一维微分方程

The impact of capillary pressure on twophase flow in waterwettish reservoir is studied. The one dimensional control differential equation is derived,and solved by numerical limited difference method.

首先建立一维渗流模型和相应的渗流微分控制方程，用数值差分的方法进行求解，并绘制产量图和采出程度图，分析启动压力梯度和毛管力对水驱油效果的影响。

The heat transfer in ladle wall is described with non-steady differential difference equations under one-dimension cylindrical coordinates and rectangular coordinates.

其中包壁的传热分别采用圆柱坐标和直角坐标下的一维非稳态导热微分方程及其初始条件和第三类边界条件来描述，用有限差分法求解。

Under the assumption that a differential Riccati equation is solvable, an exponential reduced-order observer is developed by means of coordinate transformation and the gain matrix of the proposed observer depends on the solution of the differential equation.

在一微分Riccati方程有正定解的前提下，通过坐标变换方法对该类系统提出了一种指数型降维观测器设计方法，该观测器的增益矩阵取决于微分Riccati方程的正定解。

It gives a decent example for the angular value distribution theory and value distribution theory on p-adic field, n-dimensional complex Euclidian space, and even on general manifold.

值分布论为复微分方程的研究提供了重要的方法，为多维复欧氏空间空间上，p-adic域上以及一般的复流形上的值分布理论提供了模板。

It is found thatthe fractal dimension D=1.25 corresponds to the lowest criticalcoupling constant αc=1.9,D=1.73 corresponds to the highest criticalratio of dielectric constants ηc=0.163,and when D≤1.145 bipolaronscan not exist at any rate.In chap,4,we will propose a novelapproach to the calculation of the exciton ground-state energy for thestrong-coupling case.Different from all previous methods,the wavefunction of the phonon part is assumed to take a form related to thewave function of the relative motion.We obtain the exciton energy bysolving the derived integrodifferential equation rather than select ahydrogen-like form to minimize the energy expectation.

结果发现，分数维的维数D＝1.25对应最小的临界的电-声耦合常数(αo＝1.9)，D＝1.73对应最大的临界的介电常数比(ηc＝0.163)，当分数维的维数D≤1.145时，双极化子无论如何也不可能存在，在第四章中，我们将提出一种新颖的变分方法来计算强耦合的激子-声子系统的基态能，不同于以前所有的方法，我们取声子的波函数与相对运动波函数有关的形式，而不是假定一个固定的关于相对运动坐标r的函数形式，得到相对运动波函数所满足的非线性的微分积分方程，我们数值求解这个微分积分方程得到系统基态能，而不是选择一个类氢原子的波函数变分使得能量的期待值最小。

A set of quadruply coupled equations (fluid flow, convection-diffusion, energy conservation and mechanical equilibrium) with a number of cross-couplings and coupled constitutive relations is formulated to quantify the multi-physics of oil displacement by CO2 injection, implemented into and solved by using FEMLAB. FEMLAB is the first engineering tool that performs equation-based multi-physics modeling in an interactive environment. With FEMLAB, the coupled multi-physics model can be solved simultaneously. The applicability of this model has been demonstrated through an example of simulations for a two-dimensional reservoir of size 1000 m×1000 m with one injection and one production wells. Model results illustrate the significant importance of the cross-couplings between individual (thermal, hydrological, chemical and mechanical) physics.

首先，建立一套流、固、热、多相流等多场全耦合控制方程组及其相应的耦合本构关系；然后，采用FEMLAB为工具来模拟三次采油阶段CO2驱油过程中的流、固、热、物质守恒等多场之间的全耦合作用，是第一个人机交互式的基于偏微分方程组的多物理场耦合分析的工程工具，利用FEMLAB，该4个耦合方程组成的方程组可以一次同时被求解出来：最后，应用该模型来求解一个二维油田的驱油情况，数值计算结果表明，原位应力、注入温度、注入压力等因素对CO2的地下贮存效率、驱油速度等有重要影响。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。