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1.
研究一类具阻尼非线性波动方程的初边值问题{utt-αuxxtt-uxx+βut+γuxxt=φ(ux)x+f(u)xx-g(u),x∈(0,1),t〉0,u(0,t)=u(1,t)=0,t≥0,u(x,0)=u0(x),ut(x,0)=u1(x),x∈[0,1]}局部古典解和整体古典解的存在性和唯一性,其中,α,β〉0,γ〈0均为常数,u(x,t)为未知函数,φ(s),f(s)和g(s)为给定的非线性函数,u0(x)和u1(x)是给定的初值函数.  相似文献   

2.
研究了非线性奇异四阶边值问题{u^(4)(t)=λh(t)f(u(t)),0〈1〈1 u(0)=a,u(1)=b,u"(0)=c,u"(1)=d 的正解,应用不动点指数理论和上下解的方法.讨论了当λ〉0时,其正解的存在与x的关系,改进和推广丁文献[1]的结论。  相似文献   

3.
主要研究退化的粘性守恒律方程的熵解的收敛性问题.采用Kuznetsov的证明方法,类似于他对非退化的情形的讨论,证明了当‖ε‖C0→0时,粘性守恒律方程utε+f(uε)x=ε(x,t)uεxx(ε(x,t)≥0)初值问题的解uε(x,t)收敛到无粘守恒律方程ut+f(u)x=0相应初值问题的解u(x,t),并给出了收...  相似文献   

4.
研究了下列非线性反应扩散方程初边值问题:{ut(x,t)=Δu(x,t)+up(x,t)+a(x)u(x,t),x∈Ω,t〉0 u(x,t)=0,x∈Ω,t〉0 u(x,0)=u0(x),x∈Ω非负解的整体存在和爆破问题.文章中利用半群方法得到解的整体存在的条件,利用特征函数方法分析了解在有限时刻爆破的条件.  相似文献   

5.
非线性波动方程的解的存在性和衰减性   总被引:2,自引:0,他引:2  
设Ω是n中的有界开集,对Ω上一致有界的函数a(x)≥0和一个常数ρ≥0,考虑了非线性粘性波动方程|ut|ρutt-u+∫0^tμ(t-s)u(s)ds+a(x)|ut|ρut+g(u)=0.首先,利用Faedo-Galerkin逼近方法证明了整体弱解的存在性; 其次,通过函数F(t)=E(t)+ε1φ(t)+ε2χ(t)的估计,得到了能量的指数衰减性.  相似文献   

6.
运用能量方法证明了如下非线性Schroedinger方程组Cauchy问题 {iut=Δu+|v|^2u,x∈R^n,t〉0,ivt=Δv+|u|^2v,x∈R^n,t〉0,u(x,0)=φ(x),v(x,0)=ψ(x) 存在有限时间T,使得当t→T^-时‖grad u(t)‖L^2(R^n)+‖grad v(t)‖L^2(R^n)=+∞.  相似文献   

7.
非连续三点边值问题在非共振条件下的弱解   总被引:1,自引:1,他引:0  
运用Tarski不动点定理,研究二阶三点非连续边值问题u″(t)=f(t,u(t),u′(t)),a.e.t∈I=[0,1],u(0)=0,u(1)=ξu(η),其中ξ〉0,0〈η〈1,满足非共振条件0〈ξη〈1,得到了新的弱解的存在性结果.  相似文献   

8.
主要讨论R^n上一类线性抛物方程解的大时间渐近性态,利用Fourier分解方法和Parseval等式,得到了解在L^2空间衰减的上下界为C1(1+t)^-(n)/(4α)≤‖u(x,t)‖L^2(R^n)≤C2(1+t)^-(n)/(4α),其中C1=C1(δ,ε),C2(‖u0‖2,‖u0‖1).  相似文献   

9.
文章利用不动点指数理论,在Banach空间中讨论了方程{-u=f(t,u(t)) u(0)=θ u(1)=cu(ξ).其中:c〉0,ξ〉0,且0〈cξ〈1,得到了这类边值问题正解存在的充分条件,推广和改进了相关文献的结论。  相似文献   

10.
研究了一类p—Laplace发展方程ut=div(|▽u|^p-2▽u)+au∫Ωu^q(x,t)dx在一个有界域Ω R^N(N〉2)解的存在性,其中Δp=div(|▽u|^p-2▽u),P〉1,r,q〉0.证明了当r,q≥1时,方程的解唯一存在;而在r〈1或者q〈1时局部解存在,但唯一性未必成立.  相似文献   

11.
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.  相似文献   

12.
何延凌 《科技信息》2008,(4):258-258
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.  相似文献   

13.
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.  相似文献   

14.
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。  相似文献   

15.
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.  相似文献   

16.
AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…  相似文献   

17.
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.  相似文献   

18.
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.  相似文献   

19.
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-  相似文献   

20.
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-  相似文献   

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