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Anomalous Fractional Diffusion Equation forTransport Phenomena

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Communications in Nonlinear Science and Numerical Simulation 1999年第2期4卷 99-104页

作者： Qiuhua ZENG Houqiang LI De LIU(Department of phys.cs, sichuan university, chengdu 610064. china) Department of phys.cs Sichuan University ChengDu 610064 China

We derive the standard diffusion equation from the continuity equationand by discussing the defectiveness of earlier proposed equations, we get the generalizedfractional diffusion equation for anomalous diffusion.

关键词： fractal lattice probability density fractal anomalous diffusion

STRESS-STRAIN HYSTERESIS OF POLYCRYSTALLINE SMAs─Ⅰ:A MODEL

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Acta Metallurgica Sinica(English Letters) 1999年第3期12卷 205-210页

作者： Y. Huo Y. Chen X. Zu and M. Tu( Department of Metal Materials, sichuan university, chengdu 610065, china)( Department of Metal Materials, sichuan university, chengdu 610065, china)( Department of Metal Materials, sichuan university, chengdu 610065, china

In this paper, a theoretical model was presented to simulate the stress-strain hysteresis and the inner hysteretic behaviors, which were observed for polycrystalline Ni-Ti and Cu-based shape memory alloys (SMAs) at various temperatures. It was assumed that the stress-strum hysteresis of the grains of a polycrystalline sample of SMAs was relatively simple and easy to be calculated. The texture of the sample was characterized by a distribution function, which could be obtained from the experiments. Thercfore,the model provided a means to simulate and, for the first time, to predict the stressstrain hysteresis at different loading temperatures for polycrystalline SMAs.

关键词： shape memory alloys (SMAs) hysteresis mathematical modeling of phase transition

Research of the Effect of the Shear Stress on Endothelial Cells

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生物医学工程学杂志 2005年第S1期22卷 65-66页

作者： Xu HOU Chang-Xiu WAN Hua HUANG(Dept. of Biomedical Engineering,sichuan university, chengdu 610065,china)

Nonlinear Analysis on Vertical Distribution of Suspended Load

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Communications in Nonlinear Science and Numerical Simulation 1998年第2期3卷 19-23页

作者： Fuquan WANG, Houqiang LI and Jing DING (sichuan Union university,chengdu,610064.china) sichuan Union university Chengdu 610064 China

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关键词： turbulence fractal sediment vertical distribution

Control of the Rendition Wavelength Shifts of Color Lippmann Holograms Recordedin Single-layer panchromatic Silver-halide Emulsion

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Chinese Journal of Lasers 2000年第2期9卷 155-160页

作者： ZHU Jianhua, GUO Lurong, LI Zuoyou, LIU Zhenqing (Information Optics Institute, sichuan university, chengdu 610064. china Institute of Southwest Find phys.cs, chengdu 610003, china ) 四川大学四川成都中国工程物理研究院西南流体物理所四川成都

Russian PFG-03C panchromatic ultra-high resolution silver-halide emulsion is regarded as the most successful material for the fabrication of color reflection holograms. But the lack of established and reliable processing sequences prevents its practical applications in business and everyday life. Though much attention is drawn upon the processing of PFC-03C color reflection holograms, the color desaturation is still a problem. The article describes the new processing of color holograms recorded in PFC- 03C plates which is demonstrated experimentally to have the capacity of controlling the rendition wavelength shifts and improving the color desaturation effectively. The rendition spectra of Red-Green-Blue (R. G. B. ) single-line reflection holographic gratify, and the color reflection hologram as well, are given in this paper.

关键词： color holography reflection holograms rendition wavelength color desaturation

NUMERICAL SIMULATION OF FLOW FOLD OF A RIVER WITH COMPLICATED BOUNDARIES

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Journal of Hydrodynamics 1996年第3期8卷 75-80页

作者： Xu Wei-lin Liao Hua-sheng (State Key Hydraulics Lab. of High Speed Flows, sichuan Union university, chengdu 610065, P. R. china) sichuan Union Univ Chengdu China

The flow field of a river with complicated boundaries is simulated by dividing the calculation domain into several subdomains and using the depth-averaged k-ε turbulence model. The complicated topographic conditions in this paper include bar, confluence, narrow, bay and bend, etc. The lands emerging from the water surface are treated as blocked-off regions. The calculation is achieved at both the low and the high water levels. The velocity profiles along cross-sections are measured at the high water level in physical model. The calculated and measured velocity profiles are in agreement.

关键词： numerical simulation natural river complicated boundary

Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria

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Science china Mathematics 2012年第4期55卷 851-868页

作者： LI Jun 1,& HUANG NanJing 2 1 college of Mathematics and Information,china West Normal university,Nanchong 637009,china 2 Department of Mathematics,{4. university,chengdu 610064.china 1. college of Mathematics and Information China West Normal University Nanchong 637009 China2. Department of Mathematics Sichuan University Chengdu 610064 China

In this paper,the image space analysis (for short,ISA) is employed to investigate variational in- equalities (for short,VI) with cone *** separation for VI with cone constraints is characterized by using the normal cone to a regularization of the image,and saddle points of the generalized Lagrangian func- ***-type necessary and sufficient optimality conditions for VI with cone constraints are presented by using a separation *** functions and weak sharpness for VI with cone constraints are also investi- ***,the obtained results are applied to standard and time-dependent traffic equilibria introduced by Daniele,Maugeri and Oettli.

关键词： variational inequality image space analysis linear separation necessary and sufficient optimalitycondition traffic equilibrium

Ni supported on activated carbon as catalyst for flue gas desulfurization

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Science china Chemistry 2010年第4期53卷 846-850页

作者： CHU YingHao1,2, GUO JiaXiu1,2, LIANG Juan1,2, ZHANG QiangBo1 & YIN HuaQiang1,2 1Department of Environmental Science and Engineering, sichuan university, chengdu 610065, china 2National Engineering Technology Research Center for Flue Gas Desulfurization, sichuan university, chengdu 610065, china 1. Department of Environmental Science and Engineering Sichuan University Chengdu 610065 China2. National Engineering Technology Research Center for Flue Gas Desulfurization Sichuan University Chengdu 610065 China

A series of Ni supported on activated carbon are prepared by excessive impregnation and the desulfurization activity is investigated. It has been shown that the activated carbon-supported Ni is an efficient solid catalyst for flue gas desulfurization. The activated carbon treated by HNO3 exhibits high desulfurization activity, and different amounts of loaded-Ni on activated carbon significantly influence the desulfurization activity. The catalysts are studied by X-ray diffraction (XRD) and X-ray photoelectron spectroscopy (XPS). The results of XRD and XPS indicate that the activated carbon treated by HNO3 can increase oxygen-containing functional groups. Ni on activated carbon after calcination at 800 °C shows major Ni phase and minor NiO phase, and with increasing Ni content on activated carbon, Ni phase increases and affects the desulfurization activity of the catalyst, which proves that Ni is the main active phase.

关键词： activated carbon Ni desulfurization XRD XPS

The fundamental theory of abstract majorization inequalities

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Science china Mathematics 2009年第10期52卷 2287-2308页

作者： YANG DingHua college of Mathematics and Software Sciences, sichuan Normal university, chengdu 610066,{4.Abstract college of Mathematics and Software Sciences Sichuan Normal University Chengdu 610066 China

Using the axiomatic method, abstract concepts such as abstract mean, abstract convex function and abstract majorization are proposed. They are the generalizations of concepts of mean, convex function and majorization, respectively. Through the logical deduction, the fundamental theorems about abstract majorization inequalities are established as follows: for arbitrary abstract mean Σ and $ \Sigma ' $ and abstract ∑ ? $ \Sigma ' $ strict convex function f(x) on the interval I, if x i , y i ∈ I (i = 1, 2,..., n) satisfy that $ (x_1 ,x_2 , \ldots ,x_n ) \prec _n^\Sigma (y_1 ,y_2 , \ldots ,y_n ) $ then $ \Sigma ' $ {f(x 1), f(x 2),..., f(x n )} ? $ \Sigma ' $ {f(y 1), f(y 2),..., f(y n )}. This class of inequalities extends and generalizes the fundamental theorem of majorization inequalities. Moreover, concepts such as abstract vector mean are proposed, the fundamental theorems about abstract majorization inequalities are generalized to n-dimensional vector space. The fundamental theorem of majorization inequalities about the abstract vector mean are established as follows: for arbitrary symmetrical convex set $ \mathcal{S} \subset \mathbb{R}^n $ , and n-variable abstract symmetrical $ \overline \Sigma $ ? $ \Sigma ' $ strict convex function $ \phi (\bar x) $ on $ \mathcal{S} $ , if $ \bar x,\bar y \in \mathcal{S} $ , satisfy $ \bar x \prec _n^\Sigma \bar y $ , then $ \phi (\bar x) \geqslant \phi (\bar y) $ ; if vector group $ \bar x_i ,\bar y_i \in \mathcal{S}(i = 1,2, \ldots ,m) $ satisfy $ \{ \bar x_1 ,\bar x_2 , \ldots ,\bar x_m \} \prec _n^{\bar \Sigma } \{ \bar y_1 ,\bar y_2 , \ldots ,\bar y_m \} $ , then $ \Sigma '\{ \phi (\bar x_1 ),\phi (\bar x_2 ), \ldots ,\phi (\bar x_m )\} \geqslant \Sigma '\{ \phi (\bar y_1 ),\phi (\bar y_2 ), \ldots ,\phi (\bar y_m )\} $ .

关键词： abstract mean abstract convex function abstract majorization abstract majorization inequality 26A51 26B25 39B62 52A01 60E15