查询词典 variational equation

In this paper, some characterizations of solutions for a system of vector variational inequalities are derived under the assumption of PPM (where F and-F are both pseudomonotone). Moreover, a gap function for this system of vector variational inequalities is suggested and proved to be weak sharp minima under strong monotonicity.

该文研究了一类向量变分不等式组，在PPM条件下，对其解进行了一些刻画此外，给出了该向量变分不等式组的一个间隙函数，并在强单调条件下，证明了它是弱尖极小的。

By modification of the mixed Gurtin variational principle in Laplace space, a variational formulation is developed with respect to interior displacements and the transverse shear components of stresses in elements.

通过修正Gurtin型混合变分原理，给出了一个以单元内部位移和单元应力中横向剪切应力分量为参变量的部分应力杂交变分格式。

By combining cell-transit model with variational inequality formation of dynamic transportation analysis, the cell-based variational inequality formulation of dynamic user optimal assignment model is used to evaluate quantificational the affection of different management strategies cutting traffic congestion.

本文在平衡交通流分析框架下，着重研究了行人自行车对平衡交通流的影响分析、拥挤道路使用收费对平衡交通流的影响分析、基于元胞-变分不等式动态交通模型的交通评价和区域出入口交通需求O-D矩阵估计技术四个基本问题。

Variational problem is a bridge to solve boundary values by variational inequality.

变分问题是用变分不等式解决边值问题的桥梁。

Besides, the relation between the variational principle and Calerkin variational method is deduced.

另外，还推导了该变分原理与Calerkin变分方法的关系。

On the basis of the un conditional variational problem of higher order derivatives, this paper studies conditional variational problem .

在含高阶导数的泛函无约束变分问题基础上，进一步研究条件变分问题。

The variational problem of semi-discrete problem is given, the well-posedness of the variational problem is proved, and some error estimates are presented.

给出半离散化问题的变分问题，证明了变分问题的适定性，并给出了误差估计。

In this context a genetic algorithm was applied to the four-dimension (4-D) variational data assimilation, which provided a kind of new and effective method in the initial field optimization. The theoretical basis and detailed algorithm were introduced in this paper. At the same time, according to the property of the variational problem itself, we designed the rational genetic coding, operators and parameters.

本文将遗传算法应用于四维变分资料同化问题，提供了一种新的较为有效的NWP初始场优化方法，给出了相应的理论依据和详细算法，并结合变分问题本身的特点，设计了合理的遗传编码、遗传操作和遗传参数。

In this paper,we first establish an equivalence between a vector variational inequality problem and a generalized variational inequality problem.

文章首先建立了向量变分不等式与广义变分不等式之间的等价关系，然后利用这个结论，建立了向量变分不等式的Levitin-Polyak适定性与广义变分不等式的Levitin- Polyak适定性之间的等价关系。

The thesis consists of three parts:The first part deals with optimal Sobolev inequalities on compact Riemannian manifolds;the second part is concerned with some variational models in image processing,and we propose variational models as well as experimental results for detection,denoising and mosaicking;the last part deals with inverse differential geometry in 3-D non-local image restoration.

本论文由三个部分组成。第一部分是流形上的非线性分析：第二部分是基于能量极小化方法的图像处理；第三部分是三维非局部图像重建及逆向微分几何。在第一部分中，我们研究了紧致流形上的最优Sobolev不等式，证明了某些不等式虽然就整体而言是不成立的，但总是局部成立的。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。