动脉中血液脉动流的一种分析方法

动脉中的血液流动被分解为平衡状态（相当于平均压定常流状态）和叠加在平衡状态上的周期脉动相，利用Fung的血管应变能密度函数分析血管壁在平衡状态下的应力－应变关系，确定相对于平衡状态血管作微小变形所对应的周向弹性模量和轴向弹性模量，并建立在脉动压力作用下相应的管壁运动方程，与线性化Navier-Stokes方程联立，求得血液流动速度和血管壁位移的分析表达式，详细讨论血管壁周向和轴向弹性性质差异对脉搏波，血液脉动特性以及血管壁运动的影响。     

一类非线性薛定谔方程的多解的存在性

本文讨论了如下一类非线性薛定谔方程：-△u＋V（x）u=f（u）,x∈R^N,在H^1（R^N）中无穷多解的存在性,其中N≥3,V（x）是RN上的实值连续函数并且满足对（A）x∈R^N,V（z）≥V0＞0.     

解非定常不可压Navier-Stokes方程的压力修正投影法的并行算法研究

1．CNMTZ格式和压力Poisson、方程的快速解法为后面讨论的方便，本节中我们简要介绍一下［1，2］提出的求解上述方程的CNMTZ算法以及相应的压力Poisson方程的快速算法．考虑原始变量非定常不可压N—S方程（INSE）和满足方程（2的初始条件W（；队0），W在边界＊0上给定并满足这里，V＝（。，V厂是速度场，p是压力．方程（1）（2）进行空间离散后可以写成以下形式：其中力（W，t）包括动量方程中的对流项、扩散项和非齐次项的空间差分近似及相应的边界条件，G和D分别为梯度和散度算子的离散形式．它的CNMT格式的PC投影法如下：其…     

不可压混流驱动问题的最小二乘混合元方法

1引言考虑多孔介质中两相不可压缩可混溶渗流驱动问题,它是由一组非线性耦合的椭园型压力方程和抛物型浓度方程组成：dVV。—一山人V什）gVV却）一q,VEn,（．1）＆,,。＿．、。。—一。x）＿＋u·grade－dlv（D（u）grade）一（1－c）q－,xEn,tEJ,（1．2）＆”－－’”””‘”－”””——－’——,、—’一其中a（）一a（x,c）一是（x）／卢（c）,J一［0,Ti,DcyR‘为水平油藏区域．方程式（1．l）一（1．2）中各物理量的意义如下：广为流体压力,c为流体的浓度,u为流体的Darer速度,叶为源汇项,／一—。x（q,O）,…     

一类多目标规划的同伦方法

1．引言考虑下述多目标规划问题：其中F（x）一（fi（x），人（x），…，人（x》”，人（x）（j—1，2，…，m）EC’，g；（x）（i—l，2，…，P）EC’，X6R“对于问题（P；），若考虑在最不利的情况下找出一个最有利的方案，依据「l〕，可转化为求下述问题（P。）：其中U（F（x》一max人（x））且有：引理1［‘］问题（P。）的最优解为问题（P；）的弱最优解．显然，问题（P。）等价于下述问题（P。）［‘］：则问题（P。）等价于下列问题（P．）：2．同伦方法的建立由【3j知，相应于（P。）的Kuhn－Tucker方程：其中Y一dia－（－…     

具有批到达的滞后排队系统分析

本文考虑一个基本模型的M^[x]/G^[r]/1/∞的排队系统，引入了(r,N）－策略（也称为滞后系统），首先分析了嵌入马氏链{Qn,n∈N}的平稳分布，得到其概率母函数Ｐ(z)，再利用半再生过程理论得到原系统的稳态队长分布的概率母函数π（ｚ）。     

服从幂律的拟牛顿流动稳定化有限元方法

1．引言考虑在R”（N＝2,3）上一个有界单连通域0内的某种流动,该区域具有LIPschitzian边界F．设fEL‘（fi）”,正的函数nEC（0,一,我们讨论下面的边值问题：（P）求（。,P）;使得上述模型反映了定常不可压流体的流动,非线性惯性项已被忽略,f为体力,。为速度,P为压力,P为流体的粘性函数．对于符合幂律（Power－law）的拟牛顿型流动来说,这里幂律指数r＞1为一常数．众所周知,有着较低分子量的物质（如水,空气等）的流动可用Navier－Stokes方程描述,而有较高分子量的物质（如生物流体,润滑剂,涂料,高聚物溶液）的流…     

含有溶质的流体在两层多孔介质中的渗流问题

本文讨论含有溶质的流体在两层多孔介质中的渗流问题，即（θ（x，U）t=（K（x，U）Ux-K（x，U））x，（x，t）∈GT，（θ（x，U）V（x，t）t=（DθVx）x-（V（KUx-K））x，（x，t）∈GT，U（x，0）=U0（x），V（x，0）=V0（x），0≤x≤2，U（0，t）-h0（t），U（2，t）=h2（t），0≤t≤T，V（0，t）=g0（t），V（2，t）=g2（t），0≤t≤T。其中θ（x,U)=θ1(x,U)，当（x,t)∈D1=｛0≤x≤1,0≤t≤T｝；θ（x,U)=θ2(x,U)当（x,t）∈D2＋1｛1＜x≤2，0≤t≤T｝。K（x,U)=K1(x,U)当（x,t)∈D1;K(x,U)=K2(x,U)，当(x,t)∈D2。θi，Ki分别是Di上的介质含水率及水力传导率，V是溶质的浓度，此外还要求U，V，K（x,U)(Ux-1)及DθVx V(KUx-K)在x=1连续。     

复Schr(o)dinger场和实Klein-Gordon场相互作用下一类方程组守恒差分格式的收敛性和稳定性

１引言关于Ｚａｋｈａｒｏｖ方程各种定解问题的讨论,近年来已发表了许多的文献［１－５］,很明显,这是复非线性Schrod-inger（NLS）方程和实非线性波动方程耦合的一类方程组．文献［６］考察了复ＮＬＳ方程和实非线性Ｋｌｅｉｎ－Ｇｏｒｄｏｎ（Ｇ－Ｋ）方程耦合的一类方程组的各种定解问题,其中φ（ｘ,ｔ）是复值函数,ｕ（ｘ,ｔ）是实值函数,ｆ（ｓ）∈（－∞,∞）,μ,ｇ,ｍ均为正常数,ｉ２＝－１．文中证明了整体解的存在性、唯一性和存在如下两个守恒律其中Ｆ（ｓ）＝ｆ（ｚ）ｄｚ,Ｅ００,Ｅ０１均为仅与初始条件有关…     

构造方程 出奇制胜

在解析几何中，有一类问题若采用构造方程法求解，规律明显，方法巧妙，事半功倍．一般地，此类题有下面两个特征：题目的图形特征：两点失第三点；1．描述第三点的量为系数；构造的方程特征2.描述两点的两个量为根．例1过圆（x-a）2＋（y—b）2=r2（r＞0）外一点P（x0，y0）作圆的切线PA、PB，A、B为切点，求切点弦AB所在的直线方程．解题目的图形特征：两点人B夹第三点P．如图1所示．设A（X1，y1），B（Bx2，y2），则过A点的切线PA的方程为：（x1-a）（x-a） （y1-b）（y—b）=r2，即（x—a）x1 （y-b）y1=a（x—a）＋b（y—b）＋…     

关于2R（w2R）范数的一个注记

证明了自反Banach空间X上的等价w2R范数全体构成一个剩余集;同时证明了X闭子空间上等价的w2R范数均可延拓为X上等价的w2R范数.特别地,当X是可分时,上述w2R范数可替换为2R范数.     

水污染问题特征有限元方法的数值计算及理论分析

本文研究了水污染二维对流占优数学模型特征有限元方法的计算问题，导出的计算格式对时间变量用特征线方法离散，对空间变量用Galerkin有限元方法离散，得到的H^1－模和L^2－模误差估计是最优阶的。     

On two epireflective subcategories of the category of 2T 0-fuzzy bitopological spaces

In the space of absolutely summable sequences the total variation of a sequence becomes a natural norm, and is a measure of smoothness. This norm is preserved by the so-called LU LU-smoothers, in that the variation of the image plus the variation of the difference is equal to the variation of the original sequence. This surprising property is useful for strategies for the removal of impulsive and other random noise. Strong shape preserving properties of these smoothers are derived in the process of proving this. The results shed light on similar properties of the popular median smoothers, as well as their sometimes enigmatic behaviour.     

Theory and Application of Characteristic Finite Element Domain Decomposition Procedures for Coupled System of Dynamics of Fluids in Porous Media

For a coupled system of multiplayer dynamics of fluids in porous media,the characteristic finiteelement domain decomposition procedures applicable to parallel arithmetic are put forward.Techniques suchas calculus of variations,domain decomposition,characteristic method,negative norm estimate,energy methodand the theory of prior estimates are adopted.Optimal order estimates in L~2 norm are derived for the error inthe approximate solution.     

Analysis of some finite difference schemes for two‐dimensional Ginzburg‐Landau equation

We study the rate of convergence of some finite difference schemes to solve the two‐dimensional Ginzburg‐Landau equation. Avoiding the difficulty in estimating the numerical solutions in uniform norm, we prove that all the schemes are of the second‐order convergence in L₂ norm by an induction argument. The unique solvability, stability, and an iterative algorithm are also discussed. A numerical example shows the correction of the theoretical analysis.© 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1340‐1363, 2011     

Does ignorance promote norm compliance?

A large extent of undetected norm violations may have positive effects for society. If many norm violations are hidden, society seems to be in good order so that actors are more willing to comply with the norms themselves. In this sense, ignorance promotes norm compliance. We challenge this view by arguing that in scenarios, in which norms are controlled and enforced by third parties who receive rewards for their success, the opposite is true: Ignorance promotes norm violations. The reason is that unsuspicious inspectors who believe that little hidden norm violations are committed will spend less effort for detection, some formerly detected norm violations will go undetected, norm targets will be less deterred from the lower detection probability and will commit more norm violations over time. This article develops a respective mathematical model and confirms the above described intuition.     

Time Decay Rates of the isotropic Non-Newtonian Flows in R^n

This paper is concerned with time decay rates for weak solutions to a class system of isotropicincompressible non-Newtonian fluid motion in R~n.With the use of the spectral decomposition methods ofStokes operator,the optimal decay estimates of weak solutions in L~2 norm are derived under the differentconditions on the initial velocity.Moreover,the error estimates of the difference between non-Newtonian flowand Navier-Stokes flow are also investigated.     

The modified method of characteristics with mixed finite element domain decomposition procedures for the transient behavior of a semiconductor device

For the transient behavior of a semiconductor device, the modified method of characteristics with mixed finite element domain decomposition procedures applicable to parallel arithmetic is put forward. The electric potential equation is described by the mixed finite element method, and the electric, hole concentration and heat conduction equations are treated by the modified method of characteristics finite element domain decomposition methods. Some techniques, such as calculus of variations, domain decomposition, characteristic method, energy method, negative norm estimate and prior estimates and techniques are employed. Optimal order estimates in L² norm are derived for the error in the approximation solution. Thus the well‐known theoretical problem has been thoroughly and completely solved.© 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 353–368 2012     

亚正定矩阵的加权广义范数及其性质

给出关于亚正定矩阵的加权广义范数的定义,它是椭圆范数和Frobenius范数的推广;给出加权广义范数与Frobenius范数的一个不等式关系;研究在特殊情形下加权广义范数的一些简单性质.     

Uniform Gateaux differentiability and weak uniform rotundity of Musielak–Orlicz function spaces

Criteria for uniform Gateaux differentiability and weak uniform rotundity of Musielak–Orlicz function spaces equipped with the Orlicz norm as well as the Luxemburg norm are presented. Interpretations of the criteria in the case of Orlicz spaces are given. It is worth noticing that criteria for the Luxemburg norm are different than for the Orlicz norm.