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Construction of Solutions and L^1-error Estimates of Viscous Methods for Scalar Conservation Laws with Boundary

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Acta Mathematica Sinica,English Series 2007年第3期23卷 393-410页

作者： Hong Xia LIU tao pan Department of Mathematics Jinan University Guangzhou 510632 P. R. China

This paper is concerned with an initial boundary value problem for strictly convex conservation laws whose weak entropy solution is in the piecewise smooth solution class consisting of finitely many discontinuities. By the structure of the weak entropy solution of the corresponding initial value problem and the boundary entropy condition developed by Bardos-Leroux Nedelec, we give a construction method to the weak entropy solution of the initial boundary value problem. Compared with the initial value problem, the weak entropy solution of the initial boundary value problem includes the following new interaction type： an expansion wave collides with the boundary and the boundary reflects a new shock wave which is tangent to the boundary. According to the structure and some global estimates of the weak entropy solution, we derive the global L^1-error estimate for viscous methods to this initial boundary value problem by using the matching travelling wave solutions method. If the inviscid solution includes the interaction that an expansion wave collides with the boundary and the boundary reflects a new shock wave which is tangent to the boundary, or the inviscid solution includes some shock wave which is tangent to the boundary, then the error of the viscosity solution to the inviscid solution is bounded by O（ε^1/2） in L^1-norm; otherwise, as in the initial value problem, the L^1-error bound is O（ε｜ In ε｜）.

关键词： scalar conservation laws initial boundary value problem global weak entropy solution,error estimate of viscous methods

Global Weak Entropy Solution of Nonlinear Ideal Reaction Chromatography System and Applications

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Acta Mathematicae Applicatae Sinica 2023年第1期39卷 109-134页

作者： Jing ZHANG Hong-xia LIU tao pan School of Computer Science and Technology Dongguan University of TechnologyDongguan 523808China Department of Mathematics Jinan UniversityGuangzhou 510632China Department of Optoelectronic Engineering Jinan UniversityGuangzhou 510632China

The ideal reaction chromatography model can be regarded as a semi-coupled system of two hyperbolic partial differential equations, in which, one is a self-closed nonlinear equation for the reactant concentration and another is a linear equation coupling the reactant concentration for the resultant concentration. This paper is concerned with the initial-boundary value problem for the above model. By the characteristic method and the truncation method, we construct the global weak entropy solution of this initial initial-boundary value problem for Riemann type of initial-boundary data. Moreover, as examples, we apply the obtained results to the cases of head-on and wide pulse injections and give the expression of the global weak entropy solution.

关键词： ideal reaction chromatography model reactant and resultant concentration initial-boundary value problem global weak entropy solution head-on injection wide pulse injection

Numerical Study on the Thermal Stress and its Formation Mechanism of a Thermoelectric Device

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Journal of Thermal Science 2018年第3期27卷 249-258页

作者： pan tao GONG Tingrui YANG Wei WU Yongjia Product Engineering Department Wuhan Branch of SAIC-GM ltd Wuhan 430200 China Microsystem and Terahertz Research Center China Academy of Engineering Physics Chengdu 610200 China Institute of Electronic Engineering China Academy of Engineering Physics Mianyang 621999 China Hubei Institute of Aerospace Chemical Technology Xiangyang 441000 China School of Mechanical Engineering Virginia Polytechnic Institute and State University Blacksburg 24060 USA

The strong thermo-mechanical stress is one of the most critical failure mechanisms that affect the durability of thermoelectric devices. In this study, numerical simulations on the formation mechanism of the maximum thermal stress inside the thermoelectric device have been performed by using finite element method. The influences of the material properties and the thermal radiation on the thermal stress have been examined. The results indicate that the maximum thermal stress was located at the contact position between the two materials and occurred due to differential thermal expansions and displacement constraints of the materials. The difference in the calculated thermal stress value between the constant and the variable material properties was between 3% and 4%. At a heat flux of 1 W·cm^(-2) and an emissivity of 0.5, the influence of the radiation heat transfer on the thermal stress was only about 5%; however, when the heat flux was 20 W·cm^(-2) and the emissivity was 0.7, the influence of the radiation heat transfer was more than 30%.

关键词： Solar Thermoelectric Power Generator Thermal Stress Thermal Radiation Numerical Simulation

Ni segregation and thermal stability of reversed austenite in a Fe–Ni alloy processed by QLT heat treatment

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Rare Metals 2015年第11期34卷 776-782页

作者： tao pan Jing Zhu Hang Su Cai-Fu Yang Division of Structural Materials Central Iron and Steel Research Institute School of Materials Science and Engineering Tsinghua University

High-resolution transmission electron microscopy(HRTEM) and X-ray diffraction(XRD) were used to investigate Ni segregation and thermal stability of reversed austenite(RA) in a Fe–Ni alloy processed by quench–lamellarize–temper(QLT) heat treatment. The results show that the 77 K impact energy of the alloy increases with RA content increasing. As an austenite-stabilizing element, Ni is found to segregate in RA, though Ni is not evenly distributed within RA. The amount of segregations increases near the boundary(twice as high as the balanced content)and decreases to some extent in the center of the RA regions. Ni concentration in matrix near the boundary is lower than that in matrix far from the boundary because of Ni atom transportation from a to c near the boundary. RA in this alloy has high heat and mechanical stability but is likely to lose its stability and transform to martensite when a mechanical load is applied at ultralow temperatures(77 K), which induces plasticity.

关键词： Reversed austenite Quench–lamellarize–temper Compo

Quantification of glycated hemoglobin indicator HbA1c through near-infrared spectroscopy

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Journal of Innovative Optical Health Sciences 2014年第4期7卷 12-20页

作者： tao pan Minmiao Li Jiemei Chen Haiyan Xue Key Laboratory of Optoelectronic Information and Sensing Technologies of Guangdong Higher Educational Institutes Jinan University Guangzhou 510632P.R.China

A new strategy for quantitative analysis of a major clinical biochemical indicator called glycatedhemoglobin(Hb·A1c)was *** technique was based on the simultaneous near-infrared(NIR)spectral determination of hemoglobin(Hb)and absolute HbAlc content(Hb·HbA1c)inhuman hemolysate *** selections were accomplished using the improvedmoving window partial least square(MWPLS)method for *** model was establishedusing an approach based on randomness,similarity,and stability to obtain objective,stable,andpractical *** optimal wavebands obtained using MWPLS were 958 to 1036 nm for Hband 1492 to 1858 nm for Hb·HbA1c,which were within the NIR overtone *** validationroot mean square error and validation correlation coeficients of prediction(V-SEP,V-Rp)were 3.4g L^(-1) and 0.967 for Hb,respectively,whereas the corresponding values for *** were 0.63 g L^(-1) and *** corresponding V-SEP and V-Rp were 0.40% and 0.829 for the relativepercentage of *** experimental results confirm the feasibility for the quantification of HbAlc based on simultaneous NIR spectroscopic analyses of Hb and Hb·HbA1c.

关键词： Glycated hemoglobin HbAlc NIR spectroscopy wavelength selection stability

Moving-window bis-correlation coefficients method for visible and near-infrared spectral discriminant analysis with applications

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Journal of Innovative Optical Health Sciences 2018年第2期11卷 65-77页

作者： Lijun Yao Weiqun Xu tao pan Jiemei Chen Guangdong Provincial Key Laboratory of Optical Fiber Sensing and Communications Department of Optoelectronic Engineering Jinan University GuangzhouChina Department of Biological Engineering Jinan University GuangzhouChina

The moving window bis corelation coefficients(MW BiCC)was proposed and employed for the discriminant analysis of transgenic sugarcane leaves and B-thalassemia with visible and near-infrared(Vis NIR)*** well-performed moving window principal component analysis linear discriminant analysis(MWPCA-LDA)was also conducted for comparison.A total of 306 transgenic(positive)and 150 nont ransgenic(negative)leave samples of sugarcane were collected and divided to calibration,prediction,and *** diffuse reflection spectra were corected using Savitzky-Golay(SG)smoothing with first-order derivative(d=1),third-degree polynomial(p=3)and 25 smpothing points(m=25).The selected waveband was 736-1054nm with MW-BiCC,and the positive and negative validation recognition rates(V_REC^(+),VREC^(-))were 100%,98.0%,which achieved the same effect as *** example,the 93 B-thalassemia(positive)and 148 nonthalassemia(negative)of human hemolytic samples were *** transmission spectra were corrected using SG smoothing withd=1,p=3 and m=*** M W-BiCC,many best wavebands were selected(e.g.,1116-1146,17941848 and 22842342nm).The V_REC^(+)and V_REC^(-)were both 100%,which achieved the same effect as ***,the BICC only required ca lculating correlation cofficients between the spectrum of prediction sample and the average spectra of two types of calibration ***,BiCC was very simple in algorithm,and expected to obtain more *** results first confirmed the feasibility of distinguishing B-thalassemia and normal control samples by NIR spectroscopy,and provided a promising simple tool for large population thalassemia screening.

关键词： Visible and near infrared spectroscopic discriminant analysis transgenic sugarcane leaves B-thalassemia moving-window bis-correlation cofficients moving-window principal component analysis linear discriminant analysis.

A brief statistical analysis of stomatology papers published in international journals by researchers from the mainland of China-Based on Thomson Reuters’ Journal Citation Reports for 2009

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International Journal of Oral Science 2011年第1期3卷 1-6页

作者： Yu-hua Zhang Yun-tao pan Xiao Hong Institute of Scientific and Technical Information of China Beijing 100038 China State Key Laboratory of Oral Diseases Sichuan University Chengdu 610041 China

This paper has briefly analyzed the publication status of Chinese stomatology papers in 2009 with statistics from Journal Citation Reports provided by Thomson Scientific. Only those papers with the first author coming from the mainland of China were included for calculations. We have found a significant increase in the number of SCIE-indexed papers, most of which were published by six dental institutions in China. Among all Chinese medical institutions, West China School of Stomatology Sichuan University is the first dental institution to enter the top-20 list with the most publications, and it also ranks the 9th in the number of outstanding articles. West China School of Stomatology Sichuan University and the Forth Military Medical University are the only two dental institutions in China which have published SCIE-indexed papers over a hundred. The former has published the most SCIE-indexed stomatology papers, while the latter has the highest average impact factor. As the laboratories and funds in China have close connections with various dental hospitals, the pratice of translational medicine in dentistry is fast and fluent.

关键词： oral dentistry Journal Citation Reports SCIE-indexed papers

Orderly adaptation to climate change： A roadmap for the post-Paris Agreement Era

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Science China Earth Sciences 2018年第1期61卷 119-122页

作者： WU ShaoHong pan tao LIU YanHua GAO JiangBo HE XiaoJia Key Laboratory of Land Surface Pattern and Simulation Institute of Geographic Sciences and Natural Resources Research Chinese Academy of Sciences Beijing 100101 China College of Resources and Environment University of Chinese Academy of Sciences Beijing 100190 China The Administrative Center for China's Agenda 21 Beijing 100038 China

Mitigation and adaptation are two complementary strategies for addressing climate ***,adaptation has received far less attention than *** response to observed and future climate change,the currently adopted measures for adaptation are ***,constraints,costs and other limitations to adaptation have not been fully recognized(Field et al.,2014).

关键词： adaptation mitigation currently constraints addressing limitations warming costs sector insufficient

Spatial Coupling Relationship and Driving Mechanism of Population and Economy in Rural Areas in Qinling-Daba Mountains,China

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Chinese Geographical Science 2023年第5期33卷 779-795页

作者： XIAO Jie QIAO Jiajun HAN Dong LIU Yang pan tao Key Laboratory of Geospatial Technology for the Middle and Lower Yellow River Regions Henan UniversityKaifeng 475004China College of Geography and Environmental Science Henan UniversityKaifeng 475004China Ministry of Education National Demonstration Center for Environment and PlanningHenan UniversityKaifeng 475004China Henan Natural Resources Research Institute Zhengzhou 450000China

Addressing the issue of the healthy and coordinated development of the population and economic factors in rural areas will not only help consolidate and expand the achievements of poverty alleviation,but will also lay a foundation for comprehensive rural *** this paper,the spatial coupling relationship between the population and economic factors in rural areas in the QinlingDaba Mountains,China,is explored to provide a reference for rural revitalization and regional sustainable development in poverty ***-eight county units in rural areas in the Qinling-Daba Mountains,as well as the population and economic factors in rural areas,are used to study the spatial coupling relationship between population and economy,as well as the driving mechanism,in rural areas in the Qinling-Daba Mountains from 2010 to *** results show that a population contraction phenomenon occurred in the rural areas in the Qinling-Daba Mountains,and the spatial agglomeration trends of the population and economic factors were *** agglomeration was mainly located in the suburban areas of the municipal area,and the agglomeration degree was significantly higher in these areas than in other *** terms of the spatial distribution,the economic development level of the rural areas in the northeastern part of the Qinling-Daba Mountains was generally higher than that in the central and western parts,and the unbalanced trends of the population and economic spatial differentiation in the eastern and western regions were *** spatial coupling relationship between the population and economy changed from coordinated development to economic *** was mainly due to the mutual restriction and joint actions of the industrial structure,capital situation,natural environment,policies,and institutional regulations,among which the industrial structure and capital status had significant effects.

关键词： rural poverty population distribution economic development pattern spatial coupling influencing factors rural revitalization Qinling-Daba Mountains,China