我国产业区域转移粘性问题研究

根据产业梯度转移理论,高梯度地区产业会不断地向低梯度地区转移,但是我国处于高梯度的东部地区在经历了长达20余年的发展与繁荣之后,其边际产业并没有像理论界所预期的那样,向中西部地区的大规模转移,主要原因在于产业区域转移粘性的存在。产业区域转移粘性由劳动力成本因素、行政因素、产业集群效应、文化、技术与体制等因素形成,只有通过宏观政策、东部地区和中西部地区的共同努力,才能克服产业区域转移粘性,促进产业转移顺利进行。

不可压粘性流动问题的数值解法——一种改进的流函数涡量法

本文以解方形空腔中的不可压粘性循环流动问题为实例,提出了一种新的求解二元不可压粘性流动问题的数值解法。这种改进的流函数涡量法是对第一种迎风差分法经修正后得到的。同己有的很多方法相比,它不但精度高,而且放宽了对雷诺数的限制。在求解离散化后的代数方程组时、本文采用了多层网格法来加快解的收敛.文中对多层网格法亦作了简要介绍.最后给出了算例。

管制政策与现金红利的粘性研究——来自我国上市公司的经验证据

现金红利是以现金向股东支付的股利。本文选取2003~2015年上市公司样本,实证发现:现金红利的边际增加量在业绩上升时大于其在业绩下降时减少的幅度,中国上市公司现金红利存在显著的粘性特征。进一步研究发现:2008年分红标准提高管制政策前:国有控股的公司存在现金红利粘性但仅在10%的水平上显著;非国有控股的公司其现金红利不存在粘性。2008年分红标准提高管制政策后,国有及非国有控股的公司其现金红利均存在显著的粘性特征,且国有控股的公司现金红利粘性高于非国有控股的公司。本文不同于过去现金红利平滑性问题的研究,重点探究现金红利在公司净利润增减变化时的不对称变化问题,即粘性特征。本研究的贡献在于发现2008年分红标准提高管制政策是促使中国上市公司现金红利存在显著粘性特征的主要原因。

复杂区域上粘性/非粘性耦合方程的一个谱元方法

分析粘性 /非粘性耦合问题的一个谱元法 .通过基于谱元法的区域分解技巧 ,构造并分析了复杂区域中粘性 /非粘性耦合问题的一个高阶算法 .通过整体变分方法并借助推广了的Lax Milgram鞍点理论 ,证明了离散解的存在唯一性 .

平面库埃特流粘性发热问题的近似解

基于Adomian分解法构造不同的迭代形式来求解平面库埃特流粘性发热问题,不同的迭代形式,ε的取值不同时,近似解的精度不同,从而说明迭代形式的选取在Adomian方法中的重要性,同时表明Adomian分解法的灵活性及求解微分方程组边值问题的有效性.

Analytical Treatment of an Oldroyd 8-constant Fluid Between Coaxial Cylinders with Variable Viscosity

The flow of an Oldroyd 8-constant fluid between coaxial cylinders with variable viscosity is considered.The heat transfer analysis is also taken into account.An analytical solution of the non-linear problem is obtained usinghomotopy analysis method.The behavior of pertinent parameters is analyzed and depicted through graphs.

Viscoelastic Rod Vibration Problem when Constitutive Relationship Contains a Fractional Derivative and its Limiting Case

The equation of motion of a viscoelastic rod of density rod p is considered when the Constitutive Relationships contains fractional derivatives （in the Riemann-Liouville sense） of order β, 0 ≤ β ≤ 1. The solution of this equation is given in a general case. It is shown that for the limit values of the derivative index ,β, i.e. when β = 0 or β = 1, the general solution gives rise to classical solutions of hyperbolic and parabolic equations.

On the Rayleigh-Taylor Instability for Two Uniform Viscous Incompressible Flows

The authors study the Rayleigh-Taylor instability for two incompressible immiscible fluids with or without surface tension, evolving with a free interface in the presence of a uniform gravitational field in Eulerian coordinates. To deal with the free surface, instead of using the transformation to Lagrangian coordinates, the perturbed equations in Eulerian coordinates are transformed to an integral form and the two-fluid flow is formulated as a single-fluid flow in a fixed domain, thus offering an alternative approach to deal with the jump conditions at the free interface. First, the linearized problem around the steady state which describes a denser immiscible fluid lying above a light one with a free interface separating the two fluids, both fluids being in(unstable) equilibrium is analyzed. By a general method of studying a family of modes, the smooth(when restricted to each fluid domain) solutions to the linearized problem that grow exponentially fast in time in Sobolev spaces are constructed, thus leading to a global instability result for the linearized problem.Then, by using these pathological solutions, the global instability for the corresponding nonlinear problem in an appropriate sense is demonstrated.

Global classical solution to the three-dimensional isentropic compressible Navier-Stokes equations with general initial data

We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the isentropic compressible Navier-Stokes equations in the three space dimensions with general initial data which could be either vacuum or non-vacuum under the assumption that the viscosity coefficient μ is large enough.

Modeling crack in viscoelastic media using the extended finite element method

In this paper,the problem of modeling crack in 2D viscoelastic media is studied using the extended finite element method.The paper focuses on the definition of enrichment functions suitable for cracks assessment in viscoelastic media and the generalized domain integrals used in the determination of crack tip parameters.The opening mode and mixed mode solutions of crack tip fracture problems in viscoelastic media are also undertaken.The results obtained by the proposed method show good agreement with the analytical methods and provide reasonable background information to enhance the modeling of crack growth in viscoelastic media.

Applications of the Kinetic Formulation for Scalar Conservation Laws with a Zero-Flux Type Boundary Condition

The authors are concerned with a zero-flux type initial boundary value problem for scalar conservation laws.Firstly,a kinetic formulation of entropy solutions is established.Secondly,by using the kinetic formulation and kinetic techniques,the uniqueness of entropy solutions is obtained.Finally,the parabolic approximation is studied and an error estimate of order η 1/3 between the entropy solution and the viscous approximate solutions is established by using kinetic techniques,where η is the size of artificial viscosity.

The Zero Mach Number Limit of the Three-Dimensional Compressible Viscous Magnetohydrodynamic Equations

This paper is concerned with the zero Mach number limit of the three-dimension- al compressible viscous magnetohydrodynamic equations. More precisely, based on the local existence of the three-dimensional compressible viscous magnetohydrodynamic equa- tions, first the convergence-stability principle is established. Then it is shown that, when the Much number is sufficiently small, the periodic initial value problems of the equations have a unique smooth solution in the time interval, where the incompressible viscous mag- netohydrodynamic equations have a smooth solution. When the latter has a global smooth solution, the maximal existence time for the former tends to infinity as the Much number goes to zero. Moreover, the authors prove the convergence of smooth solutions of the equa- tions towards those of the incompressible viscous magnetohydrodynamic equations with a sharp convergence rate.