查询词典 dirichlet boundary condition

In this thesis, we consider positive solutions of a degenerate parabolic system with homogeneous Dirichlet boundary condition. It is proved that all positive solutions exist globally iff 12≥abλ, whereλ1 is the first eigenvalue of ??

该论文研究一类具有齐次Dirichlet边界条件的退化抛物方程组正解的性质，证明了所有正解整体存在的充要条件是12≥abλ，其中λ1是具有齐次Dirichlet边界条件的？？

Fin ally, some numerical results to validate this method are presented for partial d ifferential equations with Dirichlet boundary condition.

最后 ，我们给出一些数值结果以验证这种针对 Dirichlet边界条件的偏微分程解法。

Using the domain derivative of the far-field pattern for eddy-current inverse problem with Dirichlet boundary condition,a new algorithm to recover the shape of cracks was constructed and some numerical examples were given.

运用Dirichlet边界条件下涡流检测反演的远场区域导数，构造了反演缺陷形状的一种新算法，并且给出了二维及三维的算例，数值反演的结果与实际缺陷吻合得较好。

Secondly, regarding the diffusion rate as a bifurcation parameter, we show that the one-dimensional competition diffusion system with infinite delay and Dirichlet boundary condition exhibits the spatiotemporal structure near the steady state of the system.

介绍问题的生物学背景，概述Logistic模型和Volterra模型的研究历程并提出我们所研究的课题，另外还给出了所需的基础理论。

At last, in Section 3, we calculate the Pohozaev identity for p-harmonic equation under Navier or Dirichlet boundary condition from which we obtain the corresponding nonexistence of nontrivial solutions for p-harmonic equations with critical growth.

最后在第三节中，我们分别对带Navier边值条件和Dirichlet边值条件的p-调和方程的Pohozaev恒等式作了演算，并利用这些恒等式得到了相应的p-调和方程临界增长问题的非平凡解的非存在性结果。

In this paper, the Bistatic scattering coefficient from one - dimension Gaussian perfect conductor random rough surface is computed by the Moment method in Dirichlet boundary condition, and the basis function is taken as the pulse function and weighting function in the point matching method.

采用矩量法计算狄利克莱边界条件下一维高斯型随机粗糙面的收发分置的散射系数，运用脉冲基函数和点匹配的矩量法，在入射波为锥形波的条件下，分析了两种频谱函数下的仿真结果。

The eigenvalues and eigenfunctions of Laplacian with Dirichlet boundary condition on equilateral triangles are derived from one dimensional representation of D3 group.

由D3群一维表示，得到了正三角形上满足Dirichlet边界条件拉普拉斯算子的本征值和本征函数，并讨论了本征函数的对称性。

What differ from that of the researchers in the past is the consideration of the direction of Hopf bifurcation with Dirichlet boundary condition , that is, the conditions when the Hopf bifurcation periodic solutions are orbitally asymptotically stable with asymptotic phase.Our basic idea come from the results given by Tang[30]. We adopt the method used by Hassard in the Hopf bifurcation theorem in [24], which is to judge the existence and the direction of Hopf bifurcation, and the stability of the Hopf bifurcation periodic solutions.

与以前的研究者不同的是，本文不仅讨论了在Dirichlet边界条件下系统的Hopf分支在以扩散系数为分支参数的情况下的存在性和分支周期解的空间非齐次性，而且更多的关注了系统在Dirichlet边界条件下Hopf分支解的稳定性及Hopf分支的方向，也即系统定态解在何种条件下，当分支参数如何变化时产生Hopf分支且分支周期解是带渐近位相轨道渐近稳定的。

In this paper we mainly utilize super and sub solution techniques, use comparision principle and construct appropriate supersolution and subsolution by eigenfunctions to discuss two kinds of nonlocal nolinear parabolic systems with homogeneous Dirichlet boundary condition.

两类非线性抛物方程解的整体存在与爆破性质本文主要利用上下解方法，运用比较原理，通过特征函数等构造适当的上下解讨论了两类抛物型方程组解的整体存在与爆破。

The boundary conditions are assumed to be either the Dirichlet condition or linear Robin conditions.

在第一章，我们应用上、下解方法，bootstrap技巧和Schauder不动点定理考察如下三类周期反应扩散方程组的周期稳态解的存在性和一般的时变解的渐近性态：（1）拟单增系统；（2）混拟单调系统；（3）一个非拟单调2-系统，其边界条件是Dirichlet条件或线性Robin条件。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。