RN上奇异非线性P--调和方程的正整体解

本文研究形如△((△u)p-1*)=f(|x|,u,|(△)u|)u-β的奇异非线性p-调和方程在RN上的正整体解,此处1＜p≤N/2,β≥0是常数,N≥3,f-R+×R+×-R+→R是一个连续函数,ξa*=|ζ|α-1ξ,ξ∈R,α＞0,给出了该类方程具有无穷多个(1)有界的,(2)其渐进阶刚好为|x|(2p-N)/(p-1)(当p＞N/2)或logt(当p=N/2)的正整体解的条件.     

环形区域上具有变号线性项的椭圆型方程的正径向解

讨论环形区域?={x∈RN|R1<|x|?a0(r);;f(u)超线性或次线性增长时;;该问题至少存在一个正径向解.     

全空间上半线性椭圆方程的解

证明了对于满足一定条件的R(x)及Q(x),全空间上半线性椭圆方程-Δu R(x)u=Q(x)|u|p-2u,u≥0,x∈RN有非平凡解.     

一类双调和方程基态解的存在性

研究以下双调和非线性椭圆方程:{Δ2 u+V(x)u=f(x,u)于RN,u∈H2(RN).其中V(x)是具有正下界的连续周期函数,非线性项f(x,u)∈C1,F(x,u)∶=∫u0f(x,s)ds具有超线性增长(但不一定满足AR条件),主要用极小化方法证明上述方程的基态解的存在性.该结果是文献[3]中半线性椭圆方程的结果在双调和型方程中的推广.     

关于RN上非齐次Kirchhoff方程的注记

运用临界点理论中的Ekeland变分原理研究了非齐次Kirchhoff方程-(1+b∫RN|▽u|2dx)Δu+V(x)u=f(u)+h(x)x∈RN解的存在性,其中V∈C(RN,R)满足infNV(x)≥a1>0,这里a1>0是一个常数,更进一步,对每个M>0,meas({x∈RN:V(x)≤M})<∞,这里meas表示RN中的Lebesgue测度;f∈C(R,R+),f(0)=0,并且f(z)≡0当z<0;limz→0f(z)/z=0,limz→+∞f(z)/z=l<+∞.     

R~N中带冲突非线性项的拟线性椭圆方程的多解性

考虑 RN中含正参数 μ的拟线性椭圆方程- div(| u| p -2 u) + | u| p-2 u=q(x) | u| α-2 u-μr(x) | u| β-2 u,u∈ W1,p(RN) ,其中 :10 ,r∈ L∞ (RN) ,r(x)≥ d>0 .证明了当 μ充分大时该方程无非零解 ,而当μ充分小时该方程有足够多的分别具有正能量与负能量的解 .     

无界区域上具有记忆项的半线性耗散波动方程整体吸引子的维数估计

在无界区域上考虑了如下具有线性记忆项的半线性耗散波动方程的整体吸引子的维数估计 (utt + ±ut ? k(0)á(x)￠u ?R10 k0(s)á(x)￠u(t ? s)ds + ?f(u) = h(x); (x; t) 2 RN ￡ R+; u(x; t) = u0(x; t); ut(x; 0) = @tu0(x; 0); x 2 RN; t · 0: 其中N ? 3, ± > 0, 并á(x)?1 =: g(x) 2 LN=2(RN)TL1(RN). 为了克服在无界区域中与微分算子á(x)￠的非紧性有关的困难, 引入了能量空间X0 = D1;2(RN) ￡ L2 g(RN) ￡L21(R+;D1;2(RN)). Hausdorff维数维数和分形维数的估计是根据特征方程?á(x)￠u =au; x 2 RN的特征值a 分布的渐近估计得出的.     

一类Boussinesq方程Cauchy问题的渐近解

研究了广义阻尼Boussinesq方程utt-auttxx-2butxx=-cuxxxx+uxx-p2u+β(u2)xx小初值问题的解,其中x∈R1,t>0,a>0,b>0,c>0,p≠0且β∈R1.对应于阻尼振动的情形a+c>b2,建立了方程整体解的适定性.同时推出了长时间的一个渐近解.     

全空间上带 Hardy-Sobolev 临界指数的拟线性椭圆方程变号解的存在性

讨论了全空间上一类带Hardy-Sobolev临界指数的拟线性椭圆方程{-Δpu-μ|u|p-2 u/|x|p=λ|u|p(t)-2/|x|tu+f(x,u),x∈RNu∈D01,p(RN)其中:D01,p(RN)是C0∞(RN)的闭包,Δpu=-div(|▽u|p-2▽u),20,0≤t相似文献   

一类半线性Boussinesq方程Cauchy问题的渐近近似解

研究如下Boussinesq方程的整体解utt-2butxx=-αuxxxx+uxx+β(u2)xx,这里,x∈R1,t>0,b,α,β是正常数.假设α-b2>0时,在Sobolev空间C([0,+∞),L2([0,+∞)))∩C1([0,+∞),H-1([0,+∞)))中,得到了上面问题整体解的适定性及长时间渐近解.     

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.