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The evolution and morphological stability of a spherical crystal

Science china(Technological Sciences) 2008年第3期51卷 225-243页

作者： CHEN MingWen1,2, WANG ZiDong2 & XU JianJun3,4 1 school of Applied Sciences, university of Science and Technology Beijing, Beijing 100083, china 2 school of Materials Science and Engineering, university of Science and Technology Beijing, Beijing 100083, china 3 school of Mathematical Sciences, nankai university, tianjin 300071, china 4 Department of Mathematics and Statistics, McGill university, Montreal H3A 2K6, Canada 1. school of Applied Sciences University of Science and Technology Beijing Beijing 100083 China 2. school of Materials Science and Engineering University of Science and Technology Beijing Beijing 100083 China 3. school of Mathematical Sciences Nankai University Tianjin 300071 China 4. Department of Mathematics and Statistics McGill University Montreal H3A 2K6 Canada

The growth model of a spherical crystal in the undercooled melt including the surface energy, interfacial kinetics and convective flow is established. The effect of the convective flow induced by a small far field flow on the evolution and morphological stability of the interface of the spherical crystal is studied. The interface shape of the spherical crystal, which is affected by the far field flow, and the dispersion relation of the growth rate of amplitude of the perturbed interface are derived. It is shown that the convection induced by the far field flow makes the interface of the growing spherical crystal further grow in the upstream direction of the far field flow and inhibit growth in the downstream direction; the interface of the decaying spherical crystal further decays in the upstream direction and inhibits decay in the downstream direction. The theoretical result suggests that both the growth of the sphere in the upstream direction and the decay of the sphere in the downstream direction make the spherical crystal tend to evolve into an oval; the morphological stability of the interface depends on a certain radius R c such that the spherical crystal is unstable when its radius is greater than R c and stable when its radius is less than R c . The surface energy and interfacial kinetics have strong stabilizing effects on the growth of the spherical crystal. In the meantime interfacial kinetics is a table factor of the interface when the interface of the sphere is growing; it is an unstable factor of the interface when the interface is decaying.

关键词： solid-liquid interface spherical crystal convective flow crystal growth morphological stability

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Wave-packet method for instability of three-dimensionalboundary layer of swept wing

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Chinese Science Bulletin 1998年第6期43卷 461-464页

作者： ZHAO Gengfu Department of physics, tianjin university, tianjin 300072, china Department of physics Tianjin University Tianjin China

A wave-packet method is proposed to study evolution the behavior of disturbances in 3-D boundary layer on a swept plate. It is proved that the constant-phase lines are equivalent to the streaks observed in flow-visual... 详细信息

关键词： swept plate wave packet structure of streaks.

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Epidemic spreading behavior in local-world evolving networks

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Progress in Natural Science:Materials International 2008年第6期18卷 763-768页

作者： Chengyi Xiaa,b,*,Zhongxin Liu a,Zengqiang Chen a,Shiwen Sun b,Zhuzhi Yuan a aDepartment of Automation,nankai university,tianjin 300071,china bschool of Computer Science and Technology,tianjin university of Technology,tianjin 300191,china Department of Automation Nankai University Tianjin 300071 China school of Computer Science and Technology Tianjin University of Technology Tianjin 300191 China

The susceptible-infected-susceptible(SIS)epidemic model is presented which can be used to study the epidemic spreading behavior in the local-world evolving network ***-world evolving model displays a transition from the exponential network to the scale-free network with respect to the connectivity *** theoretical analyses and numerical simulations,we find that the epidemic spreading behavior on local-world networks also takes on some kind of transitional *** transitional behavior is further ver-ified by comparing the spreading behavior of local-world network with that of random and scale-free *** feasible control strategies are also proposed to keep from the epidemic spreading on networks.

关键词： Epidemic spreading Local-world model Complex networks Dynamics of systems

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K-quasi-additive fuzzy integrals of set-valued mappings

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Progress in Natural Science:Materials International 2006年第2期16卷 125-132页

作者： WANG Guijun and LI Xiaoping ( school of Mathematics Science, tianjin Normal university, tianjin 300074, china school of Management, tianjin Normal university, tianjin 300074, china) [a]school of Mathematics Science Tianjin Normal University Tianjin China [b]school of Management Tianjin Normal Universit Tianjin China

We first define the quasi-addition and quasi-multiplication operations by introducing the inductive operator, and then, in the K-quasi-additive fuzzy measure space, we establish the K-quasi-additive fuzzy integral of a generally measurable set-valued mapping. Applying the integral transformation theorem, some basic properties of the K-quasi-additive fuzzy integrals with respect to this kind of set-valued mapping are studied. Finally, the generalized monotone convergence theorems of this kind of fuzzy integrals are obtained.

关键词： set-valued mapping inductive operator integrable selections K-quasi-additive fuzzy integrals.

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Optimal error bound of restricted Monte Carlo integration on anisotropic Sobolev classes

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Progress in Natural Science:Materials International 2006年第6期16卷 588-593页

作者： GAO Wenhua, YE Peixin and WANG Hui (College of Mathematics and System Sciences, Xinjiang university, Urumqi 830046, china school of Mathematical Sciences and LPMC, nankai university, tianjin 300071, china Department of Mathematics, Ily Teachers' College, Yining 835000, china College of Science, Hehai university, Nanjing 210098, china) [a]College of Mathematics and System Sciences Xinjiang University Urumqi China [b]school of Mathematical Sciences and LPMC Nankai University Tianjin China [c]Department of Mathematics Ily Teachers College Yining China [d]College of Science Hehai University Nanjing China

We study the restricted Monte Carlo integration error for anisotropic Sobolev classes. Results prove that with O(log2 n) random bits we have the optimal order for the n-th minimal Monte Carlo integration error with ar... 详细信息

关键词： Monte Carlo integration random bits anisotropic Sobolev classes.

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Estimates of Central Moments for One Kind of Exponential-Type Operators

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Transactions of tianjin university 2011年第2期17卷 85-88页

作者：宋占杰杨振东叶培新 school of Sciences Tianjin University Institute of TV and Image Information Tianjin University school of Mathematics and LPMC Nankai University

In this paper,the explicit estimates of central moments for one kind of exponential-type operators are *** estimates play an essential role in studying the explicit approximation properties of this family of *** the proposed method,the results of Ditzian and Totik in 1987,Guo and Qi in 2007,and Mahmudov in 2010 can be improved respectively.

关键词： exponential-type operator central moment approximation property Stirling series

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Inflow conditions for spatial direct numerical simulation of turbulent boundary layers

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Science china(physics,Mechanics & Astronomy) 2008年第8期51卷 1106-1115页

作者： HUANG ZhangFeng & ZHOU Heng Department of Mechanics,tianjin university,tianjin 300072,china Liu-Hui Center of Applied Mathematics,nankai university and tianjin university,tianjin 300072,china 1. Department of Mechanics Tianjin University Tianjin 300072 China 2. Liu-Hui Center of Applied Mathematics Nankai University and Tianjin University Tianjin 300072 China

The inflow conditions for spatial direct numerical simulation(SDNS) of turbulent boundary layers should reflect the characteristics of upstream turbulence,which is a puzzle. In this paper a new method is suggested,in which the flow field obtained by using temporal direct numerical simulation(TDNS) for fully developed turbulent flow(only flow field for a single moment is sufficient) can be used as the inflow of SDNS with a proper transformation. The calculation results confirm that this method is feasible and effective. It is also found that,under a proper time-space transformation,all statistics of the fully developed turbulence obtained by both temporal mode and spatial mode DNS are in excellent agreement with each other,not only qualitatively,but also quantitatively. The normal-wise distributions of mean flow profile,turbulent Mach number and the root mean square(RMS) of the fluctuations of various variables,as well as the Reynolds stresses of the fully developed turbulence obtained by using SDNS,bear similarity in nature.

关键词： inflow conditions spatial direct numerical simulation turbulent boundary layer similarity

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Research progress in genomics of environmental and industrial microorganisms

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Science china(Life Sciences) 2009年第1期52卷 64-73页

作者： WANG Lei1,2,LIU Bin1,2 & ZHOU ZheMin1,2 1 TEDA school of Biological Sciences and Biotechnology,nankai university,tianjin 300457,china 2 tianjin Research Center for Functional Genomics and Biochip,tianjin 300457,china 1. TEDA school of Biological Sciences and Biotechnology Nankai University Tianjin 300457 China 2. tianjin Research Center for Functional Genomics and Biochip Tianjin 300457 China

Microbes contribute to geochemical cycles in the *** also play important roles in biodegradation and bioremediation of contaminated environments,and have great potential in energy conversion and *** to date,at least 150 genomes of non-pathogenic microbes have been sequenced,of which,the majority are bacteria from various environments or of industrial *** emerging field 'metagenomics' in combination with the high-throughput sequencing technology offers opportunities to discover new functions of microbes in the environment on a large scale,and has become the 'hot spot' in the field of environmental *** genomes of bacteria from various extreme environments,including high temperature,high and low pressure,and extreme acidic regions,have been sequenced by researchers in china,leading to the discovery of metabolic pathways,genetic functions and new enzymes,which are related to the niches those bacteria *** results were published in Nature,PNAS,Genome Research and other top international *** the meantime,several groups in china have started 'metagenomics' *** outcomes of these researches are expected to generate a considerable number of novel findings,taking Chinese researchers to the frontier of genomics for environmental and industrial microorganisms.

关键词： genomics microbiology and metagenomics

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An investigation of hadronization mechanism at a Z^0 factory

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Science china(physics,Mechanics & Astronomy) 2010年第11期53卷 1998-2004页

作者： JIN Yi 1,SI ZongGuo 2,XIE QuBing 2 & YAO Tao 2 1 Department of physics,university of Jinan,Jinan 250022,china 2 school of physics,Shandong university,Jinan 250100,china 1. Department of physics University of Jinan Jinan 250022 China2. School of Physics Shandong University Jinan 250100 China

We briefly review the hadronization pictures adopted in the LUND String Fragmentation Model (LSFM),Webber Cluster Fragmentation Model (WCFM) and Quark Combination Model (QCM),*** of hadron multiplicity,baryon to meson ratios and baryon-antibaryon flavor correlations,especially those related to heavy hadrons at a Z 0 factory obtained by LSFM and QCM,are reported.

关键词： Z0 factory hadronization model baryon to meson ratio B correlation

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Stochastic DEA model with undesirable outputs: An application to the prediction of anti-HIV therapy efficiency

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Progress in Natural Science:Materials International 2006年第7期16卷 753-759页

作者： BIAN Fuping and TANG Xiaoqin ( Department of Mathematics, school of Science, tianjin university, tianjin 300072, china Liuhui Institute of Applied Mathematics, nankai university and tianjin university, tianjin 300072, china) [a]Department of Mathematics School of Science Tianjin University Tianjin China [b]Liuhui Institute of Applied Mathematics Nankai University and Tianjin University Tianjin China

This paper proposes a stochastic prediction DEA model with undesirable outputs and simplifies the process using chance-constrained techniques in order to obtain an equivalent linear programming formulation. The existence and stability of the optimal solutions have been proved. And the model is used to describe and predict the efficiency of anti-HIV therapy in AIDS patients.

关键词： data envelopment analysis (DEA) decision making units (DMU) undesirable outputs stochastic DEA model anti-HIV therapy.

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