守恒

The research on numerical method for hyperbolic conservation laws is one of the important directions in computational mathematics.

中文摘要：双曲型守恒律方程数值方法的研究，是计算数学中的一个重要研究方向。

And many finite difference schemes have been widely used to solve hyperbolic conservation laws.

有限差分格式已经被广泛应用于守恒律方程的求解。

The key problem of the reaction chromatography is the initial-boundary value problem for hyperbolic conservation laws systems.

反应色谱的核心问题是双曲守恒律的初边值问题。

Based on the smoothed particle hydrodynamics model, we first establish a new pressure equation of state instead of traditional ideal gas equation of state.

基于平滑粒子流体动力学模型，首先提出一种压力状态方程以取代传统的理想气体状态方程，从而在保证系统稳定性的同时，最大程度地保证液体的体积守恒；为了实现对水面浪花飞溅和泡沫的模拟，提出自适应的表面张力模型，通过制定3类流体粒子状态的转化规则，实现了飞溅粒子和主水体之间的无缝连接；并采用GPU图形硬件加速技术大大地提高了整个过程计算效率。

To calculate the aerodynamic forces on the vehicle and grid-fins, we use time-dependent method to solve the Navier-Stokes equation of ideal gas, and flux conservational multizones method to divide the complex vehicle and grid-fins into eight computational zones which are relatively independent, and correlative with each other at once with satisfactory results.

为了计算作用在飞行器和栅格翼上的气动力，采用时间相关法数值求解完全气体的三维Navier－Stokes方程，并运用通量守恒的分区计算方法，将复杂的飞行器和栅格翼系统分解成八个既相对独立，又相互关联的计算区域，得到了满意的结果。

Besides the previous research finding, the ideal gas equation and ideal gas, fluid dynamics and thermal dynamics were also included in the derivation of the equation of state of the detonation Wave.

目前国内可量测爆震波速度的仪器并不普遍，因此爆震波速度值得之不易，想利用爆震波速度来探讨爆破震动的特性更是难上加难，本文将依据理想气体方程式、流体动力学、热力学、理想气体多变定律和相关的经验公式，结合冲击波和爆震波传递时质量、能量和动量守恒的理论，推导爆震波的状态方程式，并藉由爆震波的状态方程式了解爆震波的特性及其应用。

For that, using Darcy law, ideal gas state equation, mass conservation law and moment equation, the paper presents the pressure distribution equation in the porous media and lubricated film including hydrostatic and aerostatic porous thrust bearings (circular pad and rectangular pad), hydrostatic and aerostatic porous journal bearings and hydrostatic and aerostatic porous spherical bearings.

为此，本文利用Darcy定律、理想气体状态方程、质量守恒定律、动量方程以及相应的边界条件，给出流体在多孔质内部和流体薄膜内部压力分布方程，结果表明这两个流动域内部流体压力分布方程是相互耦合的。

An even more important fact is that these symmetries implicate a large number of conservation laws at the particle level.

还有一个更重要的事情，这些对称性暗示着大量的守恒定律。

In chapter two,We present a globally nonlinear implicit difference scheme,i.e., a nonlinear iterative algorithma has to be used to solve the system of the nonlinear algebraic equation at each discrete time step.

第二章构造了一个非线性隐差分格式，在每一个时间层上需要迭代求解非线性方程组，该格式可以保证离散电荷和离散能守恒。

Invariants can be calculated from incidence matrix and used to analyze the properties of systems.

根据Petri网的关联矩阵，解得它的不变量，就可以分析系统的某些特性，如安全性、有界性、守恒性、死锁等等。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。