HETE-2 observations. It is found that the long GRBs and the XRFs observed by HETE-2 seem to follow the same sequence in the HR?Ep plane, with the XRFs at the low end of this sequence. We fit the sequence by a universal Band function, and find that this sequence is mainly defined by the low energy index α, and is insensitive to the high energy index, β. With fixed β = ?5, a best fit is given by α = ?1.00 with χ2min/dof = 2.2. The long and short GRBs observed by BATSE follow significantly different sequences in the HR?Ep plane, with most of the short GRBs having a larger hardness ratio than the long GRBs at a given Ep. For the long GRBs a best-fit yields α = ?0.30 and β = ?2.05. For the short GRBs, a best fit gives α = ?0.60 with χ2min = 1.1 (with β fixed at -2.0 because it is numerically unstable). The α value for the short GRBs is significantly greater than that for the long GRBs. These results indicate that the global spectral behaviors of the long GRB sample and the XRF sample are similar, while that of the short GRBs is different. The short GRBs seem to be a unique subclass of GRBs, and they are not the higher energy extension of the long GRBs.

关键词： gamma ray: bursts gamma ray: observations methods: statistical

The Model for Two-dimensional Layout optimization Problem with Performance constraints and Its optimality Function

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Acta Mathematicae Applicatae Sinica 2004年第3期20卷 401-410页

作者： XuZhang en-minFeng DepartmentofAppliedMathematics DalianUniversityofTechnologyDalian116024China

This paper studies the two-dimensional layout optimization problem. An optimization model with performance constraints is presented. The layout problem is partitioned into finite subproblems in terms of graph theory, in such a way of that each subproblem overcomes its on-off nature optimal variable. A minimax problem is constructed that is locally equivalent to each subproblem. By using this minimax problem, we present the optimality function for every subproblem and prove that the first order necessary optimality condition is satisfied at a point if and only if this point is a zero of optimality function.

关键词： Two-dimensional layout problem semi-infinite optimization optimality function

coexistence of cluster and shell-model aspects in nuclear systems

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Frontiers of physics 2018年第6期13卷 89-113页

作者： Yoshiko Kanada-en'yo Hisashi Horiuchi Department of Physics Kyoto University Kitashirakawa Oiwake-Cho Kyoto 606-8502 Japan Research Center for Nuclear Physics (RCNP) Osaka University Ibaraki Osaka 567-0047 Japan

We discuss cluster phenomena in light nuclei. As examples of typical cluster structures, we first review cluster structures of 12C, 16o, and 20Ne, and then introduce some topics of cluster phenomena in light neutron-rich nuclei such as Be and C isotopes. A particular attention is paid on coexistence of cluster and shell-model aspects.

关键词： cluster nuclear structure

Unconventional Hamilton-type variational principles for electromagnetic elastodynamics

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Science China(Physics,Mechanics & Astronomy) 2006年第1期49卷 119-128页

作者： LUo en ZHU Huijian YUAN Lei Department of Applied Mechanics and engineering Sun Yat-sen University Guangzhou 510275 China Department of Applied Mechanics and Engineering Sun Yat-sen University Guangzhou 510275 China Department of Applied Mechanics and Engineering Sun Yat-sen University Guangzhou 510275 China

According to the basic idea of classical yin-yang complementarity and modern dual-complementarity, in a simple and unified new way proposed by Luo, the unconventional Hamilton-type variational principles for electromagnetic elastodynamics can be established systematically. This new variational principles can fully characterize the initial-boundary-value problem of this dynamics. In this paper, the expression of the generalized principle of virtual work for electromagnetic dynamics is given. Based on this equation, it is possible not only to obtain the principle of virtual work in electromagnetic dynamics, but also to derive systematically the complementary functionals for eleven-field, nine-field and six-field unconventional Hamilton-type variational principles for electromagnetic elastodynamics, and the potential energy functionals for four-field and three-field ones by the generalized Legendre transformation given in this paper. Furthermore, with this approach, the intrinsic relationship among various principles can be explained clearly.

关键词： electromagnetic elastodynamics, unconventional Hamilton-type variational principle, principle of virtual work, dual-complementarity, initial-boundary-value problem.

Characteristic Numbers of Matrix Lie Algebras

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communications in Theoretical Physics 2008年第4期49卷 845-850页

作者： ZHANG Yu-Feng FAN en-Gui Mathematical School Liaoning Normal University Dalian 116029 China Institute of Mathematics Fudan University Shanghai 200433 China

A notion of characteristic number of matrix Lie algebras is defined, which is devoted to distinguishing various Lie algebras that are used to generate integrable couplings of so.iton equations. That is, the exact classification of the matrix Lie algebras by using computational formulas is given. Here the characteristic numbers also describe the relations between so.iton solutions of the stationary zero curvature equations expressed by various Lie algebras.

关键词： characteristic number Lie algebra integrable couplings

Investigation of the inhomogeneous barrier height of an Au/Bi_4Ti_3o_(12)/n-Si structure through Gaussian distribution of barrier height

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Chinese Physics B 2012年第12期21卷 538-543页

作者： M.Gken M.Yildirim Department of Physics Faculty of Arts and SciencesDuzce University

A Au/Bi4Ti3o12/n-Si structure is fabricated in order to investigate its current voltage （IV） characteristics in a temperature range of 300 K-400 K. obtained I-V data are evaluated by the thermionic emission （TE） theory. Zero-bias barrier height （Ф0） and ideality factor （n） calculated from I-V characteristics, are found to be temperature-dependent such that ФB0 increases with temperature increasing, whereas n decreases. The obtained temperature dependence of ФB0 and linearity in ФB0 versus the n plot, together with a lower barrier height and Richardson constant values obtained from the Richardson plot, indicate that the barrier height of the structure is inhomogeneous in nature. Therefore, I-V characteristics are explained on the basis of Caussian distribution of barrier height.

关键词： Bi4Ti3o12 I-V characterization temperature dependence Gaussian distribution