一类强退化方程解的存在惟一性

研究一类含源的具双重强退化方程初边值问题解的存在惟一性, 由于退化的存在使得问题不存在古典解. 通过定义弱解, 借助于正则化问题结合紧致补偿定理证明了弱解的存在性, 并在一定条件下利用Holmgren方法证明了弱解的惟一性。     

一类双重退化抛物型方程的Cauchy问题

研究一类双重退化抛物型方程的Cauchy问题, 给出了弱解 熵解的定义, 并借助于正则化问题利用补偿紧致定理证明了问题熵解的存在性, 利用双变量方法得到这种弱解的稳定性.     

一类非散度型退化抛物方程广义解的存在性

讨论一类非散度型退化抛物方程的初边值问题. 利用抛物正则化方法, 证明了该问题广义解的存在性. 对初边值和方程做了两重正则化, 并分别进行了一系列的估计. 利用分析方法, 证明了所得逼近解序列的弱收敛性, 进而证明了其弱解的存在性.     

人口问题中一般扩散模型的径向对称解

研究四阶非线性抛物方程初边值问题的径向对称解. 采用抛物正则化方法, 借助Campanato空间框架和一致Schauder型估计, 得到了正则化问题古典解的存在性, 并基于正则化问题解的一些必要一致估计, 证明了弱解的存在性.     

具退化性的一类非线性扩散方程的正则化解

研究具退化性的一类非线性扩散方程的初边值问题. 基于弱解存在性的证明和消失粘性法, 引入了正则化解的概念, 优点是能够确保正则化解的惟一性, 而且在某些条件下又有存在性. 证明了正则化解的一个重要性质, 即解的支集关于时间的不变性; 并对此问题的一个特殊情形, 构造出其显示的正则化解. 最后, 应用能量估计方法, 研究了正则化解的长时间行为.     

一类退化抛物方程解的性质

对一类具有扰动项的退化抛物方程,考虑其解的性质.即证明扰动问题的解的极限(ε→0)是不含扰动项的退化抛物方程的解.本文是先把具扰动项的退化抛物方程正则化,然后证明正则化问题的解的H(o)lder连续性以及满足的两个不等式,由正则化问题解的性质得到原退化抛物方程的解的性质,最后证明ε→0时解的极限性质.     

一类非局部退化反应扩散方程组解的存在性

讨论了一类退化的具有非局部项的非线性反应扩散方程组解的存在性.首先利用了正则化方法证明正则问题解的存在性,进而证明了非线性反应扩散方程组的古典解的存在性;其次利用上下解方法来解决非线性反应扩散方程组解的整体存在,针对参数所满足的条件不同来构造不同结构的上解,从而得到了方程组解的整体存在条件.     

一维拟线性退化抛物方程的Dirichlet问题

考虑了一类一维拟线性退化抛物方程的Dirichlet问题,证明了其弱解存在性,主要思想是采用了压缩半群的方法,首先构造了一个耗散算子A0,然后用正则化方法和椭圆方程理论,证明了方程u-λA0u=v存在惟一解.结合指数公式,在L1(Ω)上就可以构造压缩半群S(t)v.最后证明了由压缩半群构造的解S(t)u0满足方程.     

一类拟线性退化抛物方程组全局解的存在惟一性

研究带有第一初边值条件的弱耦合发展型p-Laplace方程组. 在适当的假设条件下,利用单调性迭代技术及正则化方法构造一个解序列, 从而得到了正则化方程组的弱解. 通过标准的极限过程及积分方法, 得到了发展型p-Laplace方程组弱解的存在性和惟一性.     

一维双极粘滞量子流体力学模型解的存在性

研究了一类一维稳态双极半导体方程的粘滞量子流体力学模型.该模型包含关于粒子浓度和电流密度的连续方程以及电势Poisson方程的耦合方程组,其中含有三阶量子修正项和二阶粘滞项.该问题在有界区间(0,1)中讨论,并通过边界条件的假设将原方程组变形为常见的形式,得到原问题的等价问题.用截断方法将等价问题正则化,并得到正则化问题解的先验估计.利用Leray-Schauder不动点定理证明正则化问题解的存在性,最后通过L∞估计证明正则化问题的解即为原问题的解,从而证明了原双极粘滞量子流体力学模型存在稳态解.     

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.     

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.     

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-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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