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A high power MOPA free-electron laser with narrowline-width

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Nuclear Science and Techniques 1999年第3期10卷 165-167页

作者： SHU Xiaojian (institute of Modern Physics, fudan university, shanghai 200433 institute of Applied Physics and Computational mathematics, Beijing 100088) 复旦大学物理系上海

A new kind of MOPA configuration to obtain a high power free-electron laser with very narrow line-width that can satisfy the requirements of some applications such as the laser isotope separation has been proposed, wh... 详细信息

关键词：自由电子激光器线宽窄功率大

A HYPERBOLIC SYSTEM OF CONSERVATION LAWS FOR FLUID FLOWS THROUGH COMPLIANT AXISYMMETRIC VESSELS

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Acta Mathematica Scientia 2010年第2期30卷 391-427页

作者： Gui-Qiang G.Chen school of mathematical sciences,fudan university,shanghai 200433,china mathematical institute,university of Oxford,24-29 St Giles,Oxford,OX1 3LB,UK Department of mathematics,Northwestern university,Evanston,IL 60208-2730,USA Weihua Ruan Department of mathematics,Computer Science and Statistics,Purdue university Calumet,Hammond,IN 46323-2094,USA [a] school of mathematical sciences Fudan University Shanghai 200433 China [b] Mathematical Institute University of Oxford 24-29 St Giles Oxford OX1 3LB UK [c] Department of Mathematics Northwestern University Evanston IL 60208-2730 USA [d] Department of Mathematics Computer Science Statistics Purdue University Calumet Hammond IN 46323-2094 USA

We are concerned with the derivation and analysis of one-dimensional hyperbolic systems of conservation laws modelling fluid flows such as the blood flow through compliant axisyminetric vessels. Early models derived are nonconservative and/or nonho- mogeneous with measure source terms, which are endowed with infinitely many Riemann solutions for some Riemann data. In this paper, we derive a one-dimensional hyperbolic system that is conservative and homogeneous. Moreover, there exists a unique global Riemann solution for the Riemann problem for two vessels with arbitrarily large Riemann data, under a natural stability entropy criterion. The Riemann solutions may consist of four waves for some cases. The system can also be written as a 3 × 3 system for which strict hyperbolicity fails and the standing waves can be regarded as the contact discontinuities corresponding to the second family with zero eigenvalue.

关键词： conservation laws hyperbolic system fluid flow blood flow vessel hyper-bolicity Riemann problem Riemann solution wave curve shock wave rarefaction wave standing wave stability

Harmonic Maps from Kahler Manifolds

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Acta Mathematica Sinica,English Series 1999年第2期15卷 277-292页

作者： Yuanlong Xin, institute of mathematics and LMNS, fudan university, shanghai 200433, P. R. chinaE-mail: ylxin@fudan, edu. cn institute of mathematics and LMNS Fudan University Shanghai P. R. China

Some Liouville type theorems for harmonic maps from Kahler manifolds are obtained. The main result is to prove that a harmonic map from a bounded symmetric domain (except IV（2）) to any Riemannian manifold with finit... 详细信息

关键词： Harmonic map Kahler manifold Bounded symmetric domain

Determination of environmental pollutants bythermal lens method

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Journal of Environmental sciences 1995年第2期7卷 163-166页

作者： Zhang Yue Deng Guohong Li Changlin(Environmental Science institute, fudan university , shanghai 200433 , china) fudan Univ Envmlt Sci Inst Shanghai China China

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ＤｅｔｅｒｍｉｎａｔｉｏｎｏｆｅｎｖｉｒｏｎｍｅｎｔａｌｐｏｌｌｕｔａｎｔｓｂｙｔｈｅｒｍａｌｌｅｎｓｍｅｔｈｏｄＺｈａｎｇＹｕｅ；ＤｅｎｇＧｕｏｈｏｎｇ；ＬｉＣｈａｎｇｌｉｎ（ＥｎｖｉｒｏｎｍｅｎｔａｌＳｃｉｅｎｃｅｉｎｓｔｉｔｕｔｅ，ＦｕｄａｎＵ...

关键词： thermal lens : carbon disulfide anthracene benzophenone.

Dynamic Programming for Multidimensional Stochastic Control Problems

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Acta Mathematica Sinica,English Series 1999年第4期15卷 485-506页

作者： Jin Ma Department of mathematics,Purdue university,West Lafayette,IN 47907-1395,U S A E-mail:majin@math.purdue,eduJiongmin Yong Laboratory of mathematics for Nonlinear Science,Department of mathematics,and institute of mathematical Finance,fudan university,shanghai 200433,P.R.china E-mail:jyong@fudan,*** Department of mathematics Purdue University West Lafayette USA Laboratory of mathematics for Nonlinear Science Department of Mathematics and Institute of Mathematical Finance Fudan University Shanghai P. R. China

In this paper we study a general multidimensional diffusion-type stochastic control problem. Our model contains the usual regular control problem,singular control problem and impulse control problem as special *** a unified treatment of dynamic programming,we show that the value function of the problem is a viscosity solution of certain Hamilton-Jacobi-Bellman (HJB) quasi- variational *** uniqueness of such a quasi-variational inequality is proved.

关键词： Stochastic control Dynamic programming Viscosity solutions Singular control Impulse control

Decay Rate of Solutions to Hyperbolic System of First Order

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Acta Mathematica Sinica,English Series 1999年第4期15卷 471-484页

作者： Shuxing Chen Yi Zhou institute of mathematics,fudan university,shanghai 200433,P.R.china E-mail:sxchen@*** Fax:021-65646073 institute of mathematics Fudan University Shanghai P. R. China

In this paper we generalize the global Sobolev inequality introduced by Klainerman in studying wave equation to the hyperbolic system *** obtain several decay estimates of solutions of a hyperbolic system of first order by different norms of initial *** particular,the result mentioned in Theorem 1.5 offers an optimal decay rate of solutions,if the initial data belongs to the assigned weighted Sobolev *** the proof of the theorem we reduce the estimate of solutions of a hyperbolic system to the corresponding case for a scalar pseudodifferential equation of the first order,and then establish the required estimate by using microlocal analysis.

关键词： Hyperbolic system Decay rate Asymptotic behaviour Microlocal analysis

A measure of semantic similarity between gene ontology terms based on semantic pathway covering

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Progress in Natural Science:Materials International 2006年第07期16卷 721-726页

作者： LI Rong, CAO Shunliang, LI Yuanyuan, TAN Hao, ZHU Yangyong, ZHONG Yang and LI Yixue ( Department of Computing and Information Technology, fudan university, shanghai 200433, china shanghai Center for Bioin-formation Technology, shanghai 200235, china school of Life sciences, fudan university, shanghai 200433, china Bioinfor-rnation Center of shanghai institute for Biological sciences, Chinese Academy of sciences, shanghai 200031, china) [a]Department of Computing an Information Technology Fudan University Shanghai China [b]shanghai Center for Bioinformation Technology Shanghai China [c]school of Life sciences Fundan University Shanghai China [d]Bioinformation Center of shanghai institute for Biological sciences Chinese Academy of Sciences Shanghai China

Semantic similarity between Gene Ontology (GO) terms is critical in resolving semantic heterogeneousness when integrating heterogeneous biological databases. Traditionally, distance based and information content based measures are two major methods. In this paper, a new method based on semantic pathway covering is proposed and an algorithm, COMBINE algorithm, is presented, which considers information contents of two given nodes and those of all nodes included in the two nodes' pathways. Experiments show that COMBINE algorithm obtains the highest correlation index compared with those distance based and information content based algorithms.

关键词： Gene Ontology semantic similarity measure information content.

RELAXATION AND EXISTENCE IN NONISOTROPICAL PLASTICITY PROBLEMS

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Chinese Annals of mathematics,Series B 1991年第3期12卷 309-317页

作者：汤奇 institute of mathematics Fudan University Shanghai China.

Giving a nonisotropic plasticity problem on a Sobolev Space, the author tries to relax it to a new problem whioh is posed on a subset of BD (Ω). It is proved that this relaxation does not change the equilibrium energ... 详细信息

关键词： relaxation posed subset restricted plasticity behave Radon Legendre convex verify

The p-Harmonic Heat Flow with Potential into Homogeneous Spaces

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Acta Mathematica Sinica,English Series 2002年第1期18卷 21-26页

作者： LIU Xian Gao LI Sheng Hong institute of mathematics. fudan university. shanghai, 200433 P. R. china institute of mathematics. Zhejiang university. Hangzhou. 310027. P. R. china institute of mathematics Fudan University Shanghai P. R. China institute of mathematics Zhejiang University Hangzhou P. R. China

Abstract l11 tl1is papel' xte I7rove tl1e existellce of gIol>al wcak so1utiolls of the I)--11i1r11loliic flow with potelltial bett'eel1 Rit)mal1nian lnallifOlds AI an(l N fbr arbitrary iuitial data 1la\-i11g fl11ite P... 详细信息

关键词： p-Harmonic heat flow Homogeneous space Existence