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Since theparabolic system is an approximation from the elliptic system under small ray angle,we may have reasons to question the result of the parabolic system under large rayangle.

由于抛物方程是椭圆方程在小掠射角条件下的近似,我们有理由对抛物系统在大掠射角情况下的考察结果的可靠程度保持怀疑。

The numercial simulation has been carried out, and the experimental results show that this method has been improved significantly comparing with the traditional one in nonlinear optics. Secondly, a second order system of semilinear elliptic equations, which comes from a mathematics model of the electric potential distribution of a media surrounded with the protein, is transformed into a variational problem, the existence of solution of it is proved by using variational principle and Trudinger—Moser inequality, and the relation between the solutions of variational problem and the solutions of its dual problem is obtained.

首先,讨论了非线性光学中的二次谐波产生的耦合方程组,利用变分法证明了耦合方程组非平凡解的存在性,然后进行了数值模拟,实验结果表明文中方法比经典的非线性光学中的方法有较大的改进,这对优化光倍频器件的设计将有所帮助;其次,将一类二阶半线性椭圆型方程组转化为一个变分问题,然后利用变分法和

In inertia system K,geometric sphere is changed to elliptic sphere in K system by Lorentz transformation ,and the pre-sphere of optical wave in K system is changed to sphere in K system.

对惯性系K中的几何球面施以洛仑兹变换,在K′系得到扁椭球面;对K中的光波前球面,在K′系则得到球面;两者皆源于时空的基本属性,但前者是由于物体长度的相对性,后者则是由于光速的不变。

Furthermore, all solutions obtained are non-radially symmetric. The second part of the thesis studies a type of elliptic equations with singular coefficient i.

与以前工作不同的是,尽管问题具有径向对称形式,本文所给出的这些解都是非径向对称的。

Second,around each of m-dimensional tori of elliptic or mixed type there arehigher-dimensional invariant tori.

第二,环绕在m维椭圆型和混合型环面的周围存在维数更高的不变环面。

Using the method of blow up lower and upper solutions, the existence and boundary behavior of positive boundary blow up solutions for some elliptic systems of competitive type with singular weight functions are obtained, here the singular weight functions are permitted to be bounded in some parts of the boundary, and to go to infinity or even oscillate in other parts.

利用爆破上、下解方法,本文建立了带奇异权函数的竞争型椭圆方程组正的边界爆破解的存在性和边界行为,这里奇异权函数可以在边界的某一部分有界,而在其他的部分趋于无穷或者震荡。

The mountain base assumes northwest the elliptic type which extends to the southeast direction, the crater also assumes the ellipse shape, the deep 60 meters, have 20 buildings to be high fully.

山底部呈西北向东南方向延伸的椭圆型,火山口也呈椭圆状,深60米,足有20层楼高。

Inthe first section,under the non-convex case we are devoted to investigate an optimalcontrol problem for a class of semilinear elliptic type equations which admit exactly twosolutions.By analyzing the property of a soltuion of the state equation and establishing the proper energy estimate,we prove the relaxed control method is fit for our problemand gain the Pontryagin\'s maximum principle.

第一节,在非凸情形下我们致力于一类只有两个解的半线性椭圆型方程的最优控制问题,通过对状态方程解性质的分析并建立适当的能量估计,我们证明了松弛控制方法对本问题的适用性并得到了最优对的Pontryagin\'s最大值原理。

The elliptic type governing equations, subject to free boundary conditions, have been solved to sutdy the velocity, temperature, and pressure distributions throughout, as well as local Nusselt numbers from 10/sup 2/ to 10/sup 6/ are presented for both symmetric and asymmetric heating cases, and the influence of wall temperature difference ratio, r'/sub T/ on the flow pattern is also considered.

由求解椭圆型统制方程式及利用自由边界处理方法,来计算整个流场的速度,温度和压力分布,以及在板面上之局部纳瑟数。葛拉修数的计算范围为102-106,且包括对称及不对称加热二种情形,尤其是二板温差比。gamma。/sub T/对流场的影响方面。

In a steady compressible flow, if the method of stream function is applied, the stream is satisfied by a specific boundary value problem for partial differential equation of quasilinear elliptic type when the flow is subsonic.

可压缩流动;马赫数;西安交通大学;函数方法;流函数;有限元解;稳定的可压缩流动中,若用流函数方法,当流动是亚音速时,则流函数满足一种特殊的拟线性椭圆型方程的边值问题。

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推荐网络例句

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。