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A pulse radiolysis study on electron affinity of piperonal

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Science China Chemistry 2005年第5期48卷 476-480页

作者： MA Jianhua1, LIN Weizhen2. WANG Wenfeng2.& YAO Side2.1. College of Biology Engineering, Jimei University, Xiamen 36102., China 2. Shanghai institute of applied{2., Chinese Academy of Sciences, Shanghai 2.1800, China College of Biology Engineering Jimei University Xiamen China Shanghai institute of applied{2. Chinese Academy of Sciences Shanghai China

The piperonal electron affinity was studied using pulse radiolysis technique. The electron transfer reaction process between piperonal and anthraquinone-2.sulfate was observed in the pH 7 phosphoric acid salt buffer. The transient absorption spectra of electron transfer re-action between piperonal and anthraquinone-2.sulfate were obtained, and the initial proof of the electron transfer between electron donor and acceptor was provided directly. The one-electron reduction potential of piperonal was determined to be ?0.457 V.

关键词： piperonal, pulse radiolysis, one-electron reduction potential.

ORDER PROPERTIES AND CONSTRUCTION OF SYMPLECTIC RUNGE-KUTTA METHODS

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Journal of computational mathematics 2000年第6期18卷 645-656页

作者： Shou-fu Li (institute for computational and{2. mathematics, Xiangtan University, Xiangtan 411105, China) 湘潭大学湖南湘潭 411105

The main results of this paper are as follows: (1) Suppose an s stage Runge-Kutta method is consistent, irreducible, non-confluent and symplectic. Then this method is of order at least 2. + l(1 less than or equal to p less than or equal to s - 1) provided that the simplifying conditions C(p) (or D(p) with non-zero weights) and B(2. + l) hold, where 1 0, 1, 2. (2. Suppose an s stage Runge-Kutta method is consistent, irreducible and non-confluent, and satisfies the simplifying conditions C(p) and D(p) with 0 s. Then this method is symplectic if and only if either p = s or the nonlinear stability matrix M of the method has an (s - p) x (s - p) chief submatrix (M) over cap = 0. (3) Using the results (1) and (2. as bases, we present a general approach for the construction of symplectic Runge-Kutta methods, and a software has been designed, by means of which, the coefficients of s stage symplectic Runge-Kutta methods satisfying C(p),D(p) and B(2. + l) can be easily computed, where 1 I P less than or equal to s, 0 less than or equal to l less than or equal to 2. s less than or equal to 2. + l less than or equal to 2..

关键词： numerical analysis symplectic Runge-Kutta methods simplifying conditions order results

Dynamic localization of two electrons in AC-driven triple quantum dots and quantum dot shuttles

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Chinese physics B 2017年第12期26卷 504-510页

作者：屈晋先段素青杨宁 beijing computational Science Research Center Beijing 100193 China institute of applied{2. and computational mathematics Beijing 100088 China

We analyze the dynamic localization of two interacting electrons induced by alternating current electric fields in triple quantum dots and triple quantum dot shuttles. The calculation of the long-time averaged occupation probability shows that both the intra-and inter-dot Coulomb interaction can increase the localization of electrons even when the AC field is not very large. The mechanical oscillation of the quantum dot shuttles may keep the localization of electrons at a high level within a range if its frequency is quite a bit smaller than the AC field. However, the localization may be depressed if the frequency of the mechanical oscillation is the integer times of the frequency of the AC field. We also derive the analytical condition of two-electron localization both for triple quantum dots and quantum dot shuttles within the Floquet formalism.

关键词： dynamic localization quantum dot shuttles

Regularity criterion to some liquid crystal models and the Landau-Lifshitz equations in R^3

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Science China mathematics 2008年第10期51卷 1787-1797页

作者： FAN JiShan1 & GUO BoLing2.1 College of Information Science and Technology, Nanjing Forestry University, Nanjing 2.0037, China 2.institute of applied{2. and computational mathematics, P. O. Box 8009, beijing 100088, China College of Information Science and Technology Nanjing Forestry University Nanjing China institute of applied{2. and computational mathematics Beijing China

We consider the regularity problem under the critical condition to some liquid crystal models and the Landau-Lifshitz equations. The Serrin type reularity criteria are obtained in the terms of the Besov spaces.

关键词： liquid crystal Landau-Lifshitz equations critical condition Besov space

A three-dimensional variational ocean data assimilation system:Scheme and preliminary results

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Science China Earth Sciences 2006年第11期49卷 1212-1222页

作者： ZHU Jiang1,2. ZHOU Guangqing1, YAN Changxiang1, FU Weiwei1 & YOU Xiaobao1,3 1. International Center for Climate and Environment Sciences, institute of Atmospheric physics, Chinese Academy of Sciences,{2. 10002., China 2. Jiangsu Key Laboratory of Meteorological Disaster, Nanjing University of Information Science and Technology, Nanjing 2.0044, China 3.{2. institute of applied Meteorology,{2. 10002., China International Center for Climate and Environment Sciences Institute of Atmospheric Physics Chinese Academy of Sciences Beijing China Jiangsu Key Laboratory of Meteorological Disaster Nanjing University of Information Science and Technology Nanjing China beijing institute of{2. Meteorology Beijing China

A new 3DVAR-based Ocean Variational Analysis System (OVALS) is developed. OVALS is capable of assimilating in situ sea water temperature and salinity observations and satellite altimetry data. As a component of OVALS, a new variational scheme is proposed to assimilate the sea surface height data. This scheme considers both the vertical correlation of background errors and the nonlinear temperature-salinity relationship which is derived from the generalization of the linear balance constraints to the nonlinear in the 3DVAR. By this scheme, the model temperature and salinity fields are directly adjusted from the altimetry data. Additionally, OVALS can assimilate the temperature and salinity profiles from the ARGO floats which have been implemented in recent years and some temperature and salinity data such as from expendable bathythermograph, moored ocean buoys, etc. A 2.-year assimilation experiment is carried out by using OVALS and the Tropical Pacific circulation model. The results show that the assimilation system may effectively improve the estimations of temperature and salinity by assimilating all kinds of observations. Moreover, the root mean square errors of temperature and salinity in the upper depth less than 42. m reach 0.63℃ and 0.34 psu.

关键词： data assimilation, 3DVAR, sea surface height, ARGO floats.

Acoustic Impedance Inversion Via Wavelet Transform Constraints

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Communications in Nonlinear Science and Numerical Simulation 1998年第1期3卷 3-5页

作者： Huiyan ZHANG and Bainian LU (Graduate School, Research institute of Petrolem Expl. & Dev. beijing,100083,China) +(institute of computational and applied mathematics, Xiangtan University, 411105, China) *(institute of applied physics Graduate School Research Institute of Petrolem Expl. & Dev. Beijing 100083 China institute of computational and{2. mathematics Xiangtan University Xiangtan 411105 China institute of applied{2. and computational mathematics Beijing 100088 China Graduate School of China Academy of Engineering physics Beijing 100088 China

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关键词： acoustic impedance inversion wavelet transform priori scale information

H~m convergence rates of solutions of GBBM equations in multi-dimensional spaces

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Progress in Natural Science:Materials International 2009年第9期19卷 1053-1057页

作者： Shaomei Fang a,*, Boling Guo b a Department of mathematics, South China Agricultural University, Guangzhou 510642. China b institute of{2. physics and computational mathematics, beijing 100088, China Department of mathematics South China Agricultural University Guangzhou 510642 China institute of applied{2. and computational mathematics Beijing 100088 China

In this paper, we study the decay rates of the generalized Benjamin-Bona-Mahony equations in n-dimensional space. By using Fourier analysis for long wave and by applying the energy method for short wave, we obtain the Hm convergence rates of the solutions when the initial data are in the bounded subset of the phase space HmeRnTen P 3T. The optimal decay rates are obtained in our results and are found to be the same as the Heat equation.

关键词： Generalized Benjamin–Bona–Mahony equations Fourier analysis Energy method Optimal convergence rates

New Exact Solutions to (2.1)-Dimensional Variable Coefficients Broer-Kaup Equations

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Communications in Theoretical physics 2006年第9期46卷 393-396页

作者： ZHU Jia-Min~(1,2.+) MA Zheng-Yi~(1,2. ~1 Department of physics, Zhejiang Lishui University, Lishui 32.000, China ~2.Shanghai institute of{2. mathematics and Mechanics, Shanghai 2.0072. China Department of physics Zhejiang Lishui University Lishui 323000 China Shanghai institute of applied{2. and Mechanics Shanghai 200072 China

In this paper, using the variable coefficient generalized projected Ricatti equation expansion method, we present explicit solutions of the (2.1)-dimensional variable coefficients Broer-Kaup (VCBK) equations. These solutions include Weierstrass function solution, solitary wave solutions, soliton-like solutions and trigonometric function solutions. Among these solutions, some are found for the first time. Because of the three or four arbitrary functions, rich localized excitations can be found.

关键词： variable coefficient generalized projected Ricatti equation method (2.1)-dimensional variable coefficients Broer Kaup equations Weierstrass function solution solitary wave solution trigonometric function solution

Exponential Attractors for the Generalized Ginzburg-Landau Equation

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Acta Mathematica Sinica,English Series 2000年第3期16卷 515-526页

作者： Boling Guo institute of applied{2. and computational mathematics P.O.Box 8009,beijing,100088,P.R.ChinaBixiang Wang Department of mathematics,Brigham Young University,Provo,UT84602.USA institute of applied{2. and computational mathematics Bejing 100088 P. R. China Department of mathematics Brigham Young University Provo UT 84602 USA

In this paper,we establish the global fast dynamics for the derivative Ginzburg-Landau equation in two spatial *** show the squeezing property and the existence of fimte dimen- sional exponential attractors for this e... 详细信息

关键词： Global attractor Exponential attractor Semigroup Ginzburg-Landau equation