导出方程

The first chapter gives the summary of basic theories of EOS for solids, including often-used thermodynamic theories and phenomenological expressions during the study progress of EOS along with the finite strain theory. Furthermore, from the view of solid-state theory the general expression of EOS of solids P =Pc+Pn is given, and the microcosmic mechanism of compression for solids, i.e., the interactive potential energy between atomics, is also analyzed, subsequently several different forms of cold energies and pressures are derived.

第一章，给出了物态方程的基本理论概要，总结了EOS研究中最常用的热力学理论和唯象关系式以及有限应变理论，并从固体理论角度给出了固体物态方程的一般形式P =Pc+Pn，分析了固体压缩的微观机理——原子间相互作用势，由此导出了几种不同形式的冷能和冷压。

The control volume integration was applied to deduce the discrete expressions of the convection-diffusion equations. The staggered grid and SIMPLE algorithm were introduced to deal with coupling between pressure and velocity, and then the numerical computation expressions of such variables as fluid flow velocity and pressure were deduced. Using the backward difference method and incremental theory to discretize the governing equations for fields of chemical reaction, material structure and chemorheology, the numerical computation expressions of variables such as the monomer conversion, average molecular weight and fluid viscosity were constructed.

应用控制容积积分法导出了对流—扩散方程的离散表达式，引入交错网格技术与SIMPLE算法，实现了耦合的压力场与速度场的分离式求解，推导得到了流体的流动速度、压力等物理量的数值计算式；采用向后差分方法和增量方法，实现了化学反应场、材料结构场、化学流变场控制方程的离散，获得了反应转化率、聚合物平均相对分子质量、流体黏度等物理量的数值计算式。

Control equation, boundary condition and Bernoulli equation are derived in blade-attached system.

在匹配渐近展开法分析中引入一假想速度位，导出固连坐标系中的控制方程、边界条件和Bernoulli方程。

Extending the model to binary compound, an equation of state for double-component phospholipid monolayers was derived.

将上述状态方程推广到二元混合物，导出了双组分磷脂单分子膜的状态方程模型。

The stable wave-field propagators of one-way wave equation for Born and Rytov approximations are derived by using the local Born and local Rytov approximation methods in the scatter theory of wave-field propagation, and their application effects in prestack depth migration imaging of wave equation are compared theor...

利用波场传播散射理论中的局部Born近似和局部Rytov近似，分别导出了单程波方程的稳定的Born近似波场传播算子和稳定的Rytov近似波场传播算子，然后从理论和实践上比较了它们在地震数据波动方程叠前深度偏移成像中的应用效果。

The brachistochrone of an electric ball in the electromechanical coupling field was investigated according to variational method,and the corresponding governing equation(Euler-Lagrange equation) was derived.

通过变分原理的方法研究力电耦合场中带电小球的最速降线问题，导出其轨迹控制方程，即Euler-Lagrange方程。

The principle of minimum potential energy was used to derive the governing differential equation and corresponding boundary conditions.

分析了压杆屈曲时的几何变形条件，导出了压杆的曲率、变形能和各项外力势的表达式，用最小势能原理导出压杆失稳的微分方程和边界条件。

Two new eigenvalue problems and corresponding soliton hierarchies are derived, in which two typical equations are the generalized coupled Korteweg-de Vries and the generalized equations.

我们着重对两个新的保谱问题导出与之相联系的两族新的孤子方程，其中典型的是新的广义耦合KdV方程和新的广义TD方程。

The transmission of heat differential equation for the heat conduction process of thermoelectric module was derived And the solution with the first kind boundary conditions under the influence of Thomson effect and the solution with the third kind boundary conditions without the influence of Thomson effect was obtained.

导出了电偶臂在电与热的偶合作用下传热微分方程，并对其进行解析求解：在考虑汤姆逊效应的影响下得出一类跟三类边界条件下传热方程的解析解，在忽略汤姆逊效应的影响下得出二类跟三类相的边界条件下传热方程的解析解。

The transmission of heat differential equation for the heat conduction process of thermoelectric module was derived And the solution with the first kind boundary conditions under the influence of Thomson effect and the solution with the third kind boundary conditions without the influence of Thomson effect was obtained.

在假设热电制冷的热端温度固定的条件下，得出热电制冷器在不同工况下的最佳工作参数并进一步求得在三类边界条件下的最佳工作参数；导出了电偶臂在电与热的偶合作用下传热微分方程，并对其进行解析求解：在考虑汤姆逊效应的影响下得出一类跟三类边界条件下传热方程的解析解，在忽略汤姆逊效应的影响下得出二类跟三类相的边界条件下传热方程的解析解。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。