有界性

There are series of papers studying the solvability of an incompressible, viscous, instationary fluid contained in a domian bounded entirely by a free surface. In 1977, Solonnikov proved its local solvability in a Holder space for any initial date but without surface tension. In 1984, he considered the same problem in a Sobolev space with surface tension being taken into account. In I992, Mogilevskii and Solonnikov treated the same problem in a Holder space, where the coefficient of surface tension is not a constant. There are also short-time existence results for the solvability of an incompressible, vicous, unsteady fluid bounded above by a free surface and below by a fixed bottom which approach horizontal planes at infinity. In 1981, Beale proved its local solvability in a Sobolev space for any initial date but without surface tension. In 1983, Allain were concerned with the same problem in R〓 with surface tension but under the assumption that the initial fluid domain was near a horizontal strip. In 1987, he obtained the same result without the preceding assumption. In 1996, Tani solved the same problem in R with surface tension. For the solvability of an incompressible viscous instationary fluid in Ω R bounded inside by a free surface S and outside by a rotating boundary S, in 1995 Ciuperca proved its local existence in a Sobolev space for any initial date but without surface tension. In this paper, we consider the same problem with surface tension.

对于边界完全是由自由边界组成的有界区域中粘性不可压流体的非定常运动问题，Solonnikcv于1977年在忽略表面张力情况下证明了初值问题小时间解在Holder空间的存在性，于1984年在有表面张力情况下证明了初值问题问题小时间解在Sobolev空间的存在性，Mogilevskii和Solonnikov于1992年在表面张力系数可以不是常数情况下证明了初值问题小时间解在Holder空间的存在性；对于上面是自由边界、下面是固定边界且两边界在无限处趋于水平的无限区域中粘性不可压流体的非定常运动问题，Beale于1981年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性，Allain于1983年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性，但其中假定初始区域近似是个水平条，他于1987年去掉了这个假定得到同样的结果，Tani于1996年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性；对于R中内面是自由边界、外面是旋转边界S的有界区域中粘性不可压流体的非定常运动问题，Ciuperca于1995年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性，本文考虑了在有表面张力情况下初值问题可解性问题。

In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

Swartz in 1989 is not the strongest admissible topology having the same boundedness as the weak topology σ.

C.Swartz于1989年引进的K并非具有与弱拓扑σ相同有界性的最强可容许拓扑，本文找到了这种最强的可容许拓扑，从而改进了C.Swartz的结果。

The two types of control schemes can both ensure the global boundness of all closed-loop signals.

但这两种控制方案仍然都能保证闭环系统所有信号的全局有界性。

Both adaptive and robust control schemes can guarantee the global boundness of all closed-loop signals.

不论是自适应控制方案，还是鲁棒控制方案都可以保证闭环系统所有信号的全局有界性。

Simulations are given for all control schemes designed in this dissertation, and they show that the control schenies can not only ensure the global boundness of all closed-loop signals, but also have good control effects (that is, the steady output tracking error is very small).

本文对所设计的所有控制方案都进行了仿真研究，仿真结果表明，这些控制方案不仅可以保证闭环系统所有信号的全局有界性，而且可以获得很好的控制效果（即稳态输出跟踪误差很小）。

Neither the off-line learning process, nor the persistency of excitation is necessary in guaranteeing the boundness of the NN's weights.

在网络训练中不要求网络权的离线学习，在网络权算法有界性保证中、由于引入了基于误差修改的稳定项而不需持续激励条件。

The core of this thesis,which consists of the five chapters,discusses mainly the bound-edness on the homogeneous Morrey-Herz spacesdenoted by MK_(p,q~for some classes of higher order commutators which are generated by some common linear or sublinear op-erators.

本文共分五章，主要讨论了一些常见线性算子的高阶交换子在齐次Morrey-Herz空间MK_~上的有界性问题。

In this paper, a structural methodology for bottom-up synthesis of Petri Nets for IC Flexible Manufacturing Systems is presented for the first time. With the help of a guarantying policy of liveness, a live, bounded and reversible final model can be obtained by merging different submodels through what is called autonomy subnet sharing among them. To demonstrate the application of the method, a flexible manufacturing system of integrated circuits is modeled and analyzed using the proposed theory.

本文首次提出了一种面向集成电路柔性制造系统的基于共享&自治子网&融合和活性保证策略的&至底向上&的Petri网结构化建模方法，在理论上证明了该方法保证所得模型的活性、有界性和可逆性，并且利用该方法与着色Petri网结合，对一个集成电路柔性制造系统进行了全面的建模和分析。

By applying maximum principle we can get the uniform boundedness of the corresponding viscosity solutions; Furthermore we exploit three groups of strong-weak entropy combinations to get the H l?

文中分线性源项和一般源项两种情形进行讨论，利用极值原理导出粘性解的一致有界性，通过强弱熵组合得到熵方程的Hl？

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。