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On the basis of similarity principle study of the ASP ternary complex flooding, we adopt the method of simplicity, take the foam into differential equation, construct the similarity criterion and the similarity principle of differential conditions, the similarity criterion and the similarity principle are checked and analyzed by numerical simulation and physical simulation method.

在三元复合驱相似原理研究的基础上,采用简化的方法,将泡沫相引入微分方程,建立了泡沫复合驱物理模拟全相似准数及不同条件下的相似准则,并利用数值模拟方法、物理模拟方法对准则进行了检验和敏感性分析。

The main work of this paper is: First,we get the condition that the equation 2py~2 = 2x~3 + 3x~2 + x have no positive solution by the method of simple congruence and decomposition.

利用简单同余法、分解因子法等初等方法,给出了方程2py~2=2x~3+3x~2+x无正整数解的条件。

Considering enough first integrals,such as conservation of energy and angular momentum,the system is integrable by Liouville's theorem.

利用能量积分,根据惠特克定理对系统的动力学方程进行降阶,并根据旋转数给出系统作周期或准周期运动的判别条件。

These are equations of local conservation of mass and the jump condition.

这些就是局部质量守恒方程和跃变条件。

This method is based on the theory of stability of linear time-varying systems. It realizes the synchronization by transferring high time-varying systems into low linear constant coefficient system.

该方法基于线性时变连续系统的稳定性理论,通过把高维时变系统的稳定性判定简化为低维定常辅助方程稳定性判定,从而减弱了时变系统的稳定性条件,实现了系统的耦合同步。

Based on the basic diffusion theory, the general model of the contaminant transport in the environment is presented.

然后从最基本的扩散理论入手,建立了污染物质在环境介质中传输的通用模型,再结合土壤这一特定的环境介质,对传输模型进一步深化,得出能准确地表达出污染物在各种土壤条件下的运移过程的数学方程,并给出了各种典型情况下的解析解。

By using the cone theory, t he existence and uniqueness of solution of nonlinear Fredholm type integral equations on an infinite interval can be obtained without the assumption of continuity and compactness condition.

利用锥理论,在不需要非线性项满足连续性和紧性条件下,获得无穷区间上Fredholm型积分方程解的存在唯一性,并给出逼近解迭序列的误差估计。

Because of that, the boundary conditions of continuity equation are different from those of conventional cells.

它的存在使得p区的连续方程边界条件不同于普通电池。

In 1987,applying the connection of continuity method and aprior es-timate technique,Wang Guanglie,[11],got the existence and uniqueness of theclassical solution of (1)(2) under some compatibility conditions.

对于此方程的第一初边值问题(1)(2),1987年,王光烈在文[11]中用连续性方法和先验估计技巧,在一定条件下得到了古典解的存在惟一性。

Both continuous paraxial approximation formula and two order discrete paraxial approximation formula are developed for one way wave motion transmitting apparently along normal direction based on kinematics model and local polynomial interpolation function.

引言 Clayton和Engquist在1977年和1980年提出的傍轴近似公式[1,2]是迄今为止最具代表性的局部人工边界条件之一。但是上述傍轴近似公式是从特定的波动微分方程出发推导建立的,因此其普适性受到限制。

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