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ON WALL SHEAR STRESS OF ARTERY

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Journal of Hydrodynamics 2003年第3期15卷 1-9页

作者： Liu Zhao-rong, Liu Bao-yu, Qin Kai-rong Biomechanics Laboratory, fudan univer.ity, shanghai 200433, china, Biomechanics Laboratory Fudan University Shanghai 200433 China

In this paper, a method was proposed that the wall shear stress of arterycould be determined by measuring the centerline axial velocity and radial motion of arterial wallsimultaneously. The method is simple in application and can get higher precision when it is used todetermine the shear stress of arterial wall in vivo. As an example, the shear stress distribution inperiodic oscillatory flow of human carotid was calculated and discussed. The computed results showthat the shear stress distribution at any given instant is almost uniform and will be zero at thecenterline and tends to maximum at the vessel wall.

关键词： endothelial cells oscillatory flow shear stress vascular remodeling carotid

Density-functional theory study of the effect of pressure on the elastic properties of CaB_6

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Chinese Physics B 2013年第7期22卷 420-425页

作者：韩晗 Surface Physics Laboratory (National Key Laboratory) Key Laboratory of Computational Physical Sciencesand Department of PhysicsFudan University

Under high pressure, the long believed single-phase material CaB6 was latterly discovered to have a new phase tI56. Based on the density-functional theory, the pressure effects on the structural and elastic properties of CaB6 are obtained. The calculated bulk, shear, and Young’s moduli of the recently synthesized high pressure phase tI56-CaB6 are larger than those of the low pressure phase. Moreover, the high pressure phase of CaB6 has ductile behaviors, and its ductility increases with the increase of pressure. On the contrary, the calculated results indicate that the low pressure phase of CaB6 is brittle. The calculated Debye temperature indicates that the thermal conductivity of CaB6 is not very good. Furthermore, based on the Christoffel equation, the slowness surface of the acoustic waves is obtained.

关键词： density-functional theory elastic properties pressure effects acoustic properties

A maximum principle for optimal control problem of fully coupled forward-backward stochastic systems with partial information

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Science china Mathematics 2009年第7期52卷 1579-1588页

作者： MENG QingXin1,2 1 Department of Mathematical sciences,Huzhou univer.ity,Zhejiang 313000,china 2 Institute of Mathematics,fudan univer.ity,shanghai 200433,china 1. Department of Mathematical sciences Huzhou University Zhejiang 313000 China 2. Institute of Mathematics Fudan University Shanghai 200433 China

The paper is concerned with a stochastic optimal control problem in which the controlled system is described by a fully coupled nonlinear forward-backward stochastic differential equation driven by a Brownian *** is required that all admissible control processes are adapted to a given subfiltration of the filtration generated by the underlying Brownian *** this type of partial information control,one sufficient(a verification theorem) and one necessary conditions of optimality are *** control domain need to be convex and the forward diffusion coefficient of the system can contain the control variable.

关键词： maximum principle stochastic optimal control partial information 93E20 60H10 60H30

NUMERICAL MODELING OF KELVIN-HELMHOLTZ INSTABILity AND RAYLEIGH-TAYLOR INSTABILity AT LARGE DEFORMATION STAGE——(Ⅰ) NUMERICAL METHOD AND NUMERICAL RESULTS OF RAYLEIGHTAYLOR INSTABILity

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Journal of Hydrodynamics 1991年第1期3卷 37-44页

作者： Zhang Hui-sheng, Department of Applied Mechanics, fudan univer.ity, shanghai 200433, P. R. china fudan Univ Shanghai China

This paper improves the discrete vortex method for modeling Kelvin-Helmholtz instability and Rayleigh-Tay- lor instability by proper choice of velocity weighted average coefficients, redistribution of markers and successive adding of computational points with the increase of interfacial deformation and gives the numerical results of Rayleigh-Taylor instability. The numerical results show that the first two techniques greatly enhance the ability of the discrete vortex method for modeling large interracial deformations and the last technique greatly reduces the computational amounts of the numerical modeling at large deformation stage. The numerical modeling of Rayleigh- Taylor instability not only reproduces some phenomena such as the roll up at the end part of the spike observed in experiments but also finds some new phenomena such as the splashes at the roll up parts which needs to be tested by experiment.

关键词： mode NUMERICAL MODELING OF KELVIN-HELMHOLTZ INSTABILity AND RAYLEIGH-TAYLOR INSTABILity AT LARGE DEFORMATION STAGE NUMERICAL METHOD AND NUMERICAL RESULTS OF RAYLEIGHTAYLOR INSTABILity AT

DIRECT CONSTRUCT OF PERIODIC SOLUTIONS TO PERTURBED KLEIN-GORDON EQUATIONS BY NEWTON ITERATION

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Chinese Annals of Mathematics,Series B 2000年第3期21卷 297-322页

作者： SHI YUMING (Department of Mathematics, fudan univer.ity, shanghai 200433, china. E-mail: ymshi@***) Department of Mathematics Fudan University Shanghai 200433 China

By introducing the block estimate technique and directly using the Newton iteration method, the author constructs Cantor families of time periodic solutions to a class of nonlinear wave equations with periodic boundary conditions. The Lyapunov-Schmidt decomposition used by J. Bourgain, W. Craig and C. E. Wayne is avoided. Thus this work simplifies their framework for KAM theory for PDEs.

关键词： Klein-Gordon equation Periodic solution Newton iteration

SEMI-GLOBAL C^1 SOLUTION TO THE MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS

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Chinese Annals of Mathematics,Series B 2001年第3期22卷 325-336页

作者： LI TA-TSIEN (LI DAQIAN), JIN YI Department of Mathematics, fudan univer.ity, shanghai 200433, china. Department of Mathematics Fudan University Shanghai 200433 China (Li Daqian).

By means of an equivalent invariant form of boundary conditions, the authors get the exis- tence and uniqueness of semi-global C1 solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems... 详细信息

关键词： Semi-global C^1 solution Mixed initial-boundary value problem Quasilinear hyperbolic system

Identification and Characterization of a Rat Novel Gene RSEP4 Expressed Specifically in Central Nervous System

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Acta Biochimica et Biophysica Sinica 2004年第7期36卷 501-507页

作者： Xi-Dao WANG1,2, Ling-Wei KONG1, Zhi-Qin XIE1, Yu-Qiu ZHANG3, Zhi-Xin LIN2, Zhi-Qi ZHAO3,Lei YU4, and Nai-He JING1* 1 Laboratory of Molecular Cell Biology, Laboratory of Stem Cell Biology, Institute of Biochemistry and Cell Biology, shanghai institutes for Biological sciences, Chinese Academy of sciences, Graduate School of the Chinese Academy of sciences, shanghai 200031, china School of Life Science and Biotechnology, 2 shanghai Jiaotong univer.ity, shanghai 200030, china Institute of Neurobiology, fudan univer.ity, shanghai 200433, china 3 4 Department of Cell Biology, Neurobiology and Anatomy, College of Medicine, univer.ity of Cincinnati, Cincinnati, Ohio, USA Laboratory of Molecular Cell Biology and Stem Cell Biology Institute of Biochemistry and Cell Biology Shanghai Institutes for Biological Sciences Chinese Academy of Sciences Graduate School of the Chinese Academy of Sciences Shanghai China

The low-abundantly expressed genes composed the majorities of the mRNAs expressed in the central nervous system (CNS), and were thought to be important for the normal brain functions. Through differential screening a low-abundance cDNA sublibrary with mRNA from neuropathic pain of chronic constriction injury (CCI) model, we have identified a novel rat gene, rat spinal-cord expression protein 4 gene (RSEP4). The total length of RSEP4 cDNA is 2006 bp, with a 501 nucleotide open reading frame (ORF) that encodes a 167 amino acid polypeptide. Northern blot revealed that RSEP4 was expressed specifically in the CNS. In situ hybridization showed that the mRNA of RSEP4 was strongly expressed in the CA1, CA2, CA3 and DG regions of hippocampus, the Purkinje cells of cerebellum, and the small sensory neurons of dorsal horn and large motor neurons of ventral horn of spinal cord. Over-expression of RSEP4-EGFP fusion protein in the human embryonic kidney 293T cells showed that RSEP4 protein was mainly localized in the cell cytoplasm. These results suggest that RSEP4 may play some roles in the CNS.

关键词： central nervous system (CNS) rat Northern blot in situ hybridization

A LEVEL SET METHOD FOR SIMULATION OF RISING BUBBLE

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Journal of Hydrodynamics 2004年第4期16卷 379-385页

作者： HUANGJun-tao ZHANGHui-sheng DepartmentofMechanicsandEngineeringsciences FudanUniversityShanghai200433China

A level set method, the TVD scheme of second-order upwind procedure coupledwith flux-limiter, and SIMPLE algorithm were incorporated to simulate the flow and interfacialmotion of immiscible two-fluids with large density ratio and viscosity ratios, large topologydistortion and surface tension. As a numerical example axi-symmetric rising bubbles wereinvestigated. It is found that the method is numerically stable and has good convergence propertyand the results are in good agreement with other works.

关键词： level set method high-resolution scheme SIMPLE algorithm rising bubble

ALMOST GLOBAL EXISTENCE OF DIRICHLETINITIAL-BOUNDARY VALUE PROBLEM FORNONLINEAR ELASTODYNAMIC SYSTEMOUTSIDE A STAR-SHAPED DOMAIN

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Chinese Annals of Mathematics,Series B 2004年第4期25卷 433-454页

作者： XINJIE QINTIEHU InstituteofMathematics FudanUniversityShanghai200433China DepartmentofMathematics FudanUniversityShanghai200433China

This paper deals with the mixed initial-boundary value problem of Dirichlet type for the nonlinear elastodynamic system outside a star-shaped domain. The almost global existence of solution with small initial data to ... 详细信息

关键词： Nonlinear elastodynamic system Exterior problem Almost global existence