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The interactions of elliptic function waves are nonelastic,while the interaction of the degenerated coherent soliton structures dromions and lumps may be elastic and nonelastic as well.

此外,我们还构造了在雅克比椭圆函数波背景下的Dromion孤子,这种新的复合波形态与海洋中发生的畸形极值波极其类似。

In this paper,the existence of the nontrivial solution to a class of quasi-linear elliptic problem is investigated based on the Hardy inequality and the Mountain Pass Geometry.

使用Hardy不等式和山路几何研究了一类拟线性椭圆问题非平凡解的存在性。由于难以得到所讨论的问题的基本解,因此研究中对基本解进行了估计,并证明了c条件

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。

Since the solutions of this problem are the critical points of the associated energy function. One generally needs some compactness such as PScondition or C-condition to prove the existence of critical points of the energy func-tion, but when we study the elliptic equation in R~N, the compactness condition does not always hold since the imbedding of the Sobolev space H_0~(1,2)into L~(2*) is not compact. In this chapter, based on the nonsmooth critical point theory, and by using the approximation technique with periodic function, the existence of nontrivial solution is obtained.

由于该方程的解就是其所对应的能量泛函的临界点,通常都要在一些紧型条件的基础上来证明其所对应的能量泛函临界点的存在性,但当我们在无界域上考虑该椭圆方程解的存在性时,Sobolev空间H_0~(1,2)到L~(2*)的嵌入非紧,从而导致所对应的能量泛函失去紧性,本章在非光滑临界点理论的基础上,应用周期逼近的方法证明该问题非平凡解的存在性。

In this paper we study the effect of numerical integration in expanded mixed finite element methods for linear elliptic problems.

关于数值积分对椭圆型及抛物型方程有限元方法的影响,已有一些研究,本文考虑了数值积分对扩展混合有限元方法的影响。

Corolla limb 4-6 mm wide; leaf blade oblong to elliptic; stipe of nutlet 0.2-0.3 mm.

花冠瓣片4-6毫米宽;叶片长圆形到椭圆形;小坚果0.2-0.3毫米的柄 12

Thirdly, the standered SIMPLE algorithm of Patankar forsolving tWo-dAnensional elliPtic kind equations in orthogonal coo-rdinates is developed, A gerneral comPuter program for solvingequations goveming the laxninar flows and tubulent flows usingcolocated grids in orthogonal coordinates is built.

在S.V Patanker求解二维定常椭圆型方程的SIMPLE程序的基础上,加进同位网格的内容,编制了层流、紊流计算程序,用1)平行平板层流;(2)后台阶层流:(3)正方形方腔层流自然对流三种典型流动状态检验了层流同位网格SIMPLE计算程序,结果显示与一般规律及理论解吻合甚好。

We found that during the growth process the double steps first grow separately and the connected by short bridge before tangential growth. After eighth or ninth layer the spiral steps would merge into intact elliptic layers. At the merging point right-handed spiral sources might appear but the left ones always overgrow it which made the whole growth topography looked like left-handed apparently. It indicated that the EAFP molecules has strong ability to adjust itself to adapt the environment. 5. Through various analysis of interactions in the EAFP crystals it indicated that there were 218 residue interactions between 12 symmetry-related EAFP molecules around one EAFP molecule, 18 strong ones and 72 weak ones .

EAFP在低过饱和度下的螺旋生长过程中会出现台阶的合并,从而表现出单-双的螺旋台阶,在小范围扫描中捕获到了这种现象,使得对螺旋生长台阶的合并过程有了更加深入的认识;并且台阶的生长受到沿晶体学b轴方向上的21螺旋对称的控制;当台阶生长至第八到第九层时,螺旋台阶会自动地形成完整的生长层,这充分说明了EAFP分子或分子簇具有良好的自身调节能力,这样在晶体生长过程中,晶体的缺陷减少,晶体质量提高,这也可说明EAFP晶体的x射线衍射能力很强的原因。

The elliptic electric potential equation is solved by Gauss-seidel iteration using a successive overrelaxation technique.

椭圆型电场方程采用控制容积积分方法离散,用Gauss-seidel迭代加超松弛方法求解。

Then the single layer spherical, cylindrical, elliptic paraboloidal reticulated shell and double layer cylindrical reticulated shell are calculated on the large deformation stability respectively, which show the application of the development system on the large deformation stability analysis of space bar structures.

用所开发的系统对单层球面网壳、圆柱面网壳和椭圆抛物面网壳以及双层柱面网壳进行了大变形稳定性计算,说明了所开发系统的可应用性。

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He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是,如果你们想吃的话。

In addition to his fee, he would be awarded an unaltered clone of himself.

除了费用,他将获得一个不作任何改造的克隆体。