查询词典 parabolic partial differential equation

Nigel Goldenfeld, shows how scaling ideas and RG concepts may be applied not only to continuous phase transitions, such as ferromagnetism to paramagnetism, but also to far from equilibrium phenomena, such as nonlinear diffusion in fluid dynamics, which can be described by the classical partial differential equations.

Goldenfeld指出标度和重整化群的概念不仅仅可以应用到一些我们熟知的现象上面，如铁磁到顺磁的相变，而且可以应用到远离平衡态的现象，这些现象是可以用经典的偏微分方程来描述的，例如流体的非线性扩散。

In this paper, in cognizance of the lack of accuracy of the calculation results in the current method of seismic analysis for the frame structures, the paper is searching for a new approach, using continuous models and through the establishment of the partial differential equations to carry on the dynamic analysis of the fiame structures, the limited units will be expanded to the unlimited units, each component as a continuous unit to deal with without the need of further subdivision, making the structure of dynamic behavior closer to the actual behavior and to improve the accuracy of the results.

本文针对当前框架结构抗震分析的动力时程法计算结果不精确的不足，寻求一种采用连续模型并通过建立偏微分方程来对框架结构进行动力分析的新方法，把每个构件作为一个连续单元来处理而不需要再细分，使得结构的动力行为与实际更为接近，从而提高计算结果的精度。

For first-order linear DPS with spatial-varying coefficient matrices a method is presented to approximate the system piecewisely by N partial differential equations with constant coefficient matrices.

它包括两大部分，一是关于分布参数系统的频率域数学描述即传递函数这一基本问题的应用研究，二是关于一类用多滞后型传递函数表示的分布系统的控制设计问题。

In this outlook of this dissertation, the primary idea is to extend the Helmholtz"s theorem to get the complete projection theorem of electromagnetic fields in vector wave space—the extend of the Helmholtz"s theorem which can be used to study the eigenvalue problem of the vector partial differential operator.

在论文的展望中，将亥姆霍兹定理进行推广，得到了电磁场在矢量波空间的完全射影定理即推广的亥姆霍兹定理，由此可以研究基于矢量偏微分算子的电磁场的本征问题。

Firstly, from the functional analysis, the eigenfunction series of vectorial partial differential operator is studied. The property of complete space is gotten. And this result is extended to the eigenfunction of Maxwells equations.

本文首先从泛函分析的方法出发，研究了矢量偏微分算子本征函数系的性质，得到了矢量偏微分算子正交完备归一化本征函数的存在证明，研究了Maxwell方程组的情况，证明了电磁场在均匀和非均匀介质条件下的正交本征函数系的完备性质。

Electromagnetic theory ; Vector wave function space ; Vector partial differential operator ; helmholtz

电磁场理论；矢量波函数空间；矢量偏微分算子；亥姆赫兹定理

In addition, we construct an example in partial differential equations.

最后给出一个在偏微分方程中的例子。

In Chapter 1, we summarize the known numerical methods for solving the partial differential equations.

其中，第一章简单介绍已知的解偏微分方程的数值方法。

This program is written in Matlab on partial differential equations procedures a good procedure!

本程序是用matlab写的关于偏微分方程的程序很好的一个程序！

It is a new research field to use partial differential equations in image processing.

将偏微分方程用于图像处理是一个崭新的领域。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。