拟线性椭圆型方程Dirichlet问题非平凡解的存在性

本文利用山路引理在广义Sobolev空间■~(1,F)(Ω)(其中P=(P_1,P_2,…,P_n),P_(?)≥2,i=1,2,…,n)中讨论了下面Dirichlet问题非平凡解的存在性:(?)(x,u,Du)-F_n(x,u,Du)=0,x∈Ω,证明了上述方程在(?)~(1,p)(Ω)中具有非平凡弱解,并且如果I(u)=∫_(Ω)F(x,u,Du)dx是偶泛函,则上述问题具有无穷多个非平凡弱解。     

非齐次渗流型方程解的存在性和渐近状态

本文讨论一类非齐次渗流型方程的初边值问题: a/(at)u-△β(u)+▽·G(u)=f_1(x,t)+f_2(x,t)|u|~μu, u|_(aΩ)=0,u(x,0)=u_0(x). 我们从非退缩方程的初边值问题着手,导出对解的估计的一个微分不等式,由此可以建立上述问题广义解的存在性和渐近性的结论。本文的工作是[3]的改进和推广。     

一类拟线性椭圆方程非平凡解的存在性

本文研究一类拟线性椭圆方程■=a(x)·u+f(x,u) x∈Ωu|(?)Ω=0非平凡解的存在性。     

含临界指数的双调和问题非平凡解的存在性

讨论如下含临界指数的双调和方程非平凡解的存在性{Δ2u=μ(u)/(|x|s) |u|2*-2u λu f(x), x∈Ω,u=((e)u)/((e)v)=0, x∈(e)Ω .其中Ω(∪)RN是有界光滑区域,0∈Ω, N≥5, 0≤s≤4,0≤μ＜(-μ)=(N(N-4)/4)2,2*=(2N)/(N-4)为W2,2(Ω)中Sobolev嵌入的临界指数,u, v表示(e)Ω的外法线方向,f(x)为给定函数.通过变分方法,我们证明了含临界指数的双调和方程非平凡解的存在性.     

人口问题中的三维Ginzburg-Landau模型方程

讨论以下三维广义Ginzburg—Landau方程的初边值问题{u1=-a1↓△^4u a2↓△^24 ↓△^2g(u) g(u),u|DΩ=0,↓△^2u|DΩ=0,u(x,0)=u0(x)。首先，应用Galerkin方法和紧致性定理证明上述问题整体广义解和整体古典解的存在性和惟一性；其次，给出了解爆破的充分条件；最后，证明上述问题的广义解和古典解当t→ ∞时依L2范数趋于零。     

一类具有广义次临界条件的半线性椭圆方程解的多重性

考虑如下带有Dirichlet边值条件的半线性椭圆方程:{-Δu=f(x,u)x∈Ωu=0 x∈Ω在非线性项f满足广义次临界及其他条件时,通过Morse理论和局部环绕定理得到方程有两个非平凡解的结论.     

一类具弱阻尼的奇性扰动Boussinesq型方程的位势井方法

采用位势井方法研究一类具弱阻尼的奇性扰动Boussinesq型方程的初边值问题utt-uxx-αux4-βux6 but=σ(u)xx,x∈Ω,t>0,u(0,t)=u(1,t)=uxx(0,t)=uxx(1,t)=ux4(0,t)=ux4(1,t)=0,t>0,u(x,0)=u0(x),ut(x,0)=u1(x),x∈Ω,其中uxi=ixui,σ(s)是一个已知的非线性函数,α和β是两个正的实常数,b≥0是任意实数,Ω=(0,1).得到了相应初边值问题整体广义解的存在唯一性.     

一类p-拉普拉斯方程解的存在性

应用山路引理及集中紧性引理研究方程-Δpu+V(x)︱u︱p-2u=μ︱u︱p*-2u+λP(x)︱u︱q-2u,x∈Ω,u︱Ω=0,pqp*非平凡解的存在性,推广了关于问题-Δu=︱u︱2*-2u+λ︱u︱q-2u,u∈H01(Ω)非平凡解的存在性的结果.     

广义神经传播型方程的局部解

研究一类广义神经传播型方程的u″-M(∫Ωu2dx)△u βu′-△u′ g(u)=f(x),(x,t)∈Q=Q=Ω×[0,T]的初边值问题的局部解的存在性.利用Galerkin方法和改进的第二能量方法得到主要结果:当M(r),g(u)满足一定的条件且初值充分小,方程存在唯一局部解.     

半线性椭圆方程的多解问题

用Morse理论和三临界点定理,得到半线性椭圆方程{-Δu=λ1u+g(x,u)+h(x)x∈Ωu=0 x∈Ω有两个非平凡解的结果.     

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.     

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.     

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.