查询词典 evolution equation

Then, integrating the damage evolution equation by means of variable separation method, an integral expression of stresslife relation can be established.

利用分离变量方法对损伤演化方程积分，得到构件的应力与寿命关系的积分表达式。

Under certain conditions found in quantum mechanics to return to the law of unitary evolution, after a suitable transformation, is given a complete transformation of the Lorentz equation, that is, given the special theory of relativity, that is, given the geometry!

发现在一定条件下回到量子力学幺正演化定律，在经过合适的变换，给出了完整的Lorentz变换方程，也就是给出了狭义相对论，也就是给出了几何！

According to the nonlinear oscillation theory and the obtained equation, the nonlinear characteristics and evolution law of Kunming precipitation anomaly system were studied.

根据非线性振荡理论和昆明地区的非线性振荡方程研究了昆明地区降水距平率系统演变的非线性特征及其演变规律。

Based on modern optimization theory and optimal control theory, this dissertation studies some questions as follows:1. The optimization model of parameter identification of three-dimensional geologic history numerical simulation, algorithm and its applicationGeologic history numerical simulation is a basic content of basin numerical simulation, and the porosity is the major parameter in the evolution and development process of oil-bearing basin. According to the sedimentation and burial mechanism, the physical and chemical principles of oil geology, the mudstone porositys non-linear parabolic partial differential equation has been established.

本文应用现代最优化及最优控制理论，对如下一些问题进行了研究： 1、三维地史数值模拟的参数辨识优化模型、算法及应用地史模拟是盆地数值模拟的一个基础性的研究内容，地层孔隙度是含油气盆地地史演化发育过程中的重要参数，根据地层沉积埋藏机理和石油地质的物理化学原理，通过引入数学物理方程概念，建立了泥岩三维孔隙度场方程，根据问题的特点，给出了方程的定解条件，对方程的动边界也给出了处理方法，并且证明了解的存在性与惟一性，在此基础上建立了以当今实测数据为拟合准则的三维地史数值模拟的参数辨识优化模型，这是一个含有二阶偏微分方程约束的泛函极值问题。

The Adaptive Genetic Alg orithm is introduced on the basis of the course of genetic evolution. The method is applied to work out the Riccati Equation.

在分析遗传进化过程的基础上，提出了一种自适应遗传算法，应用于求解黎卡提方程。

The solution of the diffusion equation can be used to simulate the evolution of some kinds of scarp slopes.

：扩散方程可以用来模拟某些坡地演化形态。

Using the pulse in the shape of sech 2, the approximate solution has been obtained and compared with the numerical simulation of evolution equation.

在此基础上给出了双曲正割型输入脉冲在介质中的传输特性，得到了近似解析解，并与直接演化高阶非线性薛定谔方程作了比较。

The following are the major work in this thesis which has been studied and still needs to be studied further in the future: 1 An improved adjoint variational method is developed, thus it can be applied to the LAGFD-WAM Wave Numerical Model for data assimilation; 2 A linear evolution equation of spectral perturbation is derived in order to analyze its increasing or decreasing mechanism.

本论文主要完成了以下几个方面的研究： 1）建立了推广形式的共轭变分同化方法，使之能够应用于LAGFD-WAM海浪数值模式； 2）导出了扰动谱线性演化方程，分析了扰动谱增长、衰减机制，考察了涌浪情况下扰动谱的持续时效问题及风浪情况下扰动的演变过程； 3）利用波谱共轭方程初步分析了同化模型中距离泛函的敏感性及敏感区域空间分布； 4）将推广的共轭变分方法应用于海浪谱能量平衡方程，建立了连续形式的海浪同化模型，特别是严格导出了风输入、破碎、底摩擦、波波非线性相互作用和波流相互作用各源函数的共轭源函数表示式； 5）分别进行了波谱层次上和有效波高层次上的同化试验，并对数值结果进行了分析。

By the numerical simulations of the free surface velocity histories and based on the best consistence between the computational results and the experimental ones, the material parameters in the damage evolution equation and the spoliation criterion are obtained.

通过自由面速度历史的数值模拟，并基于计算结果与试验结果间的最佳一致性，得到了损伤演化方程和层裂准则中的材料参数。

Moreover,the stochastic differential equation of seepage boundary is proposed and the mechanism of seepage evolution is analyzed.

建立了渗流边界的随机微分方程，揭示了渗流边界形貌的演化机理。

Core, self psychology is psychoanalytic, but there are crucial differences in how the patient-therapist relationship is viewed.

自体心理学的核心是精神分析，但在如何看待患者-治疗师关系方面，自体心理学和精神分析有着根本性的不同。

High-performance cars brake drum production costs increase less than 10%.

高性能汽车刹车鼓的生产成本增加小于10％。