查询词典 condition equation

The fluid model includes the continuous equation of particles and Poisson equation, etc.

流体模型主要包括粒子连续性方程和泊松方程。

This paper studied on electromagnetic field computation Poisson equation, and built discrete equation for resolve in EFGM.

无网格法作为一种新兴的数值方法，解除了节点的网格束缚，能够消除由于网格存在所带来的缺陷。

At the chapters of theory analysis,constitutive equation of dusty is deduced from the results of the experiment and related theories about oblique shock wave.after that relationship of parameters reflecting flow-field characteristic are deduced from theories of shock wave polar .The paper set up conservation equations depicting gas and solid flow-field by double fluid model,thus equations and constitutive equation of granular phase form closed equations.then the paper uses AUSNT vector splitting method to numerically calculate the equations.

理论部分主要包括：利用实验测试结果以及斜激波理论测试出该堆积粉尘的本构方程，然后利用和激波极曲线理论得到反映流场特征参数的变化曲线；本文还利用双流体模型，建立了描述气—固两相流动的守恒型方程组，与本构方程一起构成封闭方程组。

The input-output equation, which is proved to be a 42th degree polynomial equation, is obtained.

对次数的判定后证明方程的解为42个，即该平面五级组可以有42种构型。

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion, respectively. The original stochastic partial differential equation is transformed into a series of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为Karhunen-Loeve展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion , respectively. The original stochastic partial differential equation is transformed into aseries of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为 Karhunen-Loeve 展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

Carleman不等式及其在最优控制问题中的应用.Optimal control theory of distributed parameter systems mainly includes: Pontryagin's maximum principle; controllability; Hamilton-Jacobi equation (i.e., dynamic programming equation); time optimal control, etc.In this dissertation, we establish Pontryagin's maximum principle of optimal control problems governed by some nonlinear differential equations (parabolic differential equations, elliptic differential equations and 3-dimensional Navier-Stokes equations), which in particular could have local solut...

在这篇博士论文中，我们建立了非线性微分方程(包括抛物型微分方程，椭圆型微分方程以及3维Navier-Stokes方程)最优控制问题的庞特里雅金最大值原理，特别地，这些方程可能只有局部解或存在多解(我们称这样的系统为非适定系统，相应的最优控制问题为非适定最优控制问题)，以及适定的非线性发展方程最优控制问题的庞特里雅金最大值原理；我们研究了phase-field系统的时间最优控制问题以及Boussinesq系统的局部内可控性。

On the basis of Landau-Lifshitz-Gilbert equation and Fokker-Planck equation,through analyzing the current induced magnetic switching and potential change,a new model to explain the potential barrier reducing is proposed.

在对称系综模型的Landau-Lifshitz-Gilbert和Fokker-Planck方程的基础上，分析了电流驱动磁动力学开关过程和电流引起磁势能的变化，提出一个新的电流感应磁势垒降低模型。

Logistic equation, growth of the population, differential equation, power exponent.

逻辑斯蒂方程，人口增长，微分方程，幂律指数

The voltage and the sensitivity of voltage to system operation parameters are calculated by Newton power flow approach; the various higher order derivatives of voltage and voltage sensitivity to line openbreak parameter can be obtained by using the convergent correction equation of power flow and the equation of calculating sensitivity for the N power system. Finally, the voltage and sensitivity of N-1 power system can he calculated by correcting the voltage and sensitivity of N power system by Taylor series expansion.

通过牛顿潮流计算出N网络的各节点电压及其对系统运行参数的灵敏度；利用已收敛的潮流修正方程式和N网络灵敏度计算方程式分别对线路开断参数多阶求导，从而计算出电压和灵敏度对此线路开断参数的多阶导数值；根据泰勒级数展开式修正N网络的电压和灵敏度值，得到N-1网络的电压和灵敏度值。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。