扩散

The results show that the increasing Marangoni number will lead to more nonlinear distribution of temperature field, but streamfunction of the cell center; vorticity on the wall and peak value of velocity diminish first, then increase, finally lose stability. The thermocapillary convection in the whole liquid zone appears to get stronger along with the augmentation of Prantal number. The effect of increasing of Biot number on temperature and flow fields is not obvious although the convection is strengthened a little. As increasing the aspect ratio A, thermocapillary convection induced by temperature gradient and liquid viscosity becomes stronger.

结果表明：温度场的非线性分布随着Ma数的增大而加剧，但对流涡胞中心流函数、壁面涡量和轴向、径向速度峰值并不象温度场随着Ma数的增大而单调增大，而是先减小，然后增大，最后失稳，表明Ma数对热毛细对流的影响比较复杂，针对不同的物理模型，会导致完全不同的流态；Pr数愈大，流体的热扩散能力在粘性扩散与热扩散能力之比中愈占支配地位，当Ma数一定时，热毛细对流随Pr数的增大在整个液体区域内有增强的趋势；Bi数增大，热毛细对流有所增强，但不甚明显；A的增大使得由温度梯度和流体粘性诱导的热毛细对流随之增强。

It is a generalization of the nonlinear diffusion equation proposed by Perona-Malik and the method presented by Cuesta, and interpolates between the nonlinear parabolic equation and the nonlinear hyperbolic equation, thus can effectively control the diffusion process so that noises can be removed and details of the image such as edges can be preserved as much as possible simultaneously.

提出了一种包含对时间的分数阶导数的非线性扩散方程，它是对Perona-Malik的非线性扩散方程和Cuesta提出的方程的推广，介于非线性抛物方程和非线性双曲方程之间，从而能有效地控制扩散过程，使得在去除图像噪声的同时能够尽可能地保留图像的边缘等细节信息。

Therefore, this paper puts the angle of view on the innovation process of the financial product and its diffuse, then analyzes and adjudicates the financial product innovations' fist-mover advantages models and other innovation diffuse models in detail, the purpose of that is to indicate the financial angle of view of product innovation is also a dynamic process of development, adoption and diffuseness, among them, the competitors are interactive, this characteristic works with decisive influence on the innovation process of the financial product.

因此，本文将视角转向了更为微观的金融产品创新过程及其扩散，详尽分析并评判了金融产品创新的先动优势模型及其他创新扩散模型，目的在于说明金融学视角下的产品创新也是一个发展、采纳和扩散的动态过程，其中竞争者之间是互动的，这一特征对金融产品的创新过程起着关键性影响。

In HgCdTe with low dislocation density, the main component is a Guassian like distribution and can be described by the Fick's law with a constant diffusion coefficient with a limited source as the boundary condition.

在缺陷密度比较低的碲镉汞材料中，砷扩散的主体符合恒定扩散系数的有限源扩散模型，呈现出浓度随深度的高斯分布。

Bonded joint was obtained by diffusion bonding at constant temperature and pressure, phase transformation superplastic diffusion bonding and diffusion bonding under pulsatile pressure. The strength of welding joint was tested and metallography of welding joint was observed.

采用恒温恒压扩散焊、相变超塑性扩散焊和脉冲加压扩散焊实现了钛合金和不锈钢的焊接，测试了焊接接头的强度，并对接头进行了金相观察。

Based on the point that directed diffusion equation is a diffusion process with direction, the correlation between directed diffusion and wavelet transform is studied in this paper.

摘要方向扩散方程是一种有方向性的扩散，本文基于这一特点，对方向扩散方程与小波分解和重构的相关性作了研究。

In this paper, the diffusion process of technological innovations is studied from a systematic viewpoint.

论文以系统论的观点看待技术创新扩散过程，全面分析了技术创新扩散系统的各个要素以及可能影响创新扩散的主要障碍因素，并讨论了相应的政策选择。

The equation is solved by the dimensional analysis method, and the expression of gas leakage concentration in soil is deducted.

通过量纲分析的方法对扩散方程求解，得到了燃气在土壤中的泄漏扩散浓度表达式，通过实例计算分析得出了燃气在土壤中的泄漏扩散规律。

Finally, we give some examples.In Chapter 3, The existence of a bounded global attactor for Olmstead model with homogeneous Dirichlet boundary condition is proved under some condition on the parameters.

本章分四个部分，第一部分是对问题的概述；第二部分讨论了扩散系数对具有无穷时滞的一维竞争扩散系统的空间一致定态解的稳定性的影响，将扩散系数d作为分支参数，我们证明了从d_0处当d

Initial boundary value problem of two dimensional unsteady diffusion equations is solved in this paper. By using time-dependent fundamental solution of two dimensional diffusion equations and the extension of double layer potential, we establish virtual boundary integral expression of diffusion equations. Then virtual boundary element method is used to implement the numerical computation.

本文在求解二维非定常扩散方程的初边值问题时，利用二维扩散方程与时间有关的基本解，基于双层位势的延拓，建立二维扩散方程的虚边界积分表达式，然后利用虚边界元法进行数值计算。

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