二维非线性Schrdinger方程平衡解的稳定性分析

讨论了非线性Schro。dinger方程:iut=-Δu-λu2u-(1+iα)u,α≠0,λ∈R.平衡解的稳定性,并应用行波解的方法证明了:当α>0时相应的平衡解是不稳定的;当α<0时,相应的平衡解是渐近稳定的.     

一类奇异椭圆方程无穷多解的存在性

研究了有界区域ΩRN上奇异椭圆方程-Δu-μu|x|2=|u|2*(s)-2u|x|s fλ(x,u)无穷多解的存在性.在f满足非二次条件的情况下,运用对偶喷泉定理证明了存在λ*>0,使得,当λ∈(0,λ*)时,该方程有无穷多个弱解{uk}满足I(uk)<0,并且I(uk)→0,k→ ∞.     

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 .     

复Ginzburg-Landau方程弱解的唯一性

证明了n维欧式空间中复Ginzburg-Landau方程ut-(λ+iα)Δu+(κ+iβ)|u|p-2 u-γu=0在光滑有界区域Ω上弱解的唯一性,其中,i=(-1)^(1/2),λ,κ,γ>0,α,β∈R.用先验估计的方法将2维空间中唯一性结果推广到了任意维空间上,只限制指数2相似文献   

带有临界Sobolev-Hardy指数的奇异非齐次双调和问题

设Ω是RN(N≥5)中的有界光滑区域,0∈Ω,0≤s＜4,2*(s):=2(N-s)/N-4是临界Sobolev-Hardy指数,f(x)是一个给定的函数.利用变分原理,证明了当f(x),λ,μ满足一定条件时,带有Dirichlet边值条件的奇异临界非齐次问题△2u-μu|x|4=|u|2*(s)-2/|x|su λu f(x)解的存在性.     

一类合作型拟线性椭圆方程组多个解的存在性

利用Ekeland's变分原理和山路引理,考虑合作型拟线性椭圆系统-Δpu=λa(x)|u|p-2u+λ/β+1b(x)|u|α|v|βv+Fu(x,u,v),x∈Ω;-Δqu=λc(x)|v|q-2v+λ/α+1b(x)|u|α|v|βu+Fv(x,u,v),x∈Ω;u=v=0,x∈Ω在参数λ从左边无限接近于相应的非线性特征值问题的第一个特征值λ1时,系统有3个非平凡解.     

一类带调和势的非线性阻尼Schroedinger方程

研究如下方程的初值问题iut=Δu-|x|2u+q(|u|2)u-(ia)/(2)u, x∈Rn, t＞0,u(x,0)=u0(x), x∈Rn,得出当初值u0和q满足一定的条件时,该方程不存在整体解.     

一类非线性抛物方程解的熄灭

讨论了非线性抛物方程初边值问题ut=△u+λ|u|γ-1u-βup,(x,t)∈Ω×(0,+∞),u(x,t)|Ω×(0,+∞)=0,u(x,0)=u0(x),x∈Ω解的渐近性态,给出了解在有限时间熄灭的充分条件.     

一类带调和势的非线性阻尼Schrǒdinger方程

研究如下方程的初值问题iut=Δu-|x|2u+q(|u|2)u-(ia)/(2)u, x∈Rn, t＞0,u(x,0)=u0(x), x∈Rn,得出当初值u0和q满足一定的条件时,该方程不存在整体解.     

带有临界Sobolev-Hardy指标椭圆问题的径向解

设Ω(∪)RN是球心在原点半径为R的球形区域,N≥3,0≤s＜2,2*(s)=2(N-s)/N-2,μ≥0,λ＞0.运用变分方法和分析技巧,证明了带有Dirichlet边界条件的奇异临界问题-△u-μu/|x|2=|u|2*(s)-2/|x|s u+λu的无穷多个径向解的存在性.这些解都带有不同个数的节点.     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

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.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

A computer generator for randomly layered structures

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

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.     

Jane Eyre——A Feminist In The 19th Century

In the 19th century the society was controlled by men, and women were just appendants of them, they had not any rights and freedom. But Jane was an exception, she showed some characteristics of early feminist. Jane showed her characteristics of feminism in three aspects: rebellion, equality, and independence. These characteristics were helpful to her success, and feminism is the only way out for women of that time.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-