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sPATIAL sTRUCTURE EVOLUTION Of sYsTEM Of RECREATION BUsINEss DIsTRICT——A Case of suzhou City

Chinese Geographical science 2003年第4期13卷 370-377页

作者： LILi-mei TAOWei HongKongBaptistUniversity HongKongP.R.China CenterforTourismPlanning＆Research ZhongshanUniversityGuangzhou510275P.R.China

The growing attention on urban tourism was very widespread. There are two angles to study urban tourism: supply-side and demand-side. And the supply-side of the tourism remains very important. The RBD (Recreation Business District) is a useful framework to understand the components of urban tourism and how they fit together. The paper begins with a review on the RBD and the spatial structure of tourism in urban areas and then attempts to develop a more general understanding of the spatial structure evolution of RBDs in a tourist-historic city-suzhou. The spatial structures and functions of the RBDs in suzhou are examined, based on field observations, interviews with city officials and industry leaders, and a review of available documents. The urban tourism of suzhou has developed in a range of contexts, that various types of RBDs have emerged as a result of different urban development strategies. The spatial structure has evolved from the past "single-cored structure" to "Double-cored structure" at present, and then to "Chain structure" in the future. The spatial form and evolution of RBD in suzhou are closely relative with its urban spatial expansion. Urban area dispersal is the prerequisite of the emergence of the RBD. Planning and constructing the RBD becomes a new impetus to urban growth or renewal. finally, a number of strategies for planning and developing the RBD in suzhou are suggested. The different RBDs should adopt different strategies. Intensification can be the possible strategy for the RBDs in the ancient city. Accreting with the urban theme park or engrafting on the Jinji Lake is suggested respectively for the RBD in the suzhou New District and the suzhou Industrial Park.

关键词： suzhou recreation business district (RBD) spatial structure evolution

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Asymptotic Behavior of solutions of a free Boundary Problem Modeling Multi-layer Tumor Growth in Presence of Inhibitor

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Acta Mathematica sinica,English series 2011年第8期27卷 1621-1636页

作者： Xiu mei HOU Wuhan Bioengineering Institute Wuhan 430415 P. R. China Department of Mathematics Sun Yat-Sen University Guangzhou 510275 P. R. China

In this paper we study well-posedness and asymptotic behavior of solution of a free boundary problem modeling the growth of multi-layer tumors under the action of an external inhibitor. We first prove that this problem is locally well-posed i[n little H61der spaces. Next we investigate asymptotic behavior of the solution. By computing the spectrum of the linearized problem and using the linearized stability theorem, we give the rigorous analysis of stability and instability of all stationary fiat solutions under the non-fiat perturbations. The method used in proving these results is first to reduce the free boundary problem to a differential equation in a Banach space, and next use the abstract well-posedness and geometric theory for parabolic differential equations in Banach spaces to make the analysis.

关键词： free boundary problem multi-layer tumor inhibitor well-posedness asymptotic behavior

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Large Deviations for Hitting Times of a Random Walk in Random Environment on a strip

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Acta Mathematica sinica,English series 2014年第3期30卷 395-410页

作者： mei Juan ZHANG school of statistics and Mathematics Central University of Finance and Economics

We consider a random walk in random environment on a strip, which is transient to the right. The random environment is stationary and ergodic. By the constructed enlarged random environment which was first introduced by Goldsheid （2008）, we obtain the large deviations conditioned on the environment （in the quenched case） for the hitting times of the random walk.

关键词： Random walk in random environment strip large deviations quenched enlarged randomenvironment

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Ordering Trees by Their spectral Radii

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Acta Mathematicae Applicatae sinica 2014年第4期30卷 1107-1112页

作者： Ai-mei YU Department of Mathematics Beijing Jiaotong University

Let T be a tree with n vertices and let A（T） be the adjacency matrix of T. spectral radius of T is the largest eigenvalue of A（T）. Wu et al. [Wu, B.f., Yuan, X.Y, and Xiao, E.L. On the spectral radii of trees, Journal of East China Normal University （Natural science）, 3：22-28 （2004）] determined the first seven trees of order n with the smallest spectral radius. In this paper, we extend this ordering by determining the trees with the eighth to the tenth smallest spectral radius among all trees with n vertices.

关键词： tree spectral radius ordering

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Intersections of Homogeneous Cantor sets with Their Translations

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Acta Mathematica sinica,English series 2008年第8期24卷 1313-1318页

作者： mei feng DAI Nonlinear scientific Research Center Faculty of Science Jiangsu University Zhenjiang 212013 P. R. China

We pursue the study on homogeneous Cantor sets with their translations. We get the fractal structure of intersection I（t）, and find that the Hausdorff measure of these sets forms a discrete spectrum whose non-zero values come only from shifting numbers with the coding of t. Concretely, a very brief calculation formula of the measure with the coding of t is given.

关键词： homogeneous Cantor set intersection fractal structure discrete spectrum

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sediment discharge of the Yellow River, China: past, present and future——A synthesis

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Acta Oceanologica sinica 2015年第2期34卷 1-8页

作者： REN mei'e Key Laboratory of Coast and Island Development of Ministry of Education school of Geographic and Oceanographic sciences Nanjing University

The Yellow River cut through sanmenxia Gorge and discharged into the sea via the North China Plain in 150 ka BP; since then, around 86 000 × 108 t sediment has been transported passing sanmenxia Gorge. Based on land use and land cover changes in Loess Plateau and other available evidence, an estimate of the Yellow River sediment budget is presented here： about 72% of the sedimentary material was trapped in the North China Plain and the remainder（i.e., 26%） escaped to the sea. At the present stage, 〈 0.2×108 t/a suspended sediment of the Yellow River enter the northern Yellow sea. The transport pattern is determined mainly by the shelf current system. Annually 0.2×108–0.3×108 t of suspended particles are carried to the East China sea; the materials are derived mainly from coastal and subaqueous delta erosion associated with the abandoned Yellow River on the Jiangsu coast. since 1972, the lower Yellow River started to have a situation of continuous no-flow. During 1996–2000, the annual water flow and sediment discharge are only 19%, as compared with normal years（i.e., average for 1950–1979）. In response to global warming and increase of water diversion from the Yellow River for industrial and urban use, the sediment flux of the Yellow River to the sea will most likely remain small in the next two to three decades.

关键词： Yellow River Loess Plateau sediment budget transport patterns sediment retention

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8-ranks of Class Groups of some Imaginary Quadratic Number fields

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Acta Mathematica sinica,English series 2007年第11期23卷 2061-2068页

作者： Xi mei WU Department of Mathematics Nanjing University of Aeronautics and AstronauticsNanjing 210016 P. R. China state Key Laboratory of Information security Graduate school of Chinese Academy of sciences Beijing 100039 P. R. China

Let f = Q（√-p1p2） be an imaginary quadratic field with distinct primes p1 = p2 = 1 mod 8 and the Legendre symbol （p1/p2） = 1. Then the 8-rank of the class group of f is equal to 2 if and only Pl if the following conditions hold：（1） The quartic residue symbols （p1/p2）4 = （p2/p1）4 = 1; （2） Either both p1 and p2 are represented by the form a^2 ＋ 32b^2 over Z and p^h2＋（2p1）/4=x^2-2p1y^2,x,y∈Z,or both p1 and p2 are not represented by the form a^2 ＋ 32b^2 over Z and p^h2＋（2p1）/4=ε（2x^2-p1y^2）,x,y∈Z,ε∈{±1},where h＋（2p1） is the narrow class number of Q（√2p1）,Moreover, we also generalize these results.

关键词： class group Rédei matrix reciprocity law

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L^(p) Decay Rate for a Nonlinear Convection Diffusion Reaction Equation in R~n

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Acta Mathematicae Applicatae sinica 2021年第2期37卷 380-392页

作者： Guo-wei LIU Hong-mei XU Yuan-mei XIA school of Mathematical sciences Chongqing Normal UniversityChongqing 40000China faculty of science Hohai UniversityNanjing 211100China

This paper studies the asymptotic behavior of solutions for a nonlinear convection diffusion reaction equation in R^(n).firstly,the global existence and uniqueness of classical solutions for small initial data are ***,we obtain the L^(p),2≤p≤+∞decay rate of *** approach is based on detailed analysis of the Green function of the linearized equation with the technique of long wave-short wave decomposition and the fourier analysis.

关键词： convection diffusion reaction equation Green function L^(p)decay rate

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A Landesman-Lazer Type Theorem for Periodic solutions the Resonant Asymmetric p-Laplacian Equation

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Acta Mathematica sinica,English series 2005年第5期21卷 1219-1228页

作者： mei Yue JIANG LMAM School of Mathematical Sciences Peking University Beijing 100871 P. R. China

In this paper, we give a Landesman-Lazer type theorem for periodic solutions of the asymmetric 1-dimensional p-Laplacian equation -（｜x＇｜^p-2x＇）＇=λ｜x｜^p-2x＋＋μ｜x｜^p-2x-＋f（t,x）with periodic boundary value.

关键词： ρ-Laplacian equation Periodic solution Landesman-Lazer theorem

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The Products of Three Theta functions and the General Cubic Theta functions

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Acta Mathematica sinica,English series 2010年第6期26卷 1115-1124页

作者： Xiao mei YANG Department of Mathematics East China Normal University Shanghai 200241 P. R. China

In this paper we establish two theta function identities with four parameters by the theory of theta functions. Using these identities we introduce common generalizations of Hirschhorn-Garvan-Borwein cubic theta functions, and also re-derive the quintuple product identity, one of Ramanujan＇s identities, Winquist＇s identity and many other interesting identities.

关键词： Jacobi theta function quintuple product identity Winquist's identity Ramanujan identity

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