受约束非线性控制系统正则方程的可解性分析

讨论了受约束条件下的非线性控制系统，通过Taylor一阶展开，在每一失代步中将问题转化成线性约束控制问题，进一步通过变分原理，对一般情况建立了约束变量的正则方程，进而建立了约事变量的极值变分原理，由此进行了正则方程的可解性分析，结果表明，约束变量二次型的系数阵满足可逆且负定的条件下，控制系统正则方程存在可解性，这对非线性控制系统的处理具有很大意义。     

加速系中的高阶微分变分原理和积分变分原理

建立了加速参考系中的最一般的高阶微分变分原理及积分变分原理，假定了高阶微分运算ｄ和高阶变分运算δ的新型交换关系，建立了与之相应的各种形式的高阶非线性非完整系统的积分变分原理．并由此导出相应的加速系力学组的运动方程，还推广了Ａｐｐｅｌｌ－Чｅтａｅв关于约束加在虚位移上的条件．     

大变形非线性弹性动力学的分区变分原理

该文提出了论证分区变分原理的“Ｎ＞２直接方法”，并且用这一方法把大变形非线性弹性静力学的分区变分原理￣［１］推广到弹性动力学问题。该方法提出并解决了在从Ｎ＝２情形推广到Ｎ＞２情形的过程中必然存在的问题。当非线性高阶项可忽略时，由该文结果可直接得到线性弹性动力学的分区变分原理及其广义变分原理￣［２］。该文结果可以作为大变形非线性弹性动力学问题有限元计算的基础。     

具次临界扰动项的非线性Hartree方程驻波的存在性

研究了一类具次临界扰动项的非线性Hartree方程驻波解的存在性.根据2个非线性项的特征,分2类情形建立相应的约束变分问题,得到了该类Hartree方程在2种情形下驻波的存在性.     

二维有旋流动赝势函数变分原理

通过对Euler空间的Hamilton原理的详细的数学分析，把两个林家翘约束变换为一个约束；并以变分所得欧拉方程为基础，从另一个角度推导出了动量方程；通过对变分边界项的分析，构造出了自然边界条件，进而得出计算二维流场的赝势函数变分原理。     

二阶非完整非保守动力学系统的守恒律

本文应用Jourdain微分变分原理研究了非保守力学系统的守恒定律,给出了受二阶非线性非完整约束的非保守系统的广义Noether等式。     

集值映射型广义Ekeland变分原理

在序拓扑向量空间中定义了集合的非线性标量化函数,
 并证明了它的一些性质. 利用集合的非线性标量化函数, 给出了关于集值映射的广义Ekela
nd变分原理, 此变分原理是向量形式广义Ekland变分原理的推广.     

具有混合非线性项的Schrdinger方程临界值的存在性

通过将约束变分问题中的泛函转化为非负泛函,利用Schwartz对称化、Lagrange乘子及最优Sobolev不等式等经典变分方法,研究了混合非线性项为质量超临界项加上能量临界或者次临界聚焦项的Schrdinger方程临界值的存在性问题,证明了临界值的存在性,并给出了临界值,为进一步研究此类方程的整体适定性和散射奠定了基础.     

紧集上锥约束集值平衡问题解的存在性

平衡问题理论在非线性分析、最优化以及数理经济学等方面都有广泛的应用.本文讨论的是更具意义的锥约束集值平衡问题,并通过集值Ekeland变分原理,证明了紧集上锥约束集值平衡问题解的存在性.     

关于Hilbert空间中一类广义随机非线性变分不等式

介绍并研究了Hilbert空间中的Minty型广义随机非线性变分不等式问题,并在适当的条件和假设下,得到了这类广义非线性随机变分不等式和Stampacchia型广义随机非线性变分不等式的等价的结论;运用该结论,结合随机化的Banach压缩映像原理得到了关于这一类广义随机非线性变分不等式问题的一些新的随机解的存在性结果.     

An Index mechanism for multi-scale view in spatial databases

There are numerous geometric objects stored in the spatial databases. An importance function in a spatial database is that users can browse the geometric objects as a map efficiently. Thus the spatial database should display the geometric objects users concern about swiftly onto the display window. This process includes two operations:retrieve data from database and then draw them onto screen. Accordingly, to improve the efficiency, we should try to reduce time of both retrieving object and displaying them. The former can be achieved with the aid of spatial index such as R-tree, the latter require to simplify the objects. Simplification means that objects are shown with sufficient but not with unnecessary detail which depend on the scale of browse. So the major problem is how to retrieve data at different detail level efficiently. This paper introduces the implementation of a multi-scale index in the spatial database SISP (Spatial Information Shared Platform) which is generalized from R-tree. The difference between the generalization and the R-tree lies on two facets: One is that every node and geometric object in the generalization is assigned with a importance value which denote the importance of them, and every vertex in the objects are assigned with a importance value,too. The importance value can be use to decide which data should be retrieve from disk in a query. The other difference is that geometric objects in the generalization are divided into one or more sub-blocks, and vertexes are total ordered by their importance value. With the help of the generalized R-tree, one can easily retrieve data at different detail levels.Some experiments are performed on real-life data to evaluate the performance of solutions that separately use normal spatial index and multi-scale spatial index. The results show that the solution using multi-scale index in SISP is satisfying.     

Characterization of Ordovician carbonate reservoirs, southeastern Saskatchewan, Canada

The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3～4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰～ -7.8‰, PDB) and matrix dolomites (-6.6‰～ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084～0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078～0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.     

A computer generator for randomly layered structures

AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…     

Perspherical Approaches for Electrons in Atoms and Charged Excitons in Quantum Wells

Instead of following Fock’s expansion,we solve the Schrodinger equation for some quantum mechanical manybody systems such as electrons in atoms and charged excitons in quantum wells in a similar way in hyperspherical coordinates by expanding the wave functions into orthonormal complete basis sets of the hyperspherical hannonics(HHs)of hyperangles and generalized Laguerre polynomials(GLPs)of the hyperradius.This leads the equation to     

Advances in broadband wireless communications under high-mobility scenarios

Future mobile communication systems aim at providing very high data transmission rates, even in high-mobility scenarios such as high-speed wheel-track trains, maglev trains, highway vehicles, airplanes, guided missiles or spacecraft. A particularly important commercial application is the strong and increasing worldwide demand for high- speed broadband wireless communications （up to 574.8 km/ h test speeds or 380 km/h commercial speeds） in railways, providing data, voice and video services for applications such as onboard entertainment services to passengers, train control, train dispatch, train sensor status handling and sur- veillance. In such high-mobility scenarios, there are a number of communication challenges, including fast hand- over, location updating, high-speed channel modeling, estimation and equalization, anti-Doppler spreading tech- niques, fast power control, and dedicated network architec- ture. Because signal transmission in very high-speed scenarios will inevitably experience serious deterioration, it is imperative to develop key broadband mobile communi- cation techniques for such high-speed vehicles.     

Wuhan University Journal of Natural Sciences TOTAL CONTENTS

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海南岛地体及其毗邻陆缘晚中生代—新生代古地磁研究和构造演化

本文叙述了对海南岛及其毗邻大陆边缘白垩纪到第四纪地层岩石进行古地磁研究的全部工作过程。通过分析岩石中剩余磁矢量的磁偏角及磁倾角的变化,提出海南岛白垩纪以来经历的构造演化模式如下:早期伴随顺时针旋转而向南迁移,后期伴随逆时针转动并向北运移。联系该地区及邻区的地质、地球物理资料,对海南岛上述的构造地体运动提出以下认识:北部湾内早期有一拉张作用,主要是该作用使湾内地壳显著伸长减薄,形成北部湾盆地。从而导致了海南岛的早期构造运动,而海南岛后期的构造运动则主要是受南海海底扩张的影响。海南地体运动规律的阐明对于了解北部湾油气盆地的形成演化有重要的理论和实际意义。     

Scale-based spatial data model for GIS

Being the primary media of geographical information and the elementary objects manipulated, almost all of maps adopt the layer-based model to represent geographic information in the existent GIS. However, it is difficult to extend the map represented in layer-based model. Furthermore, in Web-Based GIS, It is slow to transmit the spatial data for map viewing. In this paper, for solving the questions above, we have proposed a new method for representing the spatial data. That is scale-based model. In this model we represent maps in three levels: scale-view, block, and spatial object, and organize the maps in a set of map layers, named Scale-View, which associates some given scales.Lastly, a prototype Web-Based GIS using the proposed spatial data representation is described briefly.     

Exciton Seebeck in Molecular Systems

Various applications relevant to the exciton dynamics,such as the organic solar cell,the large-area organic light-emitting diodes and the thermoelectricity,are operating under temperature gradient.The potential abnormal behavior of the exicton dynamics driven by the temperature difference may affect the efficiency and performance of the corresponding devices.In the above situations,the exciton dynamics under temperature difference is mixed with     

Achieving Unusual States of Matter Under High Pressure

The elongation method,originally proposed by Imamura was further developed for many years in our group.As a method towards O(N)with high efficiency and high accuracy for any dimensional systems.This treatment designed for one-dimensional(ID)polymers is now available for three-dimensional(3D)systems,but geometry optimization is now possible only for 1D-systems.As an approach toward post-Hartree-Fock,it was also extended to