查询词典 consistent equations

norm ; consistent perturbation ; linear equations

应用方面主要是讨论线性方程组解的界的估计。

For convection dominated diffusion equations with constant coefficients, the implicit scheme is consistent,unconditionally stable and its L~2 error estimation is derived.

对常系数的对流占优扩散方程而言，基于一边有限差分和中心差分的隐格式是相容的并且无条件稳定，对应L~2误差估计被推导。

Nonlinear flexural wave equation is solved by the Jacobi elliptic function expansion method. Two kinds of exact periodic solutions of the nonlinear equations are obtained, that is, the shock wave solution and the solitary wave solution. The necessary condition for existence of exact periodic solutions, shock solution and solitary solution is discussed, which is consistent with the qualitative analysis.

利用Jacobi椭圆函数展开法，对该非线性方程进行求解，得到了非线性波动方程的准确周期解及相对应的孤波解和冲击波解，讨论了这些解存在的必要条件，这与定性分析的结果完全相同。

In this paper, a general, strain-consistent, third-order displacement field of shells is proposed. On this basis, the nonlinear theory of composite laminated shells including third-order transverse shear deformation and rotary inertia is developed. Hamilton's variational principle is used to derive the nonlinear static and dynamic governing differential equations and the corresponding boundary conditions of composite laminated anisotropic general shells under the orthogonal curvilinear coordinates. And the form of spherical shells is degenerated.

本文提出了一种最普遍的应变协调、三阶壳体位移场，在此基础上建立了考虑三阶横向剪切变形和旋转惯性的复合材料层合壳体非线性理论，用Hamilton变分原理导出了复合材料层合各向异性任意壳体在正交曲线坐标系下的非线性静、动力控制微分方程和相应的边界条件，并将其蜕化为球壳形式。

Deduce the expression the ponderomotive force. The self-consistent nonlinear equations are worked out. The propagation characters are discussed.

推导了高功率微波对等离子体的有质动力的表达式，得出了自洽的非线性方程组，并对等离子体填充波导中的传播特性进行了理论分析，数值计算和粒子模拟。

We set up the angular momentum conservation model of wind accretion of Ba stars, and then derive the change equations of the orbital elements. Finally, combining the heavy element nucleosynthesis of AGB stars, we creatively calculate the heavy-element overabundances of barium stars in a self-consistent manner adopting accreting and mixing on successive occasions.

我们建立了Ba星形成的星风吸积的角动量守恒模型，推导出其轨道根数的变化方程，并结合AGB星的重元素核合成，通过逐次脉冲吸积与混合，自洽地计算出Ba星的重元素超丰。

As a result of this reappraisal of the problem of infinities, we now know that the field equations of the standard model are not of the very simple type that would be renormalizable but that they actually contain every conceivable term that is consistent with the symmetries of the theory.

只有那些用最简单的、且可允许的场方程表述的理论是可重正化的。18作为重新评价无强大问题的结果，我们现在认为，标准模型的场方程并不是可重正化理论中最简单的一种，它们实际上把与理论的对称性相一致的每一个可能的项都包括进来了。

After separating velocity parameters from hypocentre parameters, the introduction of an orthogonal projection operator has made the system of equations for hypocentre parameters consistent.

这就使得有可能通过台网的适当布局，获得地震定位的唯一解。在数值方面，本文还提出了利用矩阵的块结构采取顺序正交三角化的方法，减轻了内存的困难。

A set of nonlinear self-consistent equations is settled in this paper.

本文建立了一套非线形自恰的流体力学方程组。

In the fourth chapter, some general equations are studied, of which Abel equation and some equations that have been intensively studied are the special cases.

第三章利用Abel方程已有的结果来讨论多项式系统的极限环的存在性，个数和稳定性，推广了水树良和蔡燧林的相关工作。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。