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Numerical Computation of High Dimensional Solitons Via Darboux Transformation

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Communications in Nonlinear Science and Numerical Simulation 1997年第4期2卷 248-252页

作者： Zixiang ZHOU (institute of Mathematics,fudan university,shanghai 2 0 0 433,china) E- mail:zxzhou@*** institute of Mathematics Fudan University Shanghai 200433 China

Darboux transformation gives explicit soliton solutionsof nonlinear partial differential equations. Using numerical computation in each step of constructing Darboux transformation,one can get the graphs of the solitons ***(n 3) , this method greatly increases the speed and deduces the memory usage of computation comparing to the software for algebraic computation. A technical problem concerning floating overflow is discussed.

关键词： Darboux transformation numerical computation

Local Existence of Smooth Solutions to the FENE Dumbbell Model

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Chinese Annals of Mathematics,Series B 2012年第4期33卷 501-520页

作者： Ge YANG11School of Mathematical Sciences, fudan university, shanghai 2..433, china. School of Mathematical Sciences Fudan University Shanghai China

The author proves the local existence of smooth solutions to the finite extensible nonlinear elasticity (FENE) dumbbell model of polymeric flows in some weighted spaces if the non-dimensional parameter b > 2.

关键词： Fokker-Planck equation FENE model Degenerate parabolic equations Regularity

Possible Role of Histone H1 in the Regulation of Furin-dependent Proprotein Processing

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Acta Biochimica et Biophysica Sinica 2007年第3期39卷 173-180页

作者： Jinbo HAN~1 Jianxin GU~2 Chengwu CHI~(1,3*) 1 institute of Biochemistry and Cell Biology,Chinese Academy of Sciences,Graduate School of the Chinese Academy of Sciences,shanghai 200031,china 2 Gene Research Center,Medical Center of fudan university,shanghai 200032,china 3 institute of Protein Research,Tongji university,shanghai 200092,china institute of Biochemistry and Cell Biology Chinese Academy of Sciences Graduate School of the Chinese Academy of Sciences Shanghai China.

Histone H1 and its C-terminal lysine rich fragments were recently found to be potent inhibitorsof furin,a mammalian proprotein ***,its role in the regulation of furin-dependent proproteinprocessing remains *** we report that histone H1 efficiently blocks furin-dependent pro-yonWillebrand factor（pro-vWF）processing in a dose-dependent *** and immunof-luorescence studies confirmed that histone H1 could interact with furin,and the interaction mainly took placeon the cell *** noted that histone H1 was released from cells undergoing necrosis and apoptosisinduced by *** findings suggested that histone H1 might be involved in extracellular and/or intracellu-lar furin regulation.

关键词： furin histone H1 pro-vWF proprotein processing

Ozone decomposition under the irradiation of 253.7 nm in the presence of methyl bromide

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Journal of Environmental Sciences 2000年第3期12卷 266-269页

作者： LI Chao\|min, HOU Jian, YU Yong, HOU Hui\|qi (institute of Environmental Science, fudan university, shanghai 2..433, china) institute of Environmental Science Fudan University Shanghai 200433 China

In this paper the mechanism and kinetic of ozone decomposition under the irradiation of 253.7 nm UV\|light were studied. The quantum yield of the ozone depletion in the presence of methyl bromide is further determine... 详细信息

关键词： methyl bromide ozone UV

Approximate solutions to infinite dimensional LQ problems over infinite time horizon

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Science china Mathematics 2006年第7期49卷 865-876页

作者： PAN Liping, ZHANG Xu & CHEN Qihong School of Mathematical Sciences, fudan university, shanghai 2..433, china School of Mathematics, Sichuan university, Chengdu 610064, china Department of Applied Mathematics, shanghai university of Finance & Economics, shanghai 2..433, china School of Mathematical Sciences Fudan University Shanghai China School of Mathematics Sichuan University Chengdu China Department of Applied Mathematics Shanghai University of Finance & Economics Shanghai China

This paper is addressed to develop an approximate method to solve a class of infinite dimensional LQ optimal regulator problems over infinite time horizon. Our algorithm is based on a construction of approximate solutions which solve some finite dimensional LQ optimal regulator problems over finite time horizon, and it is shown that these approximate solutions converge strongly to the desired solution in the double limit sense.

关键词： approximate solution LQ problem infinite dimensional infinite time hori-

Dynamics of Primary Events in the Photocycle of Excited Bacteriorhodopsin

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Acta Biochimica et Biophysica Sinica 2004年第11期36卷 724-728页

作者： Jun-Jun LU, Ming MING, Yi YANG, Jia WU, Bo LI, Jian-Dong DING, Qing-Guo LI, and Shi-Xiong QIANDepartment of Physics, fudan university, shanghai 2..433, china Department of Macromolecular Science, Key Laboratory of Molecular Engineering of Polymers, fudan university, shanghai 2..433, china Department of Physiology and Biophysics, School of Life Sciences, fudan university, shanghai 2..433, china Department of Physics Fudan UniversityShanghai 200433 China Department of Macromolecular Science Key Laboratory of Molecular Engineering of Polymers Fudan UniversityShanghai 200433 China Department of Physiology and Biophysics School of Life Sciences Fudan UniversityShanghai 200433 China

Transient dynamic behavior of the excited bacteriorhodopsin (BR), which was isolated from the strain H. salinarum, was studied at excitation wavelength from 585 to 639 nm. With the one-color femtosecond (fs) pump-probe technique, we revealed the primary events in BR's photocycle that took place in an ultrafast time scale. From the analysis of the decay components of the dynamical traces, it was evident that the isomerization of the retinal

关键词： bacteriorhodopsin transient dynamics primary events femtosecond laser pump-probe technique

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 university,Zhejiang 313000,china 2 institute of Mathematics,fudan university,shanghai 2..433,china Department of Mathematical Sciences Huzhou University Zhejiang China institute of Mathematics Fudan University Shanghai 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

CONSTRUCTION OF UNITONS VIA PURELY ALGEBRAIC ALGORITHM

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Chinese Annals of Mathematics,Series B 1999年第1期20卷 1-6页

作者： GU CHAOHAO(C.H.GU) HU HESHENG(H.S.HU)(institute of Mathematics,fudan university,shanghai 2..433,china) institute of Mathematics Fudan University Shanghai 200433 China

A purely algebraic algorithm for constructing unitons is presented. It is shown that all unitons can be constructed by using this algorithm.

关键词： Uniton of U(N) Darboux transformation Renormalization

Weakly nonlinear stability of ultra-thin slipping films

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Progress in Natural Science:Materials International 2005年第9期15卷 827-831页

作者： HU Guohui(shanghai institute of Applied Mathematics and Mechanics, shanghai university, shanghai 200072, china) shanghai institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

A weakly nonlinear theory is presented to study the effects of slippage on the stability of the ultra-thin polymer films. The nonlinear mathematical model is constructed for perturbations of small finite amplitude based on hydrodynamic equations with the long wave approximation. Results reveal that the nonlinearity always accelerates the rupture of the films. The influences of the slip length, film thickness, and initial amplitude of perturbations on the rupture of the films are investigated.

关键词： ultra-thin film weakly nonlinear theory hydrodynamic stability rupture of thin film.