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FATOU　PROPERTY　ON　HARMONIC　MAPS　FROM　COMPLETE　MANIFOLDS　WITH　NONNEGATIVE　CURVATURE　AT　INFINITY　INTO　CONVEX　BALLS

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Chinese Annals of Mathematics,Series B 1995年第3期16卷 341-350页

作者： YANG YIHU(Department of Mathematics,fudan university,{2. 200433, china.) fudan UNIV DEPT MATHSHANGHAI 200433PEOPLES R CHINA

The author considers harmonic maps on complete noncompact manifolds, solves the Dirichlet problem in manifolds with nonnegative sectional curvature out of a compact set, and proves the Fatou theorem for harmonic maps ... 详细信息

关键词： Complete manifold Harmonic map Convex ball Fatou property.

HOPF ALGEBRAIC APPROACH TO THE n LINEARLY RECURSIVE SEQUENCES

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Chinese Annals of Mathematics,Series B 1994年第2期15卷 141-146页

作者： LIANG GUI(Institute of Mathematics, fudan university, shanghai 200433,{2.) fudan UNIV INST MATHSHANGHAI 200433PEOPLES R CHINA

It is proved that a linearly recursive sequence of n indices over field F (n≥1) is automatically a product of n linearly recursive sequences of 1-index over F by the theory of Hopf *** the way, the correspondence bet... 详细信息

关键词： Hopf algebra Linearly recursive sequence Recursive relation.

SIMULATION OF FLUID-SOLID INTERACTION ON WATER DITCHING OF AN AIRPLANE BY ALE METHOD

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Journal of Hydrodynamics 2011年第5期23卷 637-642页

作者： HUA Cheng FANG Chao CHENG Jin Department of Mechanics and Engineering Science Fudan University Shanghai 200433 China School of mathematical Sciences Fudan University Shanghai 200433 China

Ditching is considered as one of the important aspects of safety performances of airplanes. It is related primarily with the fluid-solid interaction, whose studies mainly depend on experiments at the present time. Numerical and analytical methods for fluid-solid interaction by using 3-D full scale airplane＇s model will reduce the dependence on the expensive model tests. Numerical studies can be used to estimate the safety of ditching and provide a reference for the crashworthiness design. This article proposes a 3-D dynamical structural model after the real shape of an airplane and an Arbitrary Lagrange-Euler （ALE） fluid-field model, to simulate the fluid-solid interactions caused by low speed ditching. The simulation is based on interaction computational methods, within LS-DYNA nonlinear finite-element code. The results of pressure distributions and accelerating time histories of the airplane＇s subfloor are discussed in the context of the safety of ditching, and the simulation results and the analytical methods are verified.

关键词： ditching fluid structure interaction Arbitrary Lagrange-Euler (ALE) finite element method

Commission Strategy of the Auction House

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Wuhan university Journal of Natural Sciences 2006年第3期11卷 507-510页

作者： WANG Yan~ 1,2.1. College of Economics, fudan university, shanghai 200433,{2. 2. School of Mathematics and Statistics, Wuhan university , Wuhan 430072. Hubei,{2. College of Economics Fudan University 200433 Shanghai China School of Mathematics Statistics Wuhan University 430072 Wuhan Hubei China

In a SIPV model, when the commission proportion is not certain, but related with bargain price, generally, it is a linear function of the bargain price, this paper gives bidders＇ equilibrium bidding strategies in the first-and secondprice auctions. We find that the equilibrium strategies in second-price auction are dominant strategies. For seller or auction house, whether the fixed proportion or the unfixed proportion is good is not only related with constant item and the linear coefficient of the linear function, the size of the fixed commission proportion, but also related with the value of the item auctioned. So, in the practical auctions, the seller and the auction house negotiated with each other to decide the commission rules for their own advantage.

关键词： auction commission proportion Bayesian equilibrium bidding strategy

Mass spectrometry analysis of melanoma related O-glycans in sera

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Science china Chemistry 2010年第4期53卷 807-811页

作者： BAI Chen1,4, WU Gang1 & ZHAO Liang2.3 1Department of Life Science, fudan university, shanghai 200433,{2. 2.epartment of Chemistry, fudan university, shanghai 200433,{2. 3Institutes of Biomedical Sciences, fudan university, shanghai 200433,{2. 4Department of Food Science, shanghai Business School, shanghai 2.02.5,{2. 1. Department of Life Science Fudan University Shanghai 200433 China4. Department of Food Science Shanghai Business School Shanghai 200235 China2. Department of Chemistry Fudan University Shanghai 200433 China3. Institutes of Biomedical Sciences Fudan University Shanghai 200433 China

Glycomics comparison was carried out by screening melanoma serum biomarkers between C57 mice with and without B16 implanted. O-glycans were released from 10 μL sera by β-elimination, purified by Graphitized Carbon Cartridge Solid Phase Extraction (GCC-SPE) and analyzed by MALDI-QIT-TOF-MS. MS raw data were acquired and exported by Launchpad software. MATLAB was then applied for further data analysis. 10 Glycans were considered to have stable changes after B16 implantation and 5 of them were under structural analysis via MS/MS.

关键词： mass spectrometry glycomics melanoma biomarkers

CDS Simulation and Pattern Formation of Phase Separation

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Communications in Nonlinear Science and Numerical Simulation 1998年第4期3卷 233-236页

作者： Zhanaji LIU Men CHENG Jiong RUAN and Shouji CHENG (Department of Mechanics and Engineering Science, fudan university, shanghai 200433,{2.)(Department of Mathematics, fudan university, shanghai 200433, china) Dept. of Mechanics and Eng. Science Fudan University Shanghai 200433 China Department of Mathematics Fudan University Shanghai 200433 China

Several properties of the generation and evolution of phase separating patterns for binary material studied by CDS model are proposed. The main conclusions are (1) for alloys spinodal decomposition, the conceptions of "macro-pattern" and "micropattern" are posed by "black-and- white graph" and "gray-scale graph" *** find that though the four forms of map f that represent the self-evolution of order parameter in a cell(lattice) are similar to each other in "macro-pattern" , there are evident differences in their micro-pattern, e.g., some different fine netted structures in the blackdomain and the white domain are found by the micro-pattern, so that distinct mechanical and physical behaviors shall be obtained. (2. If the two constitutions of block copolymers are not symmetric (i.e. r ≠ 0.5), a pattern called "grain-strip cross pattern"is discovered,in the 0.43 < r < 0.45.

关键词： lattice gas automata CDS phase separation Pattern formation

ON TAYLOR'S CONJECTURE ABOUT THE PACKING MEASURES OF CARTESIAN PRODUCT SETS

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Chinese Annals of Mathematics,Series B 1996年第1期17卷 121-126页

作者： XU YOU REN FUYAO(Institute of Mathematics, fudan university, shanghai 200433,{2..) fudan UNIV INST MATHSHANGHAI 200433PEOPLES R CHINA

It is proved that if E R, F Rn, then P(E x F,12. ≤c. P(E, 1)P(E, 2., where P(, ) denotes the -packing measure, belongs to a class of Hausdorff functions, the positive constat c deponds only on 1,2.and n.

关键词： Packing measure Hausdorff measure Cartesian product set

An optimal adaptive filtering algorithm with a polynomial prediction model

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Science china(Information Sciences) 2011年第1期54卷 153-162页

作者： TAN JiaJia & ZHANG JianQiu Department of Electronic Engineering,fudan university,{2. 200433,china 1. Department of Electronic Engineering Fudan University Shanghai 200433 China

A new approach to the optimal adaptive filtering is proposed in this *** this approach,a polynomial prediction model is used to describe the time-variant/invariant impulse response coeffcients of an identified *** the polynomial prediction model is viewed as the state equations of the identified impulse response coeffcients and the relationships between the inputs and outputs of the system are regarded as the measurements of the states,our adaptive filtering can be achieved in the framework of the Kalman filter. It is understood that Kalman filter is optimal in the sense of the MAP(maximum a posteriori),ML(most likelihood)and MMSE(minimum mean square error)under the linear and Gaussian white noise *** a result,our algorithm is also optimal in the statistical senses as Kalman filter does,provided that the impulse response coeffcients can be modeled by a *** only do the analytical results of the algorithm but also the simulation results show that our algorithm outperforms the traditional known algorithms.

关键词： adaptive filters polynomial prediction model impulse response coeffcients process equation Kalman filter optimal

PARAMETERS OF DARBOUX TRANSFORMATION FOR REDUCED AKNS,KAUP-NEWELL AND PCF SYSTEMS

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Chinese Annals of Mathematics,Series B 1999年第2期20卷 195-204页

作者： ZHOU ZIXIANG(Institute of Mathematics, fudan university, shanghai 200433) fudan Univ Inst Math Shanghai 200433 Peoples R China

FOr the integrable system with u(p, q) reduction, there is a well-known sufficient conditionto choose the parameters: the spectral parameters only take two mutually conjugate valuesand the solutions of the Lax pair should satisfy certain orthogonal relations. In this paper, theauthor proves that, for the AKNS system, the Kaup-Newed system and the principal chiralfield (PCF), this condition is also necessary for generic potentials with the u(p, q) *** some other reductions, sufficiency and necessity of more constraints are proved.

关键词： Darboux transformation Spectral parameters u(p q) reduction