高维空间中半线性波动方程的局部解

研究高维空间中半线性波动方程ｕｕ－△ｕ＝ｕ＾ｋ（ｘ∈Ｒ＾ｎ,ｋ∈Ｚ＾＋,ｋ≥２）的低正则性,得到了其Ｓｏｂｏｌｅｖ指数为ｎ／２－１／（ｋ－１）。     

一类半线性波动方程的低正则性估计

对形如ｕｕ－△ｕ－ｕ＾ｋ（Ｄｕ）＾ａ（ｘ∈Ｒ＾３,ｋ∈Ｚ＾＋,ｌ＋｜ａ｜＝２）的半线性波动方程在三维空间中的Ｓｏｂｏｌｅｖ指数进行了研究,用较简单的方法得到了与ＫｌａｉｎｅｒｍａｎＳ．和ＭａｃｈｅｄｏｍＭ．（Ａｒｃｈ Ｒａｔ Ｍｅｃｈ Ａｎａｌ,１９９２,８６（５）：３６９）相同的结果,即Ｓｏｂｏｌｅｖ指数为２。     

无界域上Schroedinger型方程的整体吸引子

本文证明了Ｓｃｈｒｏｄｉｎｇｅｒ型方程δｔｕ＝（ｋ＋ｉβ）Δｕ－│ｕ│＾ρｕ－λｕ－ｇ，ｕ（ｘ，０）＝ｕ０。其中ｕ＝ｕ（ｘ，ｔ），ｇ＝ｇ（ｘ），ｋ〉０，ρ〉０，λ〉０，ｘ∈Ｒ＾ｎ在加权Ｓｏｂｏｌｅｖ空间中强和弱吸引子的存在性，并对吸引子的分形维数也给出了估计。     

高阶摄动波动方程的Lp-Lp′估计

考虑下面高阶摄动方程解ｕ（ｘ,ｔ）的ＬｐＬｐ′估计：ｔｕ＋（－Δ）ｍｕ＋Ｖ（ｘ）ｕ＝０,ｕ（ｘ,０）＝０,ｕｔ（ｘ,０）＝ｆ（ｘ）,｛ｘ∈Ｒｎ,ｎ＞３ｍ．假设势函数Ｖ（ｘ）和初值ｆ（ｘ）具紧支集,Ｖ（ｘ）是小势,则上面问题的解满足‖ｕ（·,ｔ）‖ｐ′≤ｃｔ－ｄ‖ｆ‖ｐ,ｔ＞０,这里ｍ≥１,ｄ＝ｎｍ（１ｐ－１ｐ′）＝１,１ｐ＋１ｐ′＝１,ｍ２ｎ≤１ｐ－１２＜ｍｎ．     

三维空间中非线性波方程的整体与局部C~2(英文)

讨论下面方程的Ｃａｕｃｈｙ问题：ｕｔｔ－Δｕ＝｜ｕｔ（ｘ,ｔ）｜ｐ,ｔ≥０,ｘ∈Ｒ３,ｕ（ｘ,０）＝εｆ（ｘ）,ｕｔ（ｘ,０）＝εｇ（ｘ）,ｘ∈Ｒ３,这里Δ＝∑３ｉ＝１２ｘ２ｉ,常数ｐ＞１,ε是正参数,Ｈ．Ｔａｋａｍｕｒａ（ＣｏｍｍｉｎＰＤＥ,１９９２,１７（１＆２）：１８９）猜侧上面的Ｃａｕｃｈｙ问题在ｐ＞２时是否对充分小的初值存在整体Ｃ２解．本文将在ｆ（ｘ）,ｇ（ｘ）满足一定条件下在ｐ＞３时部分回答这个问题     

带有n-1阶差分项的n阶差分方程解的振动性及渐近性

讨论了高阶差分方程Δｎｘ（ｋ） ＋ ｐ（ ｋ）Δｎ － １ ｘ（ ｋ） ＋ ｑ（ ｋ） ｆ（ ｘ（ ｇ１（ ｋ）） ,…,ｘ（ ｇ ｍ（ ｋ））） ＝ ０ ． ｋ ∈ Ｎ（０） 解的振动性及渐近性问题． 这里Δ表示差分算子：Δｘ（ｋ） ＝ ｘ（ｋ ＋ １） － ｘ（ ｋ） ,Δｍｘ ＝ Δ（Δｍ － １ ｘ） ,ｍ ＝ １ ,２ ,…,ｎ ,Δ０ ｘ ＝ ｘ ;ｎ（ ａ） ＝ ｛ａ ,ａ ＋ １ ,…｝ ．     

反应扩散方程组在分数幂空间的整体吸引子

本文研究如下具有色散的反应扩散方程组ｕｔ＝ＤΔｕ－γｕ＋Σｎｊ＝１Ｂｊ（ｘ）ｕｘｊ＋ｆ（ｕ），ｘ∈Ω，ｔ＞０，ｕ（ｘ，ｔ）＝０，ｘ∈Ω，ｔ＞０，ｕ（ｘ，０）＝ｕ０（ｘ），ｘ∈Ω．（１）其中Ω是Ｒｎ中的有界开集且具有光滑的边界Ω，ｕ＝（ｕ１，…...     

方幂和中因子3的指数计算

设ｎ，ｘ，ｒ为正整数且ｒ＞１，ｎ＝３αｃ，３ｃ，本文给出下列方幂和中因子３的指数计算公式：Ａｕ＝∑ｎ－１ｋ＝０（ｘ＋ｕｋ）ｒ，ｕ＝１，２．     

具有Soblev临界指数的非线性椭圆型方程解的存在性

设Ω∈Ｒ＾Ｎ（Ｎ〉２）是单位球，文中讨论了非线性椭圆型方程｛－△ｎ＝ａ（ｘ）／ｎ／＾２－２＾ｕ＋λｕ，ｘ∈Ω，ｎ＝０，解的存在性，其中２＝２Ｎ／Ｎ－２是Ｓｏｂｏｌｅｖ临界指数，λ为常数。在ｎ（ｘ）的适当限制下，得到了上述问题的一个存在性结果。     

-Δu+u=Q(｜x｜)｜u｜~(p-1)u的径向解结构

讨论了半线性椭圆方程－Δｕ＋ｕ＝Ｑ（｜ｘ｜）｜ｕ｜ｐ－１ｕ,ｘ∈Ｒｎ的径向解结构,得到了判别方程的解为交叉解和慢速衰减解的充分条件,这里ｐ＞１,ｎ＞２     

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…     

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。     

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     

《Chinese Science Bulletin》SUBJECT INDEX TO VOLUME 59(2014)

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An on-line scaling method for improving scalability of a database cluster

The explosive growth of the Internet and database applications has driven database to be more scalable and available, and able to support on-line scaling without interrupting service. To support more client's queries without downtime and degrading the response time, more nodes have to be scaled up while the database is running. This paper presents the overview of scalable and available database that satisfies the above characteristics. And we propose a novel on-line scaling method. Our method improves the existing on-line scaling method for fast response time and higher throughputs. Our proposed method reduces unnecessary network use, i.e. , we decrease the number of data copy by reusing the backup data. Also, our on-line scaling operation can be processed parallel by selecting adequate nodes as new node. Our performance study shows that our method results in significant reduction in data copy time.     

An improved R-tree based on childnode''s probability

R-Tree is a good structure for spatial searching. But in this indexing structure,either the sequence of nodes in the same level or sequence of traveling these nodes when queries are made is random. Since the possibility that the object appears in different MBR which have the same parents node is different, if we make the subnode who has the most possibility be traveled first, the time cost will be decreased in most of the cases. In some case, the possibility of a point belong to a rectangle will shows direct proportion with the size of the rectangle. But this conclusion is based on an assumption that the objects are symmetrically distributing in the area and this assumption is not always coming into existence. Now we found a more direct parameter to scale the possibility and made a little change on the structure of R-tree, to increase the possibility of founding the satisfying answer in the front sub trees. We names this structure probability based arranged R-tree (PBAR-tree).     

Integrating GIS Web services based on mediating architecture

The geographic information service is enabled by the advancements in general Web service technology and the focused efforts of the OGC in defining XML-based Web GIS service. Based on these models, this paper addresses the issue of services chaining,the process of combining or pipelining results from several interoperable GIS Web Services to create a customized solution. This paper presents a mediated chaining architecture in which a specific service takes responsibility for performing the process that describes a service chain. We designed the Spatial Information Process Language (SIPL) for dynamic modeling and describing the service chain, also a prototype of the Spatial Information Process Execution Engine (SIPEE) is implemented for executing processes written in SIPL. Discussion of measures to improve the functionality and performance of such system will be included.     

Tracking data management using topology of moving object database system for moving object constrained trajectory in LBS application

Advances in wireless technologies and positioning technologies and spread of wireless devices, an interest in LBS (Location Based Service) is arising. To provide location based service, tracking data should have been stored in moving object database management system (called MODBMS) with proper policies and managed efficiently. So the methods which acquire the location information at regular time intervals then, store and manage have been studied. In this paper, we suggest tracking data management techniques using topology that is corresponding to the moving path of moving object. In our techniques, we update the MODBMS when moving object arrived at a street intersection or a curved road which is represented as the node in topology and predict the location at past and future with attribute of topology and linear function. In this technique, location data that are corresponding to the node in topology are stored, thus reduce the number of update and amount of data. Also in case predicting the location,because topology are used as well as existing location information, accuracy for prediction is increased than applying linear function or spline function.