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Furthermore, if the entropy of the flow remains as a constant, we can have the isentropic Euler system, and if the flow is assumed to be irrotational, we can have the potential flow equation.

例如假设流体状态的变化与时间无关,只与空间状态有关,那么我们可以得到定常的欧拉方程组;如果再假设流体的熵保持为常数,那么我们进一步得到等熵的欧拉方程组;如果再假设流体的速度场满足无旋条件,我们可以得到所谓的位势流方程组。

It leads to one simple equation, which, in the isotropic case, is the bipotential equation

因为它可以推出一个简单的方程,在各向同性的情况下,这个简单方程是一个双位势方程。

Race of powerful southwest field, low altitude, to Yingdede area in a steady stream offerred enough lunt; ceaselessly close ground layer is in low chamfer brim, force is not steady energy grow in quantity, the generation that is durative strong precipitation was offerred spark enoughly mechanism.

强劲的西南风场、低空急流,向英德地区源源不断地提供了充足的水汽;近地面层处于低槽边缘,位势不稳定能量增多,为持续性强降水的产生提供了足够的触发机制。

The results show that meridional wind stress of one class that diverges or converges affects velocity and geopotency field.

结果表明,只有一阶的经向风应力或具有辐合辐散的经向风应力才对最后的速度场和位势场造成影响。

It is also shown that one of the most important reasons of the heavy rain amplification is the cold air which spreads to south from midlatitude in the lower troposphere and transports into the typhoon low pressure. The study of PV on isentropic surface shows the active state of the midlatitude cold air. The tropopause folding, which means that high PV spreads downward from the upper troposphere or stratosphere, helps the releasing of potential instability energy and the development of rainstorm.

分析表明:对流层低层中高纬度冷空气扩散南下在台风低压环流区附近的"侵入"作用是此次特大暴雨过程的最重要的原因之一;等熵面位涡的分析进一步说明了中高纬地区冷空气的活动状况;对流层高层或平流层低层高位涡的下传有利于位势不稳定能量的释放,使得暴雨增幅。

Fig.5 depicts the Southern Hemisphere midlatitude 300-hPa geopotential height field.

图 5 给出南半球中纬度 300 百帕位势高度场。

The main results and novelties of the paper are as follows:Firstly, we study the existence of nontrivial solution for the following nonlinear equations with singular pontential By using variational methods and critical point theory, we construct linking type critical value of this kind of singular elliptic equations, with the properties of the eigenvalue, we estimate the critical value and prove the local condition holds to show the existence of the nontrivial solution.

论文的创新点及主要结果如下:首先研究有界区域上具有奇异位势的非线性方程的非平凡解的存在性,运用变分方法与临界点理论,构造这一类奇异椭圆方程的环绕型临界值,并由特征值的性质给出临界值的估计,同时证明局部条件成立,最终证明方程非平凡解的存在性。

Zhu Jialin[23]used a simple layer distribution expression based on velocity-pressure formula for the Dirichlet problem of Stokes equation with a Galerkin boundary element method and presented some numerical examples calculated by constant boundary element.

祝家麟从速度-压力公式出发,利用单层位势表示定常Stokes 方程Dirichlet 问题的解,用Galerkin 边界元法求解,并用常单元给出数值算例。

The computational forms of conservative and nonconservative full—potential equations in an arbitrary non—orthogonal coordinate system have been developed by using simple and convenient mathematical derivation.

一、用简便易懂的数学推导,给出了一般曲线坐标系上守恒及非守恒型全位势方程的计算形式,对推导中引进的符号从物理上作了解释。

The model consists of the conservation laws for the electron density and the current density coupled to the Poisson equation for the electrostatic potential.

该模型由电子密度和电流密度的守恒律方程组相合上关于静电位势的Poisson方程而组成。

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This paper discusses design and realizable methods of remote test output interface from logical design angle.

本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

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这也适用于建筑物和地质特征。

We all hope for a better life.

我们都希望好的生活。