查询词典 diffusion equation

This paper developed Feynman-Kac theorem in connection with multidimensional Poisson jump-diffusion stochastic differential equation.

在随机分析学中，Feynman-Kac公式是联系概率论与偏微分方程的桥梁。

In this paper, a new numerical method, the coupling method of spherical harmonic function spectral and streamline diffusion finite element method for unsteady Boltzmann equation in the neutron logging field is discussed, and the convegrence and error estimations of this scheme are proved.

针对中子测井问题，研究非定常Boltamann中子输运方程的确定型数值求解方法，给出了求解Boltzmann方程的球谐函数展开和流线扩散有限元耦合方法，证明了这种耦合方法的收敛性和误差估计·实际算例表明此方法是有效

Perona and Malik developed a non-linear anisotropic diffusion model based on the equation of thermal transmission which opens a new field for research and the application of image processing.

Perona和Malik在1990年提出了基于热传导方程的非线性异向扩散模型，奠定了PDE模型用于图像处理的理论基础，开辟了一个图像处理应用研究的新领域。

On the basis of the above, the reactive kinetics has been theoretically analyzed on the diffusion mechanism, and a intrinsic reaction synthesis TiC〓 rate equation has been obtained.

在此基础上，采用扩散机制对TiC〓反应生成动力学进行了理论分析，获得了反应生成TiC〓的动力学特征方程。

According to Markovian theory and Langevin equation with random ambulate in concern simulated the excursion and diffusion of oil.

采用马尔科夫随机理论建立分析污染物粒子的运动过程，即通过Langevin方程追踪质点求得油膜的漂移扩散过程中考虑了油膜扩散随机数的影响。

Through a time correlation analysis of spontaneous intensity fluctuations,this technique in conjunction with EGFP as a probe is capable of determining nucleoplasmic viscosity in terms of Stokes-Einstein equation as well as its corresponding analysis of the diffusion coefficient for EGFP in the nucleus.

研究中利用FCS技术测定绿荧光蛋白分子在细胞核内的扩散系数，并且根据Stokes-Einstein关系式计算出核浆粘滞系数，同时实现了对特定生理条件下核浆粘滞系数的跟踪测量。

Heat equation is the most typical one of parabolical equations, which describes many physical-phenomenas,such as conduction,diffusion .etc.

如描述热传导、扩散等物理现象的热传导方程就是最典型的抛物型方程。

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。

Dissolution process of a-TCP cement hardened body accords with the kinetic model equation: y =-ln =kt05 , its activation energy is 9.87 kJ/mol, which means dissolution is diffusion control. The dissolution mechanism of a-TCP cement may be considered as dissolution and reprecipitation of defective calcium hydroxy- apatite hydrated from a-TCP.

含有TTCH的a一TCP骨水泥固化体在生理盐水中的溶解动力学方程为：y二一In(1一x)=kto.4；溶解过程为扩散控制；其中含l%TTCH的骨水泥溶解反应活化能约为7.17kJ/mol，随着药物含量的增加，骨水泥固化体的溶解速率常数下降。

Seventhly, we sets up the reaction-diffusion equations about population-resource relationships; Further more, we analyzes these typical conceptual models making use of differential equation theory. The conclusion shows that human with natural environment co-exist conditions when human-environment is conflicting, mutual, predacious, harmonious. The relation both human and environment has to harmonious each other for the population-resource benefit maximum.

在连续时间条件的假设下给出了关于人口与农业生态资源的具有代表性的几种反应扩散方程形式；根据微分方程定性理论，对所建立的几种模型进行分析研究，得出当人类与生态环境处于冲突、互助、掠夺与和谐状态时，双方能长久共存的稳定条件，并得出只有在人口与资源和谐共处的情况下，才能使环境承载力及人类总数达到最大化的结论。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失