扩散性的

The authors investigated the singular limits of stiff relaxation and dominant diffusion for general 2×2nonlinear systems of balance laws, that is,τ=o,ε→ 0, the relaxation time τtends to zero faster than the diffusion parameter ε. If there exists a priori L∞ bound that is uniformly with respect to ε for the solutionsof a system, then the solution sequence converges to the corresponding equilibrium solution of the system.

研究一般扩散占优的2×2双曲平衡律系统奇异松弛极限，用补偿紧性方法，在松弛时间τ比扩散系数ε趋于零快时，即τ=o，ε→ 0时，得到其解的整体存在性一般框架：如果上述系统的解存在对ε一致的先验L∞估计，则其解序列收敛于上述系统的对应平衡状态解。

Describe the pollution simulation model; propose the decomposition principle which is independence between atom model and application, convenience of dynamic composition according to structure of pollution spreading simulation service. The basic idea is that decompensate the entire model, package the every sub model into grid service and deploy it into grid node.

从海上溢漏污染扩散模拟模型体系的构成出发，首先进行污染模拟模型的描述，提出了基本原子模型与实际应用的无关性、动态组合的方便性的模型体系分解原则，以及具体实现的思路；将整个海上溢漏污染扩散模拟模型体系进行分解，进行网格化封装与部署，形成独立的网格服务。

Solubility and diffusivity are two key factors in the description of mass transport.

溶解性和扩散性是描述溶剂在高分子中传质现象的两个关键因素。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

These accidents will harm the people's life and property safety. After gas has leaked, it will diffuse along the earth's surface with the effect of exterior wind power and interior thickness grads.

由于气体本身存在的扩散性，发生泄漏之后，在外部风力和内部浓度梯度的作用下，气体会沿地表面扩散，在事故现场形成毒害或燃烧爆炸危险区，扩大危害区域。

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

This is 1 the firstsharp uniform convergence result for linear transport equations in di?usive regime, aproblem that involves both transport and di?usive scales; and 2 the first uniform con-vergence valid up to the boundary even if the boundary layers exist.

这是对线性输运方程已知的第一个在扩散域中和输运扩散同时存在时具有高阶一致收敛性的算法，同时也是第一个一致收敛性在边界层也成立的算法。

The SCVFV(the convection-diffusion difference scheme based on control-volume face values) scheme was put forward. The theory of the SCVFV scheme was systematically elaborated. The general interpolation formula of the SCVFV scheme was given. The formulas of the SCVFV scheme based on the Cartesian coordinate were derived. The precision, the mass conservation property and the preventability of the false-diffusion of the SCVFV scheme were theoretically analyzed.

提出了基于控制容积面值的对流扩散差分格式SCVFV，系统地阐述了SCVFV格式的基本思想，给出了SCVFV插值公式的通用表达式，推导了直角坐标系下完整的SCVFV格式的表达式，从理论上分析SCVFV格式的精度、守恒性及反伪扩散性。

A method using a tiny thermistor as heat transfer model was developed to measure thermophysical properties (thermal conductivity and thermal diffusivity) of three standand samples(ethanol, ethylene alcohol, solution of calcium chloride). Results showed that there was no significant difference between measurement and recommendation; results of thermal conductivity from thermistor method and heat probe method for carrot and potato samples showed no significant difference; results of thermal diffusivity between thermistor method and calculation for carrot and potato samples showed no significant difference.

在分析微珠状热敏电阻传热模型的基础上，在室温对标准样品（乙二醇、乙醇、氯化钙的水溶液）的热物性进行测定，结果显示，导热系数及热扩散系数的测量值与推荐值之间无显著性差异（p＞0.05）；热敏电阻法与热探针法对比测定胡萝卜及马铃薯两种农产品的导热系数，结果显示两种方法之间无显著性差异（p＞0.05）；热敏电阻法与常规计算对比测定胡萝卜及马铃薯两种农产品的热扩散系数，结果显示两种方法之间无显著性差异（p＞0.05）。

Excitation functions of neutron, proton and α particle emission prior to scission measured in the reactions 28 Si+ 164,167,170 Er→ 192,195,198 Pb are studied using an extensive fission diffusion model and it is found that the model can well describe the trend of particle multiplicities of Pb isotopes measured experimentally as a function of the bombarding energy,which indicates the existence of isotope effects in prescission particle emission.

用推广的裂变扩散模型研究了2 8Si+16 4，16 7，170 Er→192 ，195，198Pb反应中测量的断前中子、质子和α粒子多重性的激发函数。发现扩散模型能很好地拟合这些轻粒子多重性随裂变系统激发能和Pb同位素的变化趋势。表明断前粒子发射存在一个同位素效应。进而在一个考虑了裂变过程中摩擦效应的统计模型的框架内，在In和Er这两个元素的同位素链中，考察了同位素效应与裂变碎片质量不对称性和裂变系统尺度的关系。计算结果表明：同位素效应的存在不依赖于裂变系统的大小和不对称性。此外，当裂变系统具有高的中质比时，轻带电粒子发射将不再敏感于裂变延迟时间的长短，而中子发射则非常敏感。

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